In a statewide lottery, one can buy a ticket for $1. With probability .0000001, one wins a million dollars ($1,000,000), and with probability .9999999 one wins nothing ($0). Let Y denote the winnings from buying one ticket. Construct the probability distribution for Y. Show that the mean of the distribution equals .10, corresponding to an expected return of 10 cents for the dollar paid.

Answers

Answer 1

Using the expected value, it is found that the mean of the distribution equals $0.1.

The expected value, which is the mean of the distribution, is given by each outcome multiplied by it's probability.

The probabilities of each outcome are:

.0000001 probability of earning $1,000,000..9999999 probability of earning $0.

Thus, the mean is given by:

[tex]E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1[/tex]

Thus showing that the expected value is $0.1.

A similar problem is given at https://brainly.com/question/24855677


Related Questions

domain and range question

Answers

Answer:

sorry I don't know

maybe other can help you

Answer:

Domain [-5,9)

Step-by-step explanation:

the domain represents the beginning and ending of the x (sorry i dont know how to explain it in english)

and -5 is closed while 9 is open

meaning that the domain of this function would be a closed parenthesis -5, 9 open parenthesis (this ia how we do it in quebec)

thus [-5,9) (i dont know if this is how u guys do it) but if [ means closed and ) means open then this is the ans if not it would be the first one

In a lottery game, a player picks 9 numbers from 1 to 46. If 8 of the 9 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a reduced fraction in order to earn credit.

There is a _____
probability of winning second prize.

Answers

Answer:  [tex]\frac{37}{1,101,716,330}\\\\[/tex]

This is the same as writing 37/1101716330

======================================================

Explanation:

Let's say the nine winning numbers are: 1,2,3,4,5,6,7,8,9

Let's further say that if we matched everything from 1 to 8, then we'll win second prize. That ninth value can be anything but 9. So we could have something like one of these examples

1,2,3,4,5,6,7,8,101,2,3,4,5,6,7,8,111,2,3,4,5,6,7,8,12

As you can see, there are 46-9 = 37 different choices we can have for that last slot. In other words, there are 37 items in the set {10,11,12,...,45,46} we can pick for that last ninth slot. Note that 46-10+1 = 37. This value will form the numerator of the answer.

------------------------------------------

Now to calculate how many ways there are to select the nine values regardless if we win or lose.

Since order doesn't matter, we use the nCr combination formula.

[tex]_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{46} C _{9} = \frac{46!}{9!*(46-9)!}\\\\_{46} C _{9} = \frac{46!}{9!*37!}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38*37!}{9!*37!}\\\\[/tex]

[tex]_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9!} \ \text{ ... the ``37!'' terms cancel}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9*8*7*6*5*4*3*2*1}\\\\_{46} C _{9} = \frac{399,790,821,830,400}{362,880}\\\\_{46} C _{9} = 1,101,716,330\\\\[/tex]

There are slightly over 1 billion ways to select the nine values.

This large value is the denominator of our answer which is [tex]\frac{37}{1,101,716,330}\\\\[/tex]

The 37 up top represents the number of ways to win the second prize we're after, while the massive number in the denominator represents how many ways there are to play the game.

------------------------------------------

Notice that in the jump from step 4 to step 5, shown in the section above, we had the "37!" terms cancel out. What this means is that the prime number 37 is nowhere to be found anywhere in the factorization of 1,101,716,330

Why is this important? Because it tells us that the fraction [tex]\frac{37}{1,101,716,330}\\\\[/tex] cannot be reduced.

Side note: That fraction converts to the decimal form 0.00000003358397 approximately and that converts to the percentage form 0.000003358397%; both of which are very very small numbers. We can see that the odds are definitely stacked against the player.

I need help please ty

Answers

Answer:

1no=61

2no=53

Step-by-step explanation:

May this help you

A box of 6 nail polishes cost $10. How much is each nail polish?

Answers

Nail polish individually is worth about 1.66 dollars.

Answer:

1.66

Step-by-step explanation:

You should divide 10 by 6 hope it HELPED

Three friends divide two bags of apples equally between them. Enter the division represented by this situation as a fraction.

Answers

Answer:

3/5

Step-by-step explanation:

Answer: I would say 3 divided by 2 or it would be 3/2.

Step-by-step explanation: Hit me up if i got it right:)

CAN SOMEONE PLEASE HELP ASAP

Answers

9514 1404 393

Answer:

  D.  5

Step-by-step explanation:

The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...

  0 ≤ π/2 +nπ ≤ 16

Dividing by π gives ...

  0 ≤ 1/2 +n ≤ 16/π

Subtracting 1/2, we have ...

  -1/2 ≤ n ≤ 4.59...

The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...

  5 discontinuities in the interval

solve pls brainliest

Answers

Answer:

a) (x + 1780)

b) -12

Step-by-step explanation:

The car corporation produced more cars this month than the month before (indicated by x). A signed number is that which indicates whether or not there has been an increase/decrease also known as negative or positive, thus the final answer is +1780

The same step applies to fahrenheit.  

Identify an equation parallel to y = 9x + 4 passes through (2, 7).​

Answers

y=9x-11 is your answer

PLEASE HELP REALLY QUICK I WILL REWARD BRAINLIEST PUT FULL EXPLANATION AND ANSWER TO THE QUESTION BELOW!!!!!!!!

Answers

Answer:

[tex]x = 27[/tex]

Step-by-step explanation:

[tex]36 + 90 + 2x = 180 \\ 126 + 2x = 180 \\ 2x = 180 - 126 \\ 2x = 54 \\ \\ x = \frac{54}{2} \\ \\ x = 27[/tex]

I hope I helped you^_^

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate value of x ~

[tex]\qquad \tt \dashrightarrow \:36 + 90 + 2x = 180[/tex]

[ by linear pair property of straight line ]

[tex]\qquad \tt \dashrightarrow \:2x + 126 = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 180 - 126[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 54[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 54 \div 2[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 27 \degree[/tex]

I hope it's easy to understand ~

2x 32 10 10 find x please help ASAP

Answers

x = 16. Since it’s an Isosceles Triangle, the angles opposite of the line with the same length have the same value. So 2x=32, x = 16.

Apply the order of operations to simplify each expression.
5.5+23 x 2 =

21
17
50
13

Answers

Answer:

50

Step-y-step explanation:

Answer:

21

Step-by-step explanation:

5 + 2³ × 2 = 5 + 2⁴

=5 + 16

= 21

Jasmine is a receptionist at a doctors office. She books 36 appointments each day . Four out of every 24 appointments are cancelled. How many appointments are cancelled each day?

Answers

If Jasmine books 36 appointments each day, 6 appointments will be canceled.

Number of appointments booked each day = 36 appointments

Since four out of every 24 appointments are canceled. This means the fraction of appointments that are canceled will be:

= 4/24 = 1/6

Now, since three are 36 appointments each day, the number of appointments that are canceled will be:

= 1/6 × 36

= 6 appointments

In conclusion, 6 appointments will be canceled each day.

Read related link on:

https://brainly.com/question/25211807

DUE TODAY HELP!!

NO TIME FOR LINKS

I NEED THE EXPLANATION

Answers

Answer:

oh its 6 digit

Step-by-step explanation:

trust me

What is the probability of rolling a sum of 2 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary

Answers

1/6 times 1/6 = 1/36

-5(-3b - 2c)
show work if you want

Answers

Answer:

Two negatives equal a postive. So, 5*3 = 15b - (-5)*2 and that would equal 10c. Using the Distributive Property to multiply each side by -5.

Step-by-step explanation:

15b+10c is your answer.

Hope this helps! (:

the answer is 15b + 10c

What is the answer to this question?

Answers

Answer:

the answer is option 3rd

Simplify
6
20
× [ 8
15
] ÷ [−3
10
]

Answers

Answer:

620 x 815 = 505300   50530 divided by {- 310}  = - 1630

Step-by-step explanation:

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

6[(2×5)-4]

6(10-4)

6(6)

=36

Answer:

36

Step-by-step explanation:

  6(2b-4)        where b=5

= 6(2(5)-4)

= 6(10-4)

= 6(6)

= 36

I need help with number 5

Answers

Answer:

5

Step-by-step explanation:

-3a+24-9=0

-3a = -15

a = 5

Answer:

Step-by-step explanation:

solve the equation then plug in the to numbers


Please help me!!! -Tom saved up $250 to spend on vacation. If he spends 843 a week for four weeks, how much money
does he have left?

Answers

Answer:

Step-by-step explanation: first multiply 843 by 4 and you get 3372 then subtract 250 by 3372 and you get $- 3122

please help me with this sum​

Answers

Solution,

1.705

2.401

3.906

4.907

5.501

6.206

7.507

8.602

9.307

10.705

Hope it helps

Please mark me brainest

and follow me to get solutions faster.

Questions 16-26
Need Help ASAP!

Answers

Answer:

fjjwiddjrjefjdjdjdjdjdjdjdjdjjdjdjrjrjxbqvrdjd

Which of the following represents this statement? 4x-7>3

Answers

Answer:

b

.................................

Answer:

Step-by-step explanation:

The answer is actually a. Hope this helps :)

A motorboat can maintain a constant speed of 47 mph relative to the water. The boat makes a trip upstream to a certain point in 51 minutes; the return trip takes 43 minutes. What is the speed of the current?

Answers

9514 1404 393

Answer:

  4 mph

Step-by-step explanation:

The ratio of speeds upstream and down is inversely proportional to the ratio of times upstream and down. If we let c represent the speed of the current, the relation can be written ...

  (47 +c)/(47 -c) = 51/43

  43(47 +c) = 51(47 -c)

  94c = 8(47) . . . . . . . . . . . add 51c -43(47)

  c = 4 . . . . . divide by 94

The speed of the current is 4 miles per hour.

When making the first set a bracelet Rachel used 35% of the yarn the length of the yarn
used was 70 feet how much yarn was there to start

Answers

Answer:

i think you should ask the brain

Step-by-step explanation:

Answer:

200 feet

Step-by-step explanation:

Let the initial length of the yarn was x.

35% of x is 70 feet

0.35x = 70x = 70/0.35x = 200

A washer and a dryer cost $959 combined. The washer costs $59 more than the dryer. What is the cost of the dryer?

Answers

Answer:

A dryer costs $450.

A washer costs $509.

Step-by-step explanation:

Let:

"washer" = x

"dryer" = y

Set the equations:

x + y = 959

x = y + 59

First, plug in y + 59 for x in the first equation for x:

x + y = 959

(y + 59) + y = 959

Simplify, combine like terms:

y + y + 59 = 959

2y + 59 = 959

Next, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtractions.

First, subtract 59 from both sides of the equation:

2y + 59 (-59) = 959 (-59)

2y = 959 - 59

2y = 900

Next, divide 2 from both sides of the equation:

(2y)/2 = (900)/2

y = 900/2

y = 450

Next, plug in 450 for y in one of the equations:

x = y + 59

x = (450) + 59

x = 509

Check:

x + y = 959

450 + 509 = 959

959 = 959 (True).

~

Answer:

$450

Step-by-step explanation:

1. First, let's make a system of equations:

[tex]y+59=x,x+y=959[/tex] (y = dryer, x = washer)

2. (Solving)

Solve y + 59 = x for y:

[tex]y + 59 = x[/tex] [tex]y + 59-59=x-59[/tex] (Subtract 59 from both sides)[tex]y = x-59[/tex]

Substitute x - 59 for y in x + y = 959

[tex]x + y = 959[/tex] [tex]x+x-59=959[/tex] [tex]2x - 59 = 959[/tex] [tex]2x - 59 + 59 = 959 + 59[/tex] (Add 59 to both sides)[tex]2x = 1018[/tex] [tex]\frac{2x}{2} = \frac{1018}{2}[/tex] (divide both sides by 2)[tex]x = 509[/tex]

Substitute 509 for x in y = x - 59

[tex]y = x - 59[/tex] [tex]y = 509-59[/tex] [tex]y = 450[/tex]

Therefore, the dryer costs $450. (The washer costs $509).

How many solutions does this equation have?

9m + 8 - 3m = 4(m + 5)

Answers

Answer:

yyyg h ug guy Judy bg

Step-by-step explanation:

by HGTV byf g gu o

Exactly 1 solution

I took the test in k12 and this is the correct answer.

Good luck

A race car averages 3 1/4 miles per minute how far will this race car travel in 1 hour

Answers

Answer:

195 miles

Step-by-step explanation:

take 3.25 times 60, because there are 60 minutes in an hour

Evaluate 4 x^3 + 4x when x = 3

Answers

Answer:120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Given information:

• 4x³ + 4x

• x = 3

To evaluate the expression further, plug in the given variable and simplify:

4x³ + 4x          Replace x with 3.

4(3)³ + 4(3)      PEMDAS - put 3 to the 3rd power.

4(27) + 4(3)     Use the distributive property to get rid of the parentheses.

108 + 12          Add the two values.

120

The simplification of 4x³ + 4x when x = 3 is 120.

What is 11/12 divided by 1/3 PLEASE HURRY

Answers

Answer:

11/4 or 2 3/4

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