What is 0.63 divided by 0.18

Answer:

a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.

b) 0.762 = 76.2% probability that at least three people arrive during a particular hour

c) 2 people.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Poisson process with a rate parameter of four per hour.

This means that [tex]\mu = 4[/tex].

(a) What is the probability that exactly three arrivals occur during a particular hour?

This is P(X = 3). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.195[/tex]

0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.

(b) What is the probability that at least three people arrive during a particular hour?

Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So

[tex]P(X < 3) + P(X \geq 3) = 1[/tex]

We want [tex]P(X \geq 3) = 1 - P(X < 3)[/tex], in which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.018[/tex]

[tex]P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.073[/tex]

[tex]P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147[/tex]

So

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.238 = 0.762[/tex]

0.762 = 76.2% probability that at least three people arrive during a particular hour.

c) How many people do you expect to arrive during a 30-min period?

One hour, 4 people

Half an hour = 30 min = 4/2 = 2 people.

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.

x=±3x=±3

The final answer is the combination of both solutions.

x=3,−3x=3,-3

Answer:

.

Step-by-step explanation:

Answer:

it's just 8/20 so shade 8/20 of the circle

Answer:

5

Step-by-step explanation:

Q is asking how many (1/3)s are in (15/8):

(15/8) / (1/3)

(to divide fractions, flip the second fraction over and then multiply)

(15/8) * (3/1)

(15 * 3) / (8*1)

45/8

=5.625

Answer:0.36

Step-by-step explanation:

Given

Probability of a free throw =0.6

It is given that the two throws are independent of each other

So, the Probability of making two consecutive throws

[tex]P=\text{Probability of first throw}\times \text{Probability of second throw}\\P=0.6\times 0.6=0.36[/tex]

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

Answer:

x = -31 /4

Step-by-step explanation:

3x - 24 = 7x + 7

-24 = 4x + 7

-31 = 4x

x = -31/4

Answer:

3x + 19y is the answer

Answer:

event horizon

Step-by-step explanation:

Answer:D you can tell it’s much wider and it’s not at a 90 degree or less

Step-by-step explanation:

Answer:

45.24

Step-by-step explanation:

Percentage Calculator: 38 is what percent of 84? = 45.24.

Answer:

45%

Step-by-step explanation:

84÷100=0.84

38÷0.84=45.24 rounded that is 45%

Answer:

a volleyball team with 9 wins and 6 losses

Step-by-step explanation:

Jim’s soccer team has a record of 12 wins and 8 losses.Hence when divded

the answer is 1.5 or the same as 3/2 .Hence all we need need to do is find the

answer that is the same as 1.5.

Hence the answer is B a volleyball team with 9 and 6 losses.I know it's right because whenever 9 and 6 divdied they make 1.5.hence this answer is right

Answer:

$7.89

Step-by-step explanation:

Given that Miguel spends $12.88 on 2 comic books then the amount spent on 1 book given that the prices of the books are equal will be

= $12.88/2

= $6.44

Given that  the store reduced the price of each comic book by $1.45 then the price P of 1 comic book before the sale

P = $6.44 + $1.45

= $7.89

The cost of 1 comic book before the sale ( which is before the reduction in price) is  $7.89

Answer:

75:25:100

Step-by-step explanation:

step 1= 3+1+4=8

step 2= 200/8=25

step 3= 25 x 3=75

25 x 1= 25

25 x 4=100

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer: Do you have a picture?

Answer:?

Step-by-step explanation: 10-20 degrees

Answer:

b. No, the probability of getting the broken tape measure changes as there is no replacement.

Step-by-step explanation:

For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.

However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer

awnser 1.100

awnser 2.-10

awnser 3.0

awnser 4.0

Answer:

1 ==> C

2 ==> A

3 ==> B

hope this helps! lmk if you have any questions about my answer

Answer:

176 ounces :)

Step-by-step explanation:

Answer:

x  =  40/ 33

40 ÷ 33 = 1.21 (21 repeating)

The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]

since the decimal number is 1.21

So, here if we divide the 40 by 33 so it comes 1.21

Therefore, we can conclude that The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]

Learn more about fraction here: https://brainly.com/question/12405736

Answer:

y = |x+5|-7

Step-by-step explanation:

y = |x| is the parent function with vertex (0,0) so to get to (-5,-7) you need to move left 5 and move down 7