cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bullseye?

Answer:

A darts player practices throwing a dart at the bull’s eye on a dart board. Her probability of hitting the bull’s eye for each throw is 0.2.

(a) Find the probability that she is successful for the first time on the third throw:

The number F of unsuccessful throws till the first bull’s eye follows a geometric

distribution with probability of success q = 0.2 and probability of failure p = 0.8.

If the first bull’s eye is on the third throw, there must be two failures:

P(F = 2) = p

2

q = (0.8)2

(0.2) = 0.128.

(b) Find the probability that she will have at least three failures before her first

success.

We want the probability of F ≥ 3. This can be found in two ways:

P(F ≥ 3) = P(F = 3) + P(F = 4) + P(F = 5) + P(F = 6) + . . .

= p

3

q + p

4

q + p

5

q + p

6

q + . . . (geometric series with ratio p)

=

p

3

q

1 − p

=

(0.8)3

(0.2)

1 − 0.8

= (0.8)3 = 0.512.

Alternatively,

P(F ≥ 3) = 1 − (P(F = 0) + P(F = 1) + P(F = 2))

= 1 − (q + pq + p

2

q)

= 1 − (0.2)(1 + 0.8 + (0.8)2

)

= 1 − 0.488 = 0.512.

(c) How many throws on average will fail before she hits bull’s eye?

Since p = 0.8 and q = 0.2, the expected number of failures before the first success

is

E[F] = p

q

=

0.8

0.2

= 4.

PLEASE ANSWER REAL


Three salesmen working for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month

1 2 3
Salesman A 11 14 16
Salesman B 14 15 13
Salesman C 16 12 11

In which week(s), did Salesman C have a larger paycheck than both of the other salesmen? Select all that apply.

Week 3
None of the weeks.
Week 2
Week 1

Pleasr Help will mark brainly...! How are actual rocket launches similar to how balloon rockets and canister rockets launch?

srry i didnt mean to put math

if you reflect any shape across the x-axis and then rotate it 180 degrees about the origin, do you get the same result that you would if you reflect it across the y-axis and then rotate it 180 degress about the orgin? what does that mean?

HELP HELP HELP HELP HELP HELP HELP
pLeaSe

Which statement is true when 2.4 is placed in the blank?

7.2 ÷ ___ = 3
9.6 ÷ 0.4 = ___
14.4 ÷ ___ = 0.6
19.2 ÷ 0.8 = ___

Help Please.
.
.
.
.

This is due by today if you could please do question number 2 through 7!!!!!

A chef needs to increase the temperature of a food dish. She thinks she can do this by stacking another dish on top of it. She has three dishes to choose from for the top dish: A, B, and C. Which one of these dishes would make the food dish the warmest when placed on top of it? As part of your answer, explain how the energy and temperature of both the top dish and the food dish will change when the food dish warms up, and why.

PLEASE HELP!!!

Which expression shows the prime factorization of 100?




A 2 × 5 × 10
B 1010
C 10 × 10
D 22 × 52

write the phrase as an expression. Then evaluate when y=20.

3 less than the quotient of a number y and 4

Expression:

When y=20, the value of the expression is
.

What is 112 / 100 tell me asap

Help please! math question!! will give 20 points and brainliest!!

write an expression that is equal to -15.66 divided by 5.8 and the fine the quotient

Sandra has 28 fish in her water garden. Twenty-two of her fish are
goldfish and 6 are Japanese koi. Express the part of Sandra's fish that
are goldfish as a decimal. Round the decimal to the nearest hundredth.
a. 0.84 b. 0.21 c. 0.79 d. 0.73 Explain

LOOK AT PHOTO. PLEASE HELP!!

help me the images are posted

Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why.
A. Yes, she is correct.
B. No, the exponent should be positive 8.
C. No, she multiplied the exponents instead of adding them.
D. No, she multiplied the exponents instead of subtracting them.

Which of the following charts would best show the population percentages of different ethnic groups in one state?

scatter graph
tally chart
line graph
pie chart

help me look at the photo​

Which graph represents y as a function of x ?

It's due in one minute, but I have time :)

Bottles of water are on sale!
Did you get a good deal?

Solve this problem in your math notebook, and upload it to the assignment.

Sort the expressions listed at the right into the appropriate bins.
Quotient
Less Than 1.
Quotient
Equal to 1.
Quotient
Greater Than 1.

A toy store’s percent of markup is 30%. A model train costs the store $50. Find the markup.


$65

$35

$166.67

$15

A double line graph can compare the changes of two different things over a period of time. True or false

Addie has the high sales for two months: $3,400 and $2,600. She earns 14% commission. How much is her paycheck?

$840
$1,400
$5,200
$6,840

Step 8: Does the direction of the graphed line correspond to the sign of the calculated slope?
-Cannot determine, because the function is neither increasing nor decreasing.
-Yes, because the graph line points up and right and has a positive slope.
-No, because the graph line points down and right and has a positive slope.
-No, because the graph line points up and right and has a negative slope.
-Yes, because the graph line points down and right and has a negative slope.

Pls help me!! I don’t understand this

Question 3 (10 points)

if you reflect any shape across the x-axis and then rotate it 90 degrees clockwise about the origin, do you get the same results as if you reflect it across the y-axis and then rotate it 90 degress counterclockwise about the origin? what does this mean?