Assistance for AMU MATH 120 Intro to statistics quiz 4 answers week 4-a American Military University is available at Domyclass

Table of Contents

#### MATH 120 AMU QUIZ 4 question 1

Consider the probability distribution shown below.

x 0 1 2

P(x) 0.45 0.50 0.05

Compute the expected value of the distribution. (Enter a number.)

Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)

#### MATH 120 AMU QUIZ 4 question 2

question A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.

x 0 1 2 3 4 or more

% 43% 35% 15% 6% 1%

(a) Convert the percentages to probabilities and make a histogram of the probability distribution. (Select the correct graph.)

A histogram with 5 bars is given. The horizontal axis is labeled: x. The vertical axis is labeled: P(x). The leftmost bar is centered on the value 0 and is 0.43 units tall. Moving to the right, the second bar is centered on the value 1 and is 0.35 units tall. The third bar is centered on the value 2 and is 0.06 units tall. The fourth bar is centered on the value 3 and is 0.15 units tall. The fifth bar is centered on the value 4, with the label “4 or more”, and is 0.01 units tall.

A histogram with 5 bars is given. The horizontal axis is labeled: x. The vertical axis is labeled: P(x). The leftmost bar is centered on the value 0 and is 0.43 units tall. Moving to the right, the second bar is centered on the value 1 and is 0.15 units tall. The third bar is centered on the value 2 and is 0.35 units tall. The fourth bar is centered on the value 3 and is 0.06 units tall. The fifth bar is centered on the value 4, with the label “4 or more”, and is 0.01 units tall.

A histogram with 5 bars is given. The horizontal axis is labeled: x. The vertical axis is labeled: P(x). The leftmost bar is centered on the value 0 and is 0.43 units tall. Moving to the right, the second bar is centered on the value 1 and is 0.06 units tall. The third bar is centered on the value 2 and is 0.15 units tall. The fourth bar is centered on the value 3 and is 0.35 units tall. The fifth bar is centered on the value 4, with the label “4 or more”, and is 0.01 units tall.

A histogram with 5 bars is given. The horizontal axis is labeled: x. The vertical axis is labeled: P(x). The leftmost bar is centered on the value 0 and is 0.43 units tall. Moving to the right, the second bar is centered on the value 1 and is 0.35 units tall. The third bar is centered on the value 2 and is 0.15 units tall. The fourth bar is centered on the value 3 and is 0.06 units tall. The fifth bar is centered on the value 4, with the label “4 or more”, and is 0.01 units tall.

(b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)

(c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)

(d) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to two decimal places.)

μ =

fish

(e) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to three decimal places.)

σ =

fish

#### MATH 120 AMU QUIZ 4 question 3

question Sociologists say that 85% of married women claim that their husband’s mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that twelve married women are having coffee together one morning. Find the following probabilities. (For each answer, enter a number. Round your answers to three decimal places.)

(a) All of them dislike their mother-in-law.

(b) None of them dislike their mother-in-law.

(c) At least ten of them dislike their mother-in-law.

(d) No more than nine of them dislike their mother-in-law.

#### MATH 120 AMU QUIZ 4 question 4

question The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of twelve syringes taken from the batch. Suppose the batch contains 5% defective syringes.

(a) Make a histogram showing the probabilities of r = 0, 1, 2, 3, …, 11 and 12 defective syringes in a random sample of twelve syringes. (Select the correct graph.)

A histogram with 8 visible bars is given. The horizontal axis is labeled: r. The vertical axis is labeled: P(r). The leftmost bar is centered on the value 0 and is approximately 0.14 units tall. Moving to the right, the second bar is centered on the value 1 and is approximately 0.30 units tall. The third bar is centered on the value 2 and is approximately 0.29 units tall. The fourth bar is centered on the value 3 and is approximately 0.17 units tall. The fifth bar is centered on the value 4 and is approximately 0.07 units tall. The sixth bar is centered on the value 5 and is approximately 0.02 units tall. The seventh bar is centered on the value 6 is very close to 0 units tall. The eighth bar is centered on the value 7 is very close to 0 units tall. The values 8, 9, 10, 11, 12, are also labeled on the horizontal axis. There are no visible bars over these labels.

A histogram with 5 visible bars is given. The horizontal axis is labeled: r. The vertical axis is labeled: P(r). The leftmost bar is centered on the value 0 and is approximately 0.54 units tall. Moving to the right, the second bar is centered on the value 1 and is approximately 0.34 units tall. The third bar is centered on the value 2 and is approximately 0.10 units tall. The fourth bar is centered on the value 3 and is approximately 0.02 units tall. The fifth bar is centered on the value 4 is very close to 0 units tall. The values 5, 6, 7, 8, 9, 10, 11, 12, are also labeled on the horizontal axis. There are no visible bars over these labels.

A histogram with 9 visible bars is given. The horizontal axis is labeled: r. The vertical axis is labeled: P(r). The leftmost bar is centered on the value 0 and is approximately 0.07 units tall. Moving to the right, the second bar is centered on the value 1 and is approximately 0.21 units tall. The third bar is centered on the value 2 and is approximately 0.28 units tall. The fourth bar is centered on the value 3 and is approximately 0.24 units tall. The fifth bar is centered on the value 4 and is approximately 0.13 units tall. The sixth bar is centered on the value 5 and is approximately 0.05 units tall. The seventh bar is centered on the value 6 and is approximately 0.02 units tall. The eighth bar is centered on the value 7 is very close to 0 units tall. The ninth bar is centered on the value 8 is very close to 0 units tall. The values 9, 10, 11, 12, are also labeled on the horizontal axis. There are no visible bars over these labels.

A histogram with 6 visible bars is given. The horizontal axis is labeled: r. The vertical axis is labeled: P(r). The leftmost bar is centered on the value 0 and is approximately 0.28 units tall. Moving to the right, the second bar is centered on the value 1 and is approximately 0.38 units tall. The third bar is centered on the value 2 and is approximately 0.23 units tall. The fourth bar is centered on the value 3 and is approximately 0.09 units tall. The fifth bar is centered on the value 4 and is approximately 0.02 units tall. The sixth bar is centered on the value 5 is very close to 0 units tall. The values 6, 7, 8, 9, 10, 11, 12, are also labeled on the horizontal axis. There are no visible bars over these labels.

(b) Find μ (in terms of the number of syringes). (Enter a number. Enter your answer to two decimal places.)

μ =

syringes

What is the expected number of defective syringes the inspector will find? (Enter a number. Enter your answer to two decimal places.)

syringes

(c) What is the probability that the batch will be accepted? (Enter a number. Round your answer to three decimal places.)

(d) Find σ (in terms of the number of syringes). (Enter a number. Round your answer to three decimal places.)

σ =

syringes