Compute the expected age $\mu$ of a British nurse in 1851. Assume that the table below shows the age distribution of nurses in Great Britain in 1851. Round your answer to nearest hundredth. \[\begin{array} { | l | c | c | c | c | c | c | c | } \hline \text { Age range (yr) } & \mathbf { 2 0 } - \mathbf { 2 9 } & \mathbf { 3 0 } - \mathbf { 3 9 } & \mathbf { 4 0 } - \mathbf { 4 9 } & \mathbf { 5 0 } - \mathbf { 5 9 } & \mathbf { 6 0 - 6 9 } & \mathbf { 7 0 } - \mathbf { 7 9 } & \mathbf { 8 0 } + \\ \hline \text { Midpoint } ( x ) & 24.5 & 34.5 & 44.5 & 54.5 & 64.5 & 75.5 & 84.5 \\ \hline \text { Percent of nurses } & 5.6 \% & 9.8 \% & 19.4 \% & 29.2 \% & 25.1 \% & 9.1 \% & 1.8 \% \\ \hline \end{array}\]

A) 54.50 B) 59.50 C) 53.85 D) 53.88 E) 43.88 A) 54.50 B) 59.50 C) 53.85 D) 53.88 E) 43.88

Exam 6: The Binomial Probability Distribution and Related Topics

There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.40. Identify the type of histogram for the probability distribution.

(Multiple Choice)

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Question 21

Richard has been given a 7-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 7 questions, find the probability that he will answer all questions incorrectly. Round your answer to the nearest thousandth.

(Multiple Choice)

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Question 22

The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $3 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $31. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 723 cookies before the drawing. Lisa bought 25 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. How much did she effectively contribute to the hiking club?

(Multiple Choice)

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Question 23

There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution. P(r) 0 0.041 1 0.200 2 0.368 3 0.300 4 0.092

(Multiple Choice)

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Question 24

Richard has been given a 10-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 10 questions, find the probability that he will answer no more than 2 questions correctly. Round your answer to the nearest thousandth.

(Multiple Choice)

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Question 25

Richard has been given a 7-question multiple-choice quiz in his history class. Each question has three answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 7 questions, find the probability that he will answer at least 6 questions correctly. Round your answer to the nearest thousandth.

(Multiple Choice)

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Question 26

The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $1 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 32 cookies. What is the probability she will not win the dinner for two? Write your answer as a fraction in simplest form, if one exists.

(Multiple Choice)

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Question 27

Compute the expected age $\mu$ of a British nurse in 1851. Assume that the table below shows the age distribution of nurses in Great Britain in 1851. Round your answer to nearest hundredth. Age range (yr) - - - - - + Midpoint (x) 24.5 34.5 44.5 54.5 64.5 75.5 84.5 Percent of nurses 5.6\% 9.8\% 19.4\% 29.2\% 25.1\% 9.1\% 1.8\%

(Multiple Choice)

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Question 28

There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.35. Identify the type of histogram for the probability distribution.

(Multiple Choice)

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Question 29

Give an example of a discrete random variable.

(Multiple Choice)

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Question 30

Jim has a 5-year-old car in reasonably good condition. He wants to take out a $60,000 term (that is, accident benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an accident in the year in which it is x years old is as follows: Jim is applying to a car insurance company for his car insurance policy. If the car insurance company wants to make a profit of $800 above the expected total losses of $4179, how much should it charge for the policy? x= age 5 6 7 8 9 P (accident) 0.01182 0.01282 0.01386 0.01513 0.01602

(Multiple Choice)

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Question 31

There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.

(Multiple Choice)

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Question 32

Jim has a 5-year-old car in reasonably good condition. He wants to take out a $50,000 term (that is, accident benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an accident in the year in which it is x years old is as follows: Jim is applying to a car insurance company for his car insurance policy. The expected loss to the car insurance company for the 5th, 6th, 7th, 8th, and 9th years would be $595.50, $646.00, $698.00, $751.50 or $806.50 respectively. What would be the total expected loss to the car insurance company over the years 5 through 9? Round your answer to the nearest dollar. x= age 5 6 7 8 9 P (accident) 0.01191 0.01292 0.01396 0.01503 0.01613

(Multiple Choice)

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Question 33

The probability of a radar station detecting an enemy plane is 0.55 and the probability of not detecting an enemy plane is 0.45. If 5 stations are in use, what is the standard deviation? Round your answer to nearest hundredth.

(Multiple Choice)

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Question 34

Suppose that on the leeward side of the island of Oahu, in the small village of Nanakuli, about 30% of the residents are of Hawaiian ancestry. Let 1, 2, 3,… represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village of Nanakuli. Compute the probability for 2. Round your answer to the nearest ten thousandth. $n =$ $n \geq$

(Multiple Choice)

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Question 35

Richard has been given an 11-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. The success occurs if Richard answers a question correctly and the failure occurs if Richard is unable to answer a question correctly. Assuming that Richard guesses on all 11 questions, find the probability that he will answer all questions incorrectly. Round your answer to the nearest thousandth.

(Multiple Choice)

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Question 36

Richard has been given an 11-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. What is considered the success?

(Multiple Choice)

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Question 37

The Honolulu Advertiser stated that in Honolulu there was an average of 651 burglaries per 500,000 households in a given year. In the Kohola Drive neighborhood there are 317 homes. Let r be the number of homes that will be burglarized in a year. Compute the probability for . Round your answer to the nearest ten thousandth. $r = 3$

(Multiple Choice)

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Question 38

Showing 21 - 38 of 38

There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.40. Identify the type of histogram for the probability distribution.

There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution. P(r) 0 0.041 1 0.200 2 0.368 3 0.300 4 0.092

There are 6 radar stations and the probability of a single radar station detecting an enemy plane is 0.35. Identify the type of histogram for the probability distribution.

Give an example of a discrete random variable.

There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.

The probability of a radar station detecting an enemy plane is 0.55 and the probability of not detecting an enemy plane is 0.45. If 5 stations are in use, what is the standard deviation? Round your answer to nearest hundredth.

Richard has been given an 11-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. What is considered the success?

Getting Started

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Averages and Variation

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Elementary Probability Theory

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