Questions from Statistics Principles


Q: An urn contains 4 red and 6 green balls. One ball

An urn contains 4 red and 6 green balls. One ball is drawn at random and its color is observed. The ball is then returned to the urn, and 3 new balls of the same color are added to the urn. A second b...

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Q: It is somewhat surprising to learn the probability that 2 persons in

It is somewhat surprising to learn the probability that 2 persons in a class share the same birthday. As an approximation, assume that the 365 days are equally likely birthdays. (a) What is the probab...

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Q: The Wimbledon men 's tennis championship ends when one player wins three

The Wimbledon men 's tennis championship ends when one player wins three sets. (a) How many elementary outcomes end in three sets? In four? (b) If the players are evenly matched, what is the probabi...

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Q: There are four tickets numbered 1, 2, 3, and

There are four tickets numbered 1, 2, 3, and 4. Suppose a two-digit number will be formed by first drawing one ticket at random and then drawing a second ticket at random from the remaining three. (Fo...

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Q: To compare two varieties of wheat, say, a and b

To compare two varieties of wheat, say, a and b, a field trial will be conducted on four square plots located in two rows and two columns. Each variety will be planted on two of these plots. (a) List...

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Q: Refer to Exercise 4.102. Instead of a completely random

Refer to Exercise 4.102. Instead of a completely random choice, suppose a plot is chosen at random from each row and assigned to variety a. Find the probability that the plots receiving a are in the s...

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Q: Chevalier de Mere, a French nobleman of the seventeenth century,

Chevalier de Mere, a French nobleman of the seventeenth century, reasoned that in a single throw of a fair die, P ( 1 ) = 1/6, so in two throws, P ( l appears at least once ) = 1/6 + 1/6 = 1/3. What i...

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Q: Does the uniform model apply to the following observations? Explain.

Does the uniform model apply to the following observations? Explain. (a) Day of week on which the most persons depart by airplane from Chicago. (b) Day of week on which the monthly low temperature o...

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Q: A three-digit number is formed by arranging the digits 2

A three-digit number is formed by arranging the digits 2, 4, and 5 in a random order. (a) List the sample space. (b) Find the probability of getting a number less than 400. (c) What is the probabil...

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Q: In checking the conditions of a used car, let A denote

In checking the conditions of a used car, let A denote the event that the car has a faulty transmission, B the event that it has faulty brakes, and C the event that it has a faulty exhaust system. Des...

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