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Chapter 3: Q. 6 (page 106)

Who studies more? Researchers asked the students in a large first-year college class how many minutes they studied on a typical weeknight. The back-to-back stemplot displays the responses from random samples of 30women and 30 men from the class, rounded to the nearest 10minutes. Write a few sentences comparing the male and female distributions of study time.

Short Answer

Expert verified

The velocity of car isv=5m/s.

Step by step solution

01

Part (a): Step 1: Given Information

The distance travelled by car is given asd=6m.

02

Part (a): Step 2: Explanation

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03

Part (b): Step 1: Given Information

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04

Part (b): Step 2: Explanation

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Most popular questions from this chapter

A family decides to have children until it has three children of the same gender. Assuming P(B) = P(G) =\({\rm{.5}}\), what is the pmf of X = the number of children in the family?

A plan for an executive travellers鈥� club has been developed by an airline on the premise that \({\rm{10\% }}\) of its current customers would qualify for membership.

a. Assuming the validity of this premise, among \({\rm{25}}\) randomly selected current customers, what is the probability that between \({\rm{2}}\) and \({\rm{6}}\) (inclusive) qualify for membership?

b. Again assuming the validity of the premise, what are the expected number of customers who qualify and the standard deviation of the number who qualify in a random sample of \({\rm{100}}\) current customers?

c. Let \({\rm{X}}\) denote the number in a random sample of \({\rm{25}}\) current customers who qualify for membership. Consider rejecting the company鈥檚 premise in favour of the claim that \({\rm{p > 10}}\) if \({\rm{x}} \ge {\rm{7}}\). What is the probability that the company鈥檚 premise is rejected when it is actually valid?

d. Refer to the decision rule introduced in part (c). What is the probability that the company鈥檚 premise is not rejected even though \({\rm{p = }}{\rm{.20}}\) (i.e., \({\rm{20\% }}\) qualify)?

The probability that a randomly selected box of a certain type of cereal has a particular prize is \({\rm{.2}}\) . Suppose you purchase box after box until you have obtained two of these prizes.

a. What is the probability that you purchase \({\rm{x}}\) boxes that do not have the desired prize?

b. What is the probability that you purchase four boxes?

c. What is the probability that you purchase at most four boxes?

d. How many boxes without the desired prize do you expect to purchase? How many boxes do you expect to purchase?

Starting at a fixed time, each car entering an intersectionis observed to see whether it turns left (L), right (R), orgoes straight ahead (A). The experiment terminates assoon as a car is observed to turn left. Let X = the numberof cars observed. What are possible X values? List five outcomes and their associated X values.

Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table.

y

45

46

47

48

49

50

51

52

53

54

55

p(y)

.05

.10

.12

.14

.25

.17

.06

.05

.03

.02

.01

a. What is the probability that the flight will accommodateall ticketed passengers who show up?

b. What is the probability that not all ticketed passengerswho show up can be accommodated?

c. If you are the first person on the standby list (whichmeans you will be the first one to get on the plane ifthere are any seats available after all ticketed passengers have been accommodated), what is the probability that you will be able to take the flight? What is this probability if you are the third person on the standby list?
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