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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 library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday鈥檚 mail. In actuality, each one may arrive on Wednesday, Thursday, Friday, or Saturday. Suppose the two arrive independently of one another, and for each one\(P\left( {Wed.} \right) = 0.3\), \(P\left( {Thurs.} \right) = 0.4\), \(P\left( {Fri.} \right) = 0.2\), and\(P\left( {Sat.} \right) = 0.1\). Let Y = the number of days beyond Wednesday that it takes for both magazines to arrive (so possible Y values are 0, 1, 2, or 3). Compute the pmf of Y. (Hint: There are 16 possible outcomes; \(Y\left( {W,W} \right) = {\bf{0}}\),\(Y\left( {F,Th} \right) = 2\), and so on.)

If the sample space S is an infinite set, does this necessarily imply that any rv X defined from S will have an infinite set of possible values? If yes, say why. If no, give an example.

Compute the following binomial probabilities directly from the formula for \(b(x;n,p)\):

a. \(b(3;8,.35)\)

b. \(b(5;8,.6)\)

c. \(P(3 \le X \le 5)\) when \(n = 7\) and \(p = .6\)

d. \(P(1 \le X)\) when \(n = 9\) and \(p = .1\)

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?

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)?
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