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Chapter 6: Q.6.72 (page 390)

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.

Seventy percent of the time, it takes more than how many minutes to find a parking space?

a. 1.24

b. 2.41

c. 3.95

d. 6.05

Short Answer

Expert verified

The answer is option c

That is seventy percent of the time, it takes more than 3.95minutes to find a parking space.

Step by step solution

01

Given information

Given in the question that

Mean=5

Standard deviation =2

k=required time

02

Solution

The calculation is show below,

P(x>k)=0.70

Px鈭�渭蟽>k鈭�渭蟽=0.70

PZ>k鈭�52=0.70

PZ<k鈭�52=1鈭�0.70

PZ<k鈭�52=0.30

k鈭�52=鈭�0.5244

From the standard normal table the value of z will be (鈭�0.5244)

k鈭�5=鈭�0.5244脳2

k=鈭�1.0488+5

=3.9512

鈮�3.95

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Most popular questions from this chapter

In the 1992 presidential election, Alaska鈥檚 40 election districts averaged 1,956.8 votes per district for President Clinton.

The standard deviation was 572.3. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district.

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