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Chapter 6: Q.6.71 (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.

Find the probability that it takes at least eight minutes to find a parking space.

a. 0.0001

b. 0.9270

c. 0.1862

d. 0.0668

Short Answer

Expert verified

The probability that it takes at least eight minutes to find a parking space0.0668that is option d.

Step by step solution

01

Step: Given information

Given in the question that

Mean=5

Standard deviation=2

02

Solution

Here,

渭=5

蟽=2

So, the required probability calculation is given below,

P(x鈮�8)=1鈭�P(x<8)

=1鈭�Px鈭�渭蟽<8鈭�渭蟽

=1鈭�PZ<8鈭�52

=1鈭�P(Z<1.5)

=1鈭�0.9332From standardnormal table

=0.0668

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Most popular questions from this chapter

About what percent of x values from a normal distribution lie within one standard deviation (left and right) of the mean of that distribution?

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

About what percent ofx values lie between the mean and three standard deviations?

A company manufactures rubber balls. The mean diameter of a ball is 12cmwith a standard deviation of 0.2 cm. Define the random variable Xin words. X=______________.

A bottle of water contains 12.05fluid ounces with a standard deviation of 0.01ounces. Define the random variable Xin words. X=____________.
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