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Chapter 6: Q.96 (page 430)

Easy-start mower Refer to Exercise 92 .

a. Calculate and interpret the mean of T.

b. Calculate and interpret the standard deviation of T.

Short Answer

Expert verified

(a)The computed value of mean shows that on an average out of 30,24 passengers will have the mower starting.

(b)The total number of times that mower starts will vary by 1.6432times in comparison of mean of 27 times.

Step by step solution

01

Part (a) Step 1: Given Information.

Given,

Number of trials (n)=30

Probability of success (p)=0.90

Formula used:

The mean and standard deviation are calculated using the following formula:

Mean (渭)=n脳p

Standard deviation (蟽)=n脳p脳(1-p)

02

Part (a) Step 2: Simplification

The mean of T can be calculated as:

渭=n脳p=30(0.90)=27

Thus, the mean is 6 .

Interpretation:

The computed value of mean shows that on an average out of 30,24 passengers will have the mower starting.

03

Part (b) Step 1: Given information

Number of trials is 30

Probability of success is 0.90

04

Part (b) Step 2: Simplification

The standard deviation of R can be calculated as:

蟽=n脳p脳(1-p)=30(0.90)(1-0.90)=1.6432

In comparison to the mean of 27 times, the total number of times the mower starts will vary by 1.6432 times.

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