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Chapter 5: Q.40 (page 349)

Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

a. Graph the probability distribution

b. Identify the following values:

i. Lowest value forx炉=

ii. Highest value for localid="1648215651207" x炉=

iii. Height of the rectangle:

iv. Label for x-axis (words):

v. Label for y-axis (words):

Short Answer

Expert verified

a. The graph will be;

b.

b. Identify the following values:

i. Lowest value forx炉=0.5

ii. Highest value for x炉=9.5

iii. Height of the rectangle: role="math" localid="1648215909648" 19

iv. Label for x-axis (words):role="math" localid="1648216082037" 0.5<x<9.5

v. Label for y-axis (words):19

Step by step solution

01

Scenario  analysis

According to the given scenario;

The age of cars in staff parking lot of suburban college; those are considered to be uniformly distributed.

Let consider;

The age of the cars in suburban college is denoted with X, hence x can be considered as intervals.

Thus; =0.5<x<9.5

02

Probability Distribution Graph

Considering above scenario probability distribution function will be;

f(x)=1b-a=19.5-0.5=19

Thus the Probability distribution graph will be ;

03

Identification of values

b. Identify the following values:

i. Lowest value forx炉=0.5

ii. Highest value for x炉=9.5

iii. Height of the rectangle: role="math" localid="1648216112183" 19

iv. Label for x-axis (words):0.5<x<9.5

v. Label for y-axis (words):19

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