Question

In: Statistics and Probability

Industry standards suggest that 9 percent of new vehicles require warranty service within the first year....

Industry standards suggest that 9 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter, South Carolina, sold 11 Nissans yesterday. ( Round your mean answer to 2 decimal places and the other answers to 4 decimal places)

What is the probability that none of these vehicles requires warranty service?

What is the probability exactly one of these vehicles requires warranty service?

Determine the probability that exactly two if these vehicles require warranty service.

Compute the mean and standard deviation of this probability distribution.

Expert Solution

ANSWER:

(OR) TRY THIS FOR BETTER UNDERSTANDING

a) Probability that none of these vehicles requires warranty service is computed here as:

= (1 - 0.09)¹¹

= 0.3544

Therefore 0.3544 is the required probability here.

b) Probability that exactly one of these vehicles requires warranty service is computed as:

= 11*(1 - 0.09)¹⁰*0.09

= 0.3855

Therefore 0.3855 is the required probability here.

c) Probability that exactly two of them require warranty service

Therefore 0.1906 is the required probability here.

d) The mean and standard deviation here are computed as:

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orchestra answered 2 years ago

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