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Industry standards suggest that 9 percent of new vehicles require warranty service within the first year, Jones Nissan in Sumter, South Carolina, sold 10 nissans yesterday what's the probability that none of these vehicles requires warranty service?

Respuesta :

Answer:

so probability none of these vehicles requires warranty service  is 0.389416

Explanation:

given data

new vehicles require warranty service π  = 9 % = 0.09

sold nissan n = 10

solution

As we know here binomial probability formula that is

P(x) = [tex]_nC_x \ \pi ^x \ (1-\pi )^{n-x}[/tex]    ......................1

so we use here combination formula that is

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]    .................2

so probability none of these vehicles requires warranty service  is

P(0) =  [tex]_{10}C_0 \ \pi ^0 \ (1-\pi )^{10-0}[/tex]

P(0) = [tex]\frac{10!}{0!(10-0)!} (0.09^0) (1-0.09)^{10}[/tex]

P(0) = 0.389416

so probability none of these vehicles requires warranty service  is  0.389416

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