# I need help with this question.Warranty records show that the probability that a new car needs a warranty repair in the first 90 days is 0.05.  If a sample of 3 new cars is selected:What is the probability that none needs a warranty repair? __________________What is the probability that at least one needs a warranty repair? _________________What is the probability that more than one needs a warranty repair? __________________

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I need help with this question.

Warranty records show that the probability that a new car needs a warranty repair in the first 90 days is 0.05.  If a sample of 3 new cars is selected:

1. What is the probability that none needs a warranty repair? __________________
2. What is the probability that at least one needs a warranty repair? _________________
3. What is the probability that more than one needs a warranty repair? __________________
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Step 1

The probability that none needs a warranty repair is obtained below:

Binomial distribution:

The probability mass function (pmf) of a binomial random variable X is given as:

Step 2

Calculating the probability value:

The random variable X follows binomial distribution. Here, n= 3, x= 0, and p=0.05. The required probability is as follows:

Step 3

The probability that at least one needs a warranty repair is o...

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