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Probability - Statistics Binomial Questions

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(1) The probability that a house in an urban area will be burglarized is 5%. If 15 houses are randomly selected what is the probability that:

(A) Exactly 2 of the houses will be burglarized.
(B) Two or fewer houses will be burglarized.

(2) The mean monthly gasoline purchase for a family with 2 cars is 62 gallons. This statistic has a normal distribution with a standard deviation of 6 gallons. A family is chosen at random.

(A) Find the probability that the person's monthly gasoline (gallon) purchases will be between 50 and 67 gallons.
(B) Find the probability that the person's monthly gasoline (gallon) purchases will be less than 67 gallons.
(C) What is the probability that the person's monthly gasoline (gallon) purchases will be more than 50 gallons?

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Solution Summary

The solution answers two questions based on binomial probabilities.

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