Question 7 Let X have a binomial distribution with n = 5 and p = 0.5. Find the probability that X is greater than 3. Enter your final answer to four decimals. Do not round intermediate steps.

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Question 7
Let X have a binomial distribution with n = 5 and p = 0.5. Find the probability that X is
greater than 3. Enter your final answer to four decimals. Do not round intermediate
steps.
Question 8
An insurance company believes the probability that owners of a certain type of car
are involved in an accident in the next year is equal to 0.05. The company sells
policies to insure 12 of these cars for a year for at most 1 accident. You may assume
all 12 policies are independent.
What is the expected number of accidents in the year?
Question 9
An insurance company believes the probability that owners of a certain type of car
are involved in an accident in the next year is equal to 0.05. The company sells
policies to insure 12 of these cars for a year for at most 1 accident. You may assume
all 12 policies are independent.
What is the variance of the number of accidents in the year?
Transcribed Image Text:Question 7 Let X have a binomial distribution with n = 5 and p = 0.5. Find the probability that X is greater than 3. Enter your final answer to four decimals. Do not round intermediate steps. Question 8 An insurance company believes the probability that owners of a certain type of car are involved in an accident in the next year is equal to 0.05. The company sells policies to insure 12 of these cars for a year for at most 1 accident. You may assume all 12 policies are independent. What is the expected number of accidents in the year? Question 9 An insurance company believes the probability that owners of a certain type of car are involved in an accident in the next year is equal to 0.05. The company sells policies to insure 12 of these cars for a year for at most 1 accident. You may assume all 12 policies are independent. What is the variance of the number of accidents in the year?
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