Find probability that exactly 5 rats have recessive traits

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1. Suppose 7% of construction workers have been exposed to asbestos. We randomly sample 4 construction workers (assume they are independent). Use the Binomial probability function, with n = 4 and p = .07, to find the probability that:

a. exactly two of the workers have been exposed to asbestos

b. at least one of the workers has been exposed to asbestos (use the complement law)

2. Suppose 25% of rats have recessive traits. We take a random sample of 16 rats. Use the Binomial table to answer the following.

a. Find the probability that exactly 5 rats have recessive traits.

b. Find the probability that no more than 9 rats have recessive traits.

c. Find the probability that at least 5 rats have recessive traits.

d. Find the probability that between 4 and 10 rats, inclusive, have recessive traits.

e. Suppose we observe that 2 of the 16 rats have recessive traits. Would you consider this an unusually low number? Calculate a probability to justify your answer.

Reference no: EM13324870

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