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.