Suppose a certain experiment yields a binomial distribution with n = 64 trials and a probability of success of p = 0.409. What is the probability of observing at most 27 successes out of the 64 trials? Round your answer to three decimal places; add trailing zeros as needed.

The probability of observing at most 27 successes out of 64 trials is [ProbAtMost27].

Question 3

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan for each shipment is to randomly select and test 58 tablets, then accept the entire shipment if there are one or fewer tablets that don’t meet the required specifications. If one shipment of 6,000 aspirin tablets actually has a 4% rate of defects (that is, 4% of the pills will fail the acceptance test), what is the probability that the entire shipment will be accepted? Round your answer to three decimal places; add trailing zeros as needed.

The probability that the entire shipment will be accepted is [ProbAccept].

Question 4

According to a recent poll, 39% of U.S. voters approve of the President’s job performance. Suppose that 50 U.S. voters are selected at random for a follow-up survey. Of those 50, what are the mean, variance, and standard deviation of the number of voters who approve of the President’s job performance? Round your answers to one decimal place; add a trailing zero as needed.

The mean number of voters who approve of the President’s job performance is .

The variance of the number of voters who approve of the President’s job performance is .

The standard deviation of the number of voters who approve of the President’s job performance is .

Question 5

Based on the results of the previous problem, what numbers of voters who approve of the President’s job performance would be a significantly low? What numbers would be significantly high? Use the probability method. Enter your answers as integers.

According to the Probability Method, out of the 50 voters surveyed, or fewer voters who approve would be significantly low and or more would be significantly high.