i need help for a-d. Can you explain how you get the answers please?

1. [1/4 Points] DETAILS BBBASICSTAT8 7.6.013.MI.S. MY NOTES ASK YOUR TEACHER PREVIOUS ANSWERS In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Do you take the free samples offered in supermarkets? About 58% of all customers will take free samples. Furthermore, of those who take the free samples, about 41% will buy what they have sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offering free samples, 301 customers passed by your counter. (Round your answers to four decimal places.) LA USE SALT (a) What is the probability that more than 180 will take your free sample? 0.7545 X (b) What is the probability that fewer than 200 will take your free sample? 0.9982 (c) What is the probability that a customer will take a free sample and buy the product? Hint: Use the multiplication rule for dependent events. Notice that we are given the conditional probability P(buy | sample) = 0.41, while P(sample) = 0.58. 0.2436 1X (d).What is.the probability that between 60 and 80 customers will take the free sample and buy the product? Hint: Use the probability of success calculated in part (c). EX Enter a number