Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U. S. National Park Service statistics, 46. 7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24. 3% of visitors entered through the Fall River park entrance, 6. 3% of visitors entered through the Grand Lake park entrance, and 22. 7% of visitors had no recorded point of entry to the park. † Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places. ) (a) What is the probability that at least 65 visitors had a recorded entry through the Beaver Meadows park entrance?
(b) What is the probability that at least 60 but less than 70 visitors had a recorded entry through the Beaver Meadows park entrance?
(c) What is the probability that fewer than 11 visitors had a recorded entry through the Grand Lake park entrance? (d) What is the probability that more than 40 visitors have no recorded point of entry?
