For Problems #1 through #11, consider the following context: The state park police observed that 64% of post-pandemic visitors to Hope Rapids State Park still wore face masks when traversing the trails. A random sample of 25 visitors is collected. Let the random variable x represent the number of visitors to this state park still wearing masks post-pandemic.

#1:What is the expected number of state park visitors still wearing masks post-pandemic? [HINTS: The anticipated answer is a Counting Number; express it as such: # or ##]

QUESTION 2

#2:What is the expected number of state park visitors not wearing face masks post-pandemic? [HINTS: The anticipated answer is again a Counting Number; express it as such: # or ##]

QUESTION 3

#3: What is the population standard deviation for this random variable, x? [HINT: The anticipated answer should be formatted as #.#]

QUESTION 4

#4: What is the population variance, x? [HINT: The anticipated answer should be formatted as #.##]

QUESTION 5

#5:What is the probability that exactly 15state park visitors still wear masks post-pandemic?[HINTS: Express the answer rounded to four decimal places: 0.####]

QUESTION 6

#6:What is the probability that either15 or 16state park visitors still wear masks post-pandemic?[HINTS: Express the answer rounded to four decimal places: 0.####]

QUESTION 7

#7: What is the probability that at most ten state park visitors still wear masks post-pandemic?[HINTS:Express theanswer rounded to four decimal places: 0.####]

QUESTION 8

#8:What is the probability thatmore than 20state park visitors still wear masks post-pandemic?[HINTS:Express theanswer rounded to four decimal places: 0.####]

QUESTION 9

#9: What is the probability thatatleast 8 but no more than 21statepark visitors still wear masks post-pandemic?[HINTS:Express theanswer rounded to four decimal places: 0.####]

QUESTION 10

#10: What is the probability that more than 12but less than 19statepark visitors still wear masks post-pandemic?[HINTS:Express theanswer rounded to four decimal places: 0.####]