The probability that a randomly selected voter will answer "Yes" to a certain political question is 5/9. 720 voters are chosen at random, and each is asked the question. What is the probability that between 380 and 420 answer "Yes"? More than 360 answer "Yes"?

Answer should be, respectively:  .8664, .9987

3. A) Given that z is a standard normal random variable, compute the probability that it takes on a value between -2 and -1.

3. B). Given that z is a standard normal random variable, find the z-score for a situation where the area to the right of z is 0.0901.

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 390 babies were​born, and 312 of them were girls.

Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born.

Based on the​ result, does the method appear to be​ effective?

Suppose test scores in a nutrition class are normally distributed. What is the probability that a randomly selected student’s score is three standard deviations above the mean?

A.) Not enough information

B.) 0.9987

C.) 0.0013

D.) 0

E.) 0.0026

Two numbers are drawn, each in the range {0,1}. What is the probability that their sum is less than 1 while their product is greater than 1/5?

According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe​ people's habits as they sneeze. ​(​a) What is the probability that among 10 randomly observed individuals exactly 7 do not cover their mouth when​ sneezing? ​(​b) What is the probability that among 10 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing? ​(​c) Would you be surprised​ if, after observing 10 ​individuals, fewer than half covered their mouth when​ sneezing? Why?

The probability that a person who booked a flight will actually show up is 0.95. If the airline books 104 people on a flight for which the maximum capacity is 100, what is the probability that there will be enough seats for everyone who shows up? Round your answer to 3 decimal places.

One of two small restaurants is chosen at random with equally likely probability, and then an employee is chosen at random from the chosen restaurant. Restaurant #1 has 9 full-timers and 6 part-timers. Restaurant #2 has 7 full-timers and 9 part-timers. What is the probability that Restaurant #1 was chosen at random, given that a full-time employee was chosen? Your answers should be rounded to 4 digits after the decimal.

a)

b)

c)

d)

e)