Anyone know how to do these problem? I need help with questions 1 through 8!!

Chapter 4 Review Homework: 1. Suppose the random variable X is drawn from a population with mean fifty and standard devia- tion three. Is the sampling distribution of the sample mean for a sample of size twenty known or unknown? If known, what is it? 2. Suppose X ~ Bin(26, 0.5). Further suppose a researcher is interested in calculating the probability that a majority of the trials are a success. Can the researcher calculate the probability in terms of the sample proportion or must he solve it in terms of the random variable X? 3. Fifty-one percent of adults in the United States whose New Year's resolution was to exercise more achieved their resolution. Suppose a random sample of sixty-five American adults whose New Year's resolution was to exercise more is chosen. What is the probability that a majority of them achieved their resolution? 4. Fifteen percent of adults in the United States do not make New Year's resolutions. Suppose a ran- dom sample of sixteen American adults is chosen. What is the probability that a majority of them do not make New Year's resolutions? 5. The time in seconds that it takes a Baylor student to jog from the Student Union Building to the Student Life Center is distributed as a Normal random variable with mean ninety-five seconds and standard deviation of fifteen seconds. a. What is the probability that a student runs to the Student Life Center in at most two minutes? b. What is the time, in seconds, at which the fastest 20% of students will have completed the run? c. Suppose fifteen students decide to race from the Student Union Building to the Student Life Center. What is the probability that the average time it takes the students to get to the Student Life Center exceeds 100 seconds? d. Suppose fifteen students decide to race from the Student Union Building to the Student Life Center. What is the probability that the average time it takes the students to get to the Student Life Center exceeds 150 seconds? 6. Suppose that 21% of men in the United States consider fishing their favorite leisure-time activity. A random sample of ten men is selected. What is the probability that at least 20% of them will say that fishing is their favorite leisure-time activity? 7. The incubation period for the eggs of a house wren is normally distributed with a mean of 336 hours and a standard deviation of 3.5 hours. a. Find the probability that an egg has an incubation period between 328 and 338 hours. b. Suppose a researcher has fifteen house wren eggs in an incubator. Find the probability that the average incubation time for the fifteen eggs is greater than 337 hours. C. Suppose it is known that 33% of House Wren eggs never hatch. Suppose an ornithologist has forty house wren eggs. Find the probability that less than 25% never hatch. 8. Suppose the average GPA for students nationwide that are enrolled in only online courses is 3.10 with standard deviation 0.30. What is the probability that a random sample of forty nine students that are enrolled in only online courses has an average GPA greater than 3.20