The next two problems utilize the information in the following paragraph. Suppose there are two types of Penn State Sports fans: Rabid (R), and Casual (C). These fans ne (H). Suppose 20% of Penn State fans are both either view a big game in Person (P) or at Home (H). Casual and watch the games at Home. If a fan watches at Home, the probability that he/she is Casual is 90%. Finally, suppose 25% of fans are Rabid. 13. Then, what is the probability of a fan watching the game at Home? a. . 162 b. .172 C . .222 d. .472 .652 14. If a fan views the game in person, what is the probability that he/she is Rabid? a. .140 b. .175 C . .201 d. .265 e. .295 15. Suppose that amongst all high schoolers, the number of text messages sent per month follows a normal distribution with mean 250 and standard deviation of 80. The probability that a randomly chosen high schooler will be between 170 and 290 is approximately: a. 1533 b . .567 C. .579 d. e. .634 16. You are interested in estimating the average amount of turkey consumed by Americans in a year. In a random sample of 25 individuals, you find the average to be 12.0248 lbs, with a sample variance of 9. What is the p-value for a two-tailed hypothesis test where the null is that the true population value is 1 1lbs. a. .01 b. .02 C. .05 . .10 e . .20