10. The figure shows the counts of earned degrees for several colleges. The level of degree and the gender of the degree recipient were tracked. Use the table to answer the questions. Bachelor's Master's Professional Doctorate Total Female 542 128 26 18 714 Male 438 165 38 20 661 Total 980 293 64 38 1375 (a) What is the probability that a randomly chosen person received a Doctorate Degree? (b) What is the probability that a randomly chosen person P(Masters] Female) received a Master's Degree given that they are Female? (c) What is the probability that a randomly chosen person received a Professional Degree and is Male? (d) What is the probability that a randomly chosen person received a Professional Degree or is Male? D hp 12

Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 3.5 weeks. Suppose you would like to select a random sample of 55 unemployed individuals for a follow-up study. Use z-table. a. Show the sampling distribution of , the sample mean average for a sample of 55 unemployed individuals. E(7) σy = 18.5 (to 1 decimal) 4719 (to 4 decimals)

Consider the following data: - 4 - 3 - 1 P(X = x) 0.2 0.1 0.2 0.1 0.4 Step 4 of 5: Find the value of P(X > -2). Round your answer to one decimal place.

In one Introductory Statistics class, the probability that a student will pass the first test is 0.55. If the student passed the first test, the probability that they will pass the second test is 0.75. If they failed the first test, the probability that they will fail the second test is 0.7. a. Compute the probability that a student will fail the second test, given they passed the first test. b. Find the probability a randomly selected student will pass both tests. c. Find the probability that a randomly selected student will fail both tests. d. Find the probability that a randomly selected student will fail at least one of the tests.