1) An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight, but most of them had satisfactory weight. What is the probability of selecting three packages that are satisfactory?
Answer: P(all 3 satisfactory) = (0.9) (0.9) (0.9) = 0.729
2) A study of interior designers ' opinions with respect to the most desirable primary color for executive offices showed that: What is the probability that a designer does not prefer blue?
Answer: Total is 400. So, P(prefer Blue) = 37/400 = 0.0925 P( not prefer Blue) = 1 – P (prefer Blue) = 1 – 0.0925 = 0.9075.
3) In a survey of employee satisfaction, the following table summarizes the results in terms of employee satisfaction and gender. a) What is the probability that an employee is Female and Dissatisfied? Answer: 0.22
b) What is the probability that an employee is Male or Dissatisfied?
Answer: P(M or D) = P(M) + P(D) – P(M&D) = 0.60 + 0.55 – 0.33 = 0.82
c) What is the probability that an employee is Satisfied given that the employee is Male?
Answer: Total male= 27 +33 = 60 out of 100. P(S |M) = 27/60 = 0.45
4) In a study of student preference of energy drinks, the researcher has identified a population of 10 students. To get a quick result, the researcher will select a sample of 2 students. How many different samples are possible? Answer: Using the combination formula ;
Chapter 6
1) The probabilities and the number of automobiles lined up at a Lakeside Olds at opening time (7:30 a.m.) for service are a) On a typical day, how many automobiles should Lakeside Olds expect to be lined up at opening? Answer: = 1(0.05) + 2(0.3) + 3(0.4) + 4(0.25) = 2.85
3) Carlson Jewelers permits the return of their diamond wedding rings, provided the return occurs within two weeks of