Learning Materials
Features
Discover
Chapter 3: Q.3-53E (page 193)
For two events, A and B, P(A)= .4, P(B)= .2 , and :
a. Find P (A/B).
b. Find P(B/A).
c. Are A and B independent events?
Answer
Over 30 million students worldwide already upgrade their learning with 魅影直播!
All the tools & learning materials you need for study success - in one app.
Get started for free
A pair of fair dice is tossed. Define the following events:
A: [Exactly one of the dice shows a 1.]
B: [The sum of the numbers on the two dice is even.]
a. Identify the sample points in the events
b. Find the probabilities of all the events from part a by summing the probabilities of the appropriate sample points.
C. Using your result from part b, explain why A and B are not mutually exclusive.
d. Find using the additive rule. Is your answer the same as in part b?
Patient medical instruction sheets. Physicians and pharmacists sometimes fail to inform patients adequately about the proper application of prescription drugs and about the precautions to take in order to avoid potential side effects. One method of increasing patients鈥� awareness of the problem is for physicians to provide patient medication instruction (PMI) sheets. The American Medical Association, however, has found that only 20% of the doctors who prescribe drugs frequently distribute PMI sheets to their patients. Assume that 20% of all patients receive the PMI sheet with their prescriptions and that 12% receive the PMI sheet and are hospitalized because of a drug-related problem. What is the probability that a person will be hospitalized for a drug-related problem given that the person received the PMI sheet?
Museum management. Refer to the Museum Management and Curatorship (June 2010) study of the criteria used to evaluate museum performance, Exercise 2.14 (p. 74). Recall that the managers of 30 leading museums of contemporary art were asked to provide the performance measure used most often. A summary of the results is reproduced in the table. Performance Measure Number of Museums Total visitors 8 Paying visitors 5 Big shows 6 Funds raised 7 Members 4
Performance Measure | Number of Museums |
Total visitors | 8 |
Paying visitors | 5 |
Big shows | 6 |
Funds raised | 7 |
Members | 4 |
a. If one of the 30 museums is selected at random, what is the probability that the museum uses total visitors or funds raised most often as a performance measure?
b. Consider two museums of contemporary art randomly selected from all such museums. Of interest is whether or not the museums use total visitors or funds raised most often as a performance measure. Use a tree diagram to aid in listing the sample points for this problem.
c. Assign reasonable probabilities to the sample points of part b.
d. Refer to parts b and c. Find the probability that both museums use total visitors or funds raised most often as a performance measure.
Male nannies. In a survey conducted by the International Nanny Association (INA) and reported on the INA Web site (www.nanny.org), 4,176 nannies were placed in a job in a given year. Only 24 of the nannies placed were men. Find the probability that a randomly selected nanny placed during the last year is a male nanny (a 鈥渕annie鈥�).
Suppose the events and are mutually exclusive and complementary events, such thatand Consider another event A such that role="math" localid="1658212959871" , role="math" localid="1658213029408" .
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
魅影直播 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine