**Course **

### MATH 534 Applied Managerial Statistics

Week 2 Homework Problems

**Question:**If the occurrence or non occurrence of one event does not affect the occurrence or non occurrence of another event, the two events are ___________ .**Question:**In any statistical experiment if the occurrence of one event precludes the occurrence of the other events, the events of the experiment are called _______ .**Question:**In the experiment of a single roll of a 6-faced die, if the outcome “3 shows up” is … event A and the outcome “4 shows up” is … event B, then A and B are _________.**Question:**Fifty percent of all technical assistants would like to have a PC. Eighty percent of all technical assistants would like to have MAC. Fourty-five percent of all technical assistants would like to have both. If a technical assistant is randomly …, what is the probability that she would like to have a PC or a MAC?**Question:**Consider the following 3 x 4 contingency table in which a sample of 1400 companies is … in terms of the company’s industry type (X, Y, or Z) and geographic location (A, B, C, or D).**Question:**If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then .**Question:**An article titled” Pain and Pain … side effects in an ICU and on a surgical unit: Nurses’ Management” (American Journal of Critical Care, January 1994, Vol 3, No:1) gave the following table summarizing the study participants. (Note that ICU is an acronym for Intensive care unit. Given this person is a female, what is the probability that she is from ICU?**Question:**Consider the following 3 x 4 contingency table in which a sample of 1400 companies is … in terms of the company’s industry type (X, Y, or Z) and geographic location (A, B, C, or D). What is the probability P(B│Y)?**Question:**There is a 30% chance that the economy will be good next year and a 70% chance that it will be bad. If the economy is good, there is a 60% chance of a bull market, a 30% chance of a normal market, and a 10% chance of a bear market. If the economy is bad, there is a 15% chance of a bull market, 30% chance of a normal market, and a 55% chance of a bear market. What is the probability of having a good economy and a bull market?**Question:**There is a 30% chance that the economy will be good next year and a 70% chance that it will be bad. If the economy is good, there is a 60% chance of a bull market, a 30% chance of a normal market, and a 10% chance of a bear market. If the economy is bad, there is a 15% chance of a bull market, 30% chance of a normal market, and a 55% chance of a bear market. Given the market is a normal market next year, what is the probability that the economy is good?**Question:**In a sample of ten students randomly selected from your class, the height of student is ____________.**Question:**The average time of students spend on reading per day is ______.**Question:**Consider the following discrete random distribution.**Question:**What is the mean of the distribution?**Question:**Joe throws a die 4 times, what is the probability of him getting a number 1 at most once?**Question:**What is the mean of a binomial distribution in which the number of trials n = 100 and the probability of success p = 0.5?**Question:**A dealer in a casino has rolled a 6 on a single die four times in a row. What is the probability of his rolling another 6 on the next roll, assuming it is a fair die?**Question:**The expected number of defectives in samples of 200 units taken periodically from the output of a machine that has a 0.5% defective………..

**SOLUTION **

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