Showing 11 to 20 of 2040 Questions

A lot of 100 semiconductor chips contains 20 that are defective. (a) Two are selected, at random, without replacement, from the lot. Determine the probability that the second chip selected is defective. (b) Three are selected, at random, without replacement, from the lot. Determine the probability that all are defective.
0788 
24 The distribution of National Honor Society members among the students at a local high school is shown in the table. A student’s name is drawn at random. (a) What is the probability that the student is a junior? (b) What is the probability that the student is a senior, given that the student is in the National Honor Society?
04 
2n balls are chosen at random from a total of 2n red balls and 2n blue balls. Find a combinatorial expression for the probability that the chosen balls are equally divided in colour. Use Stirling’s formula to estimate this probability. Using Binomial Probabilities, compare the exact value with Stirling’s approximation for n = 20.
0346 
427 different adult women were randomly selected and asked what they purchase online, and 162 of the women said that they purchase clothes online (based on a survey by the Consumer Reports Research Center). a. If 2 of the surveyed women are randomly selected without replacement, what is the probability that they both chose the category of
04 
A 2011 Mintel report on coffeehouses asked consumers if they were spending more time in coffeehouses. The table below gives the responses classified by age: a) What is the probability that a randomly selected respondent is spending more time at coffeehouses and donut shops this year than last year? b) What is the probability that the pers
03 
A 50question true–false examination is given. Each correct answer is worth 10 points. Consider an unprepared student who randomly guesses on each question.a. If no points are deducted for incorrect answers, what is the probability that the student will score at least 350 points?b. If 5 points are deducted for each incorrect answer, wha
016 
A bag of 100 tulip bulbs purchased from a nursery contains 40 red tulip bulbs, 35 yellow tulip bulbs, and 25 purple tulip bulbs. (a) What is the probability that a randomly selected tulip bulb is red? (b) What is the probability that a randomly selected tulip bulb is purple? (c) Interpret these two probabilities.
04 
A bag of 30 tulip bulbs purchased from a nursery contains 12 red tulip bulbs, 10 yellow tulip bulbs, and 8 purple tulip bulbs. Use a tree diagram like the one in Example 5 to answer the following: (a) What is the probability that two randomly selected tulip bulbs are both red? (b) What is the probability that the ﬁrst bulb selected is r
03 
A balanced die is thrown once. If a 4 appears, a ball is drawn from urn 1; otherwise, a ball is drawn from Urn 2. Urn 1 contains four red, three white, and three black balls. Urn 2 contains six red and four white balls. a. Find the probability that a red ball is drawn. b. Find the probability that urn 1 was used given that a red ball w
01 
A bank loan officer knows that 12% of the bank's mortgage holders lose their jobs and default on the loan in the course of 5 years. She also knows that 20% of the bank's mortgage holders lose their jobs during this period. Given that one of her mortgage holders just lost his job, what is the probability that he will now default on the loa
00
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