Showing 11 to 20 of 1914 Questions

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?
02 
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.
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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
01 
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
01 
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
012 
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.
02 
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
01 
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
00 
A batch of 25 injectionmolded parts contains 5 that have suffered excessive shrinkage. (a) If two parts are selected at random, and without replacement, what is the probability that the second part selected is one with excessive shrinkage? (b) If three parts are selected at random, and without replacement, what is the probability that
21037 
A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the first and second container selected is defective, respectively. (a) Are A and B independent events? (b) If the sampling were done with replacement, woul
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