Solve each of the following problems completely. Show all your solutions. 1. R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of five Americans is selected, find these probabilities. a. Exactly 2 people will agree with that statement. b. At most 3 people will agree with that statement. c. At least 2 people will agree with that statement. d. Fewer than 3 people will agree with that statement.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Solve each of the following problems completely. Show all your solutions.
1. R. H. Bruskin Associates Market Research found that 40% of Americans do not think
that having a college education is important to succeed in the business world. If a
random sample of five Americans is selected, find these probabilities.
a. Exactly 2 people will agree with that statement.
b. At most 3 people will agree with that statement.
c. At least 2 people will agree with that statement.
d. Fewer than 3 people will agree with that statement.
2. Twenty-six percent of couples who plan to marry this year are planning destination
weddings. In a random sample of 12 couples who plan to marry, find the probability
that
a. Exactly 6 couples will have a destination wedding
b. At least 6 couples will have a destination wedding
c. Fewer than 5 couples will have a destination wedding
3. A student takes a 20-question, true/false exam and guesses on each question. Find the
probability of passing if the lowest passing grade is 15 correct out of 20. Would you
consider this event likely to occur? Explain your answer.
4. Eighty-five percent of Americans favor spending government money to develop
alternative sources of fuel for automobiles. For a random sample of 120 Americans,
find the mean, variance, and standard deviation for the number who favor government
spending for alternative fuels.
5. Thirty-two percent of adult Internet users have purchased products or services online.
For a random sample of 200 adult Internet users, find the mean, variance, and standard
deviation for the number who have purchased goods or services online.
Transcribed Image Text:6:17 AM 13 Lets Check 1 (2).pdf ©UM College of Arts and Sciences Education General Education - Mathematics 2nd Floor, DPT Building, Matina Campus, Davao City Phone No.: (082)300-5456/305-0647 Local 134 The University of Mindanao Let's Check Solve each of the following problems completely. Show all your solutions. 1. R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of five Americans is selected, find these probabilities. a. Exactly 2 people will agree with that statement. b. At most 3 people will agree with that statement. c. At least 2 people will agree with that statement. d. Fewer than 3 people will agree with that statement. 2. Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a random sample of 12 couples who plan to marry, find the probability that a. Exactly 6 couples will have a destination wedding b. At least 6 couples will have a destination wedding c. Fewer than 5 couples will have a destination wedding 3. A student takes a 20-question, true/false exam and guesses on each question. Find the probability of passing if the lowest passing grade is 15 correct out of 20. Would you consider this event likely to occur? Explain your answer. 4. Eighty-five percent of Americans favor spending government money to develop alternative sources of fuel for automobiles. For a random sample of 120 Americans, find the mean, variance, and standard deviation for the number who favor government spending for alternative fuels. 5. Thirty-two percent of adult Internet users have purchased products or services online. For a random sample of 200 adult Internet users, find the mean, variance, and standard deviation for the number who have purchased goods or services online.
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