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Tom. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 75 inches, and a standard deviation of 16 inches. What is the probability that the mean annual precipitation during 64 randomly picked years will be less than 77.8 inches? A) 0.5808 B) 0.4192 C) 0.0808 D) 0.9192

Tom. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 75 inches, and a standard deviation of 16 inches. What is the probability that the mean annual precipitation during 64 randomly picked years will be less than 77.8 inches? A) 0.5808 B) 0.4192 C) 0.0808 D) 0.9192

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 1E: A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called...
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9) Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value? 9) $0.50 B) - $0.40 C) - $1.00 D) $0.00 Answer the question. 10) Suppose that voting in municipal elections is being studied and that the accompanying tables descri probability distribution for four randomly selected people, wherex is the number that voted in thel election. Is it unusual to find four voters among four randomly selected people? x|Px) 0 0.23 B. 10) 10.32 2 0.26 30.15 4 0.04 A) No 0 (5) 1(,32) +2=(26)+3=(15)+4*(04) 6(.23)-1632)+2(26) +3(15)+ 4(84)? IE O+.32+1.04(B)Yes 1.35+.64 Find the indicated probability. B. 11) A test consists of 10 true/fal se questions. To pass the test a student must answer at least 8 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? 11) A) 0.044 B 0.055 C) 0.011 D) 0.989 810,S Solve the problem. 12) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 75 inches, and a standard deviation of 16 inches. What isthe probability that the mean 12) 77.8-75 28 L4 annual precipitation during 64 randomly picked years will be less than 77.8 inches? A) 0.5808 B) 0.4192 C) 0.0808 D) 0.9192 16 Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 13) 13) A certain question on a test is answered correctly by 22% of the respondents. Estimatethe probability that among the next 150 responses there will be at most 40 correct answers. A) 0.8997 C) 0.0694 D) 0.1003 B) 0.9306 Use the normal distribution to approximate the desired probability. 14) 14) A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or moretimes by guessing? Does this probability seem to verify her claim? C) .0582 , yes D) .4418 , no B) .4418 , yes
Transcribed Image Text:9) Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500. What is your expected value? 9) $0.50 B) - $0.40 C) - $1.00 D) $0.00 Answer the question. 10) Suppose that voting in municipal elections is being studied and that the accompanying tables descri probability distribution for four randomly selected people, wherex is the number that voted in thel election. Is it unusual to find four voters among four randomly selected people? x|Px) 0 0.23 B. 10) 10.32 2 0.26 30.15 4 0.04 A) No 0 (5) 1(,32) +2=(26)+3=(15)+4*(04) 6(.23)-1632)+2(26) +3(15)+ 4(84)? IE O+.32+1.04(B)Yes 1.35+.64 Find the indicated probability. B. 11) A test consists of 10 true/fal se questions. To pass the test a student must answer at least 8 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? 11) A) 0.044 B 0.055 C) 0.011 D) 0.989 810,S Solve the problem. 12) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 75 inches, and a standard deviation of 16 inches. What isthe probability that the mean 12) 77.8-75 28 L4 annual precipitation during 64 randomly picked years will be less than 77.8 inches? A) 0.5808 B) 0.4192 C) 0.0808 D) 0.9192 16 Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 13) 13) A certain question on a test is answered correctly by 22% of the respondents. Estimatethe probability that among the next 150 responses there will be at most 40 correct answers. A) 0.8997 C) 0.0694 D) 0.1003 B) 0.9306 Use the normal distribution to approximate the desired probability. 14) 14) A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or moretimes by guessing? Does this probability seem to verify her claim? C) .0582 , yes D) .4418 , no B) .4418 , yes
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