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(3) The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.

(3) The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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e. What is the expected number of climbers that will reach the summit? (3) The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding. (4) Consumer Reports rated airlines and found that 85% of the flights involved in the study arrived on time (that is, within 15 minutes of the scheduled arrival time). Consider a random sample of 200 flights. What is the probability that 175 flights will arrive on time? а. b. What is the expected number that will arrive on time? c. What does this value mean in the context of the problem? (5) The following information will also be used in the related discussion forum for this portion of the module. A realistic estimate for the probability of an engine failure on a transatlantic flight is 1/14000. Use this probability and the binomial probability formula or your calculator to find the probabilities of 0, 1, 2, and 3 engine failures for a three engine jet and the probabilities of 0, 1, and 2 engine failures for a two-engine jet. Carry all numbers to as many decimal places as your calculator will display. (You should have seven answers to this question when complete.)
Transcribed Image Text:e. What is the expected number of climbers that will reach the summit? (3) The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding. (4) Consumer Reports rated airlines and found that 85% of the flights involved in the study arrived on time (that is, within 15 minutes of the scheduled arrival time). Consider a random sample of 200 flights. What is the probability that 175 flights will arrive on time? а. b. What is the expected number that will arrive on time? c. What does this value mean in the context of the problem? (5) The following information will also be used in the related discussion forum for this portion of the module. A realistic estimate for the probability of an engine failure on a transatlantic flight is 1/14000. Use this probability and the binomial probability formula or your calculator to find the probabilities of 0, 1, 2, and 3 engine failures for a three engine jet and the probabilities of 0, 1, and 2 engine failures for a two-engine jet. Carry all numbers to as many decimal places as your calculator will display. (You should have seven answers to this question when complete.)
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