MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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(1) The director of a health club conducted a survey and found that 23% of members used only the pool for
workouts. Based on this information, what is the probability that for a random sample of 10 members, 4
used only the pool for workouts? Round your answer to four decimal places.
(2) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of
16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the
following? Round your answers to four decimal places.
a. All 16 reach the summit
b. At least 10 reach the summit
c. No more than 12 reach the summit
d. From 9 to 12 reach the summit, including 9 and 12
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.
ne
30
14
NEW H
CONNECT W
SCAN OR TEXT YOUR NAM
[336) 682-61
SO WE CAN KNOW YOU'RE HE
REATER
HINGS
1OHN 1:50
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Transcribed Image Text:(1) The director of a health club conducted a survey and found that 23% of members used only the pool for workouts. Based on this information, what is the probability that for a random sample of 10 members, 4 used only the pool for workouts? Round your answer to four decimal places. (2) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following? Round your answers to four decimal places. a. All 16 reach the summit b. At least 10 reach the summit c. No more than 12 reach the summit d. From 9 to 12 reach the summit, including 9 and 12 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. ne 30 14 NEW H CONNECT W SCAN OR TEXT YOUR NAM [336) 682-61 SO WE CAN KNOW YOU'RE HE REATER HINGS 1OHN 1:50
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