(1) The director of a health club conducted a survey and found that 23% of members used only the pool forworkouts. Based on this information, what is the probability that for a random sample of 10 members, 4used 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 of16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of thefollowing? Round your answers to four decimal places.a. All 16 reach the summitb. At least 10 reach the summitc. No more than 12 reach the summitd. From 9 to 12 reach the summit, including 9 and 12e. 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 isabout 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.ne3014NEW HCONNECT WSCAN OR TEXT YOUR NAM[336) 682-61SO WE CAN KNOW YOU'RE HEREATERHINGS1OHN 1:50

We have given that 23% of members used only the pool for workouts. The random variable X that is use…

Answered: (1) The director of a health club…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.