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Quantitative Analysis for Management - Probability

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Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1000 employees were involved in some type of exercise.

a. What is the probability that an employee will have a cold next year?

b. Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year?

c. What is the probability that an employee who is not involved in an exercise program will get a cold next year?

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Solution Summary

Brief calculations are given to find the probabilities of employees of a Northern Manufacturing Company coming down with the flu.

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a. What is the probability that an employee will have a cold next year?

There are 1000 employees and 200 had colds during the year. So, the probability that an employee will have a cold next year is

p=200/1000=0.20

b. Given that an employee is involved in an exercise program, what is the probability that he ...

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Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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