The move to online instruction that was forced on universities by COVID has introduced considerable uncertainty in demand for face to face instruction. A business school is trying to decide how many face to face sections of an introductory accounting course need to be offered in the coming semester, and has come up with the following probability distribution for demand. Number of students who will choose to attend in person (x) Prob(x) 200                           .10 250                           .20 300                           .40 350                           .15 400                           .15 a. Is this a valid probability distribution? Why or why not? b. What is the expected value and standard deviation of the number of students who will choose to attend in person? c. Would you say the distribution above obeys the empirical rule? Justify briefly either way. d. Regardless of whether you answered yes or no to (c), assume the empirical rule applies. If you were the accounting department chair, what range of values of x would you use to plan how many face-to-face sections to offer? Justify briefly.

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 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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The move to online instruction that was forced on universities by COVID has introduced
considerable uncertainty in demand for face to face instruction. A business school is trying to decide
how many face to face sections of an introductory accounting course need to be offered in the coming
semester, and has come up with the following probability distribution for demand.
Number of students who will choose to
attend in person (x) Prob(x)
200                           .10
250                           .20
300                           .40
350                           .15
400                           .15
a. Is this a valid probability distribution? Why or why not?
b. What is the expected value and standard deviation of the number of students who will choose to
attend in person?
c. Would you say the distribution above obeys the empirical rule? Justify briefly either way.
d. Regardless of whether you answered yes or no to (c), assume the empirical rule applies. If you
were the accounting department chair, what range of values of x would you use to plan how
many face-to-face sections to offer? Justify briefly.

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