SAS 5 - probability distributions

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Stonehill College *

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206

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Business

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Feb 20, 2024

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docx

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Uploaded by CoachBadger3993

BUS 206 – Quantitative Analysis SAS Assignment 5 Wait! Before completing this assignment, read Ch. 6 (Sec 6.4, 6.5) and Ch 7 (Sec 7.1-7.3) and watch the relevant SAS videos on calculating Binomial, Poisson, and Normal Probability Distributions (videos 8 and 9). 1. The average number of customers that enters Ace’s Place at the library is 6 per hour (Hint: use the Poisson_Probability sasprog tool in SAS). a. What is the probability that exactly 8 customers will enter in an hour? b. What is the probability that 4 or fewer customers will enter in an hour? c. What is the probability that more than 10 customers will enter in an hour? 2. A nurse has been assigned to care for 20 patients on a trauma unit. The probability that a patient will need assistance is .24 (Hint: use the Binomial_Probability sasprog tool in SAS). a. What is the probability that exactly 6 patients will need assistance? b. What is the probability that less than 12 patients will need assistance? c. What is the probability that 9 or more patients will need assistance? d. What is the probability that more than half of the patients will need assistance? 3. The following questions are based on the CARS data set in the SASHELP library. a. Calculate the mean and standard deviation for the following variables that are considered to be normally distributed (Hint: use Summary Statistics in SAS).  Horsepower  MPG_Highway  Weight  Length b. Find the probability that a vehicle has greater than 300 horsepower (Hint: use the Normal_Probability sasprog tool in SAS).

c. Find the probability that a vehicle has a MPG_Highway less than 21. d. Find the probability that a vehicle has a weight between 3500 and 4300. e. Find the probability that a vehicle has a lenght between 158 and 214.

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SAS 5 - probability distributions

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