.  Using part b to guide you, use @RISK to find the probability that a random number from this distribution will be greater than 17. Check your answer by using the BINOM.DIST function appropriately in Excel. Prob (X > 17)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Use @RISK to draw a binomial distribution that results from 50 trials with probability of success 0.3 on each trial, and use it to answer the following questions. If needed, round your solutions to three decimal digits.

a.  What are the mean and standard deviation of this distribution?

Mean  
Standard Deviation  

b.  You have to be more careful in interpreting @RISK probabilities with a discrete distribution such as this binomial. For example, if you move the left slider to 11, you find a probability of 0.139 to the left of it. But is this the probability of "less than 11" or "less than or equal to 11"? One way to check is to use Excel's BINOM.DIST function. Use this function to interpret the 0.139 value from @RISK.

 = 0.139

c.  Using part b to guide you, use @RISK to find the probability that a random number from this distribution will be greater than 17. Check your answer by using the BINOM.DIST function appropriately in Excel.

Prob (X > 17) = 

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Follow-up Question

Use @RISK to draw a triangular distribution with parameters 200, 300, and 600. Then superimpose a normal distribution on this drawing, choosing the mean and standard deviation to match those from the triangular distribution. (Click the Add Overlay button and then choose the distribution to superimpose.)

a.  What are the 5th and 95th percentiles for these two distributions? If needed, round your solutions to one decimal digit.

  Distribution
Percentile Triangular Normal
5th        
95th        

 

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