5. Going forward, let's define x as the average number of dots after forty rolls. a. What is the expected value of x? b. The standard deviation of x is 2.197. What is the standard error of X? 6. What is the probability of obtaining an average that is less than 4.25?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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5. Going forward, let's define x as the average number of dots after forty rolls.
a. What is the expected value of x?
b. The standard deviation of x is 2.197. What is the standard error of x?
6. What is the probability of obtaining an average that is less than 4.25?
Transcribed Image Text:5. Going forward, let's define x as the average number of dots after forty rolls. a. What is the expected value of x? b. The standard deviation of x is 2.197. What is the standard error of x? 6. What is the probability of obtaining an average that is less than 4.25?
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7. What is the probability of obtaining an average that is within 0.5 of the expected value?
Make a sketch to illustrate the probability.
8. Suppose that you increased the number of rolls to 100. You again calculate the probability
that the average is within 0.5 of the expected value. Is this probability less than or greater
than the probability you calculated in question 7? Why? (Try to answer without doing any
calculations.)
Transcribed Image Text:7. What is the probability of obtaining an average that is within 0.5 of the expected value? Make a sketch to illustrate the probability. 8. Suppose that you increased the number of rolls to 100. You again calculate the probability that the average is within 0.5 of the expected value. Is this probability less than or greater than the probability you calculated in question 7? Why? (Try to answer without doing any calculations.)
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