Suppose a random variable K has the following distribution: k 2 4 6 8 P(k) 0.1 a b 0.4 1. Find the value of a and b if the mean of k equals 6. 2. What is the value of the cumulative distribution function at 6? 3. What is the value of standard deviation ?

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
Section13.3: Special Probability Density Functions
Problem 8E
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Suppose a random variable K has the following distribution:
k
2
4
6
8
P(k)
0.1
a
b
0.4
1. Find the value of a and b if the mean of k equals 6.
2. What is the value of the cumulative distribution function at 6?
3. What is the value of standard deviation ?
Transcribed Image Text:Suppose a random variable K has the following distribution: k 2 4 6 8 P(k) 0.1 a b 0.4 1. Find the value of a and b if the mean of k equals 6. 2. What is the value of the cumulative distribution function at 6? 3. What is the value of standard deviation ?
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