Below is a probability distribution for a discrete random variable.   X P(X) 5 0.25 7 0.30 11 0.35 13 0.10   (a) Verify this is a probability distribution for a discrete random variable. (b)  Compute P(X=11). (c) Compute P(X≤7).

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 14E
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Below is a probability distribution for a discrete random variable.

 

X P(X)
5 0.25
7 0.30
11 0.35
13 0.10

 

(a) Verify this is a probability distribution for a discrete random variable.

(b)  Compute P(X=11).

(c) Compute P(X≤7).

(d) Compute the mean of the random variableX.  Do not use statistical features of your calculator.

(e) Compute the standard deviation of the random variable X.  Do not use statistical features of your calculator.

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