The following table represents the probability of the number of cars owned by a college student. Give your answer to at least 3 decimal places. x P(x) 0 0.49 1 0.35 2 0.13 3 0.03 a) Is this a valid discrete probability distribution?       b) Find the mean number of cars owned.   c) Find the standard deviation of the number of cars owned.  d) Find σ2 .

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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The following table represents the probability of the number of cars owned by a college student. Give your answer to at least 3 decimal places.

x P(x)
0 0.49
1 0.35
2 0.13
3 0.03

a) Is this a valid discrete probability distribution?      

b) Find the mean number of cars owned.  

c) Find the standard deviation of the number of cars owned. 

d) Find σ2 . 

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