Question

In: Statistics and Probability

The following table provides a probability distribution for the random variable y. y f(y) 2 0.10...

The following table provides a probability distribution for the random variable y.

y f(y)

2 0.10

4 0.20

7 0.40

9 0.30

a. Compute E(y) (to 1 decimal).

b. Compute Var(y) and ? (to 2 decimals). Var(y) ?

Expert Solution

Solution:

Given that,

y P(y) Y P ( y ) Y² P ( y )

2 0.10 0 .20 0.40

4 0.20 0.80 3.20

7 0.40 2.80 19.60

9 0.30 2.70 24.30

1 6.50 47.50

a ) Mean = = x P (x ) = 6.50

b ) Standard daviation = = x² P (x ) - ( )²

= 47.50 - ( 6.50 )²

= 47.50 - 42.25

= 5.25

= 2.29

orchestra answered 2 years ago

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