Question

What is the expected value of X?

X 0 4 8 12 16
P 0.15 0.25 0.5 0.05 0.05

4.0

6.4

7.9

8.0

Answer 1

Option 2 - The expected value is 6.4.

Step-by-step explanation:

Given :

X|  0       4      8     12     16

P|  0.15 0.25 0.5  0.05  0.05

To find : What is the expected value of X?

Solution :

The expected value is $E(X)=\sum x_ip_i$

$E(X)=0\times 0.15+4\times 0.25+8\times 0.5+12\times 0.05+16\times 0.05$

$E(X)=0+1+4+0.6+0.8$

$E(X)=6.4$

The expected value is 6.4.

Therefore, option 2 is correct.

#Learn more

If P(E) = 0.05, then P(not E) =

(a)−0.05

(b)0.5

(c)0.9

(d)0.95

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