Question

If the mean of the probability distribution is 5, then the value of k is:

X	2	k	5
P(X)	0.2	0.4	0.6

• A. 1
• B. 2
• C. 4
• D. 3

Answer 1

The Correct Option is C

Given a probability distribution:

X	2	k	5
P(X)	0.2	0.4	0.6

If the mean of the distribution is 5, find the value of k.

The mean of a probability distribution is calculated as:

Mean = Σ[X * P(X)]

Substituting the given values:

5 = (2 * 0.2) + (k * 0.4) + (5 * 0.6)

5 = 0.4 + 0.4k + 3

5 = 3.4 + 0.4k

Simplifying this equation to solve for k:

5 - 3.4 = 0.4k

1.6 = 0.4k

k = 1.6 / 0.4

k = 4

Therefore, the value of k is 4.