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Question

Mathematics Question on Probability Distribution

The random variable X has a probability distribution P(X) of the following form, where k is some number.

P(X=x){kif x=0 2kif  x=1 3kif  x=2 0otherwiseP(X=x) \begin{cases} k & \quad \text{if } x=0\\\ 2k & \quad \text{if } \text{ x=1}\\\ 3k & \quad \text{if } \text{ x=2} \\\ 0 & \quad \text{otherwise} \end{cases}

Then P(x≤2) is:

A

0

B

1

C

16\frac{1}{6}

D

12\frac{1}{2}

Answer

1

Explanation

Solution

The correct option is (B):1