If X is a discrete uniform random variable ranging from 0 to 12,find P(X ≥ 10).
A)0.1126
B)0.1666
C)0.2308
D)0.2500

Question

Quizplus · Accepted Answer

Since X is a uniform random variable ranging from 0 to 12, each value in this range is equally likely to occur. Therefore, the probability of X being greater than or equal to 10 is equal to the number of values in the range that are greater than or equal to 10 divided by the total number of values in the range.

There are three values in the range 0 to 12 that are greater than or equal to 10: 10, 11, and 12. 
Total number of values in the range = 13 (0,1,2,3....12)

Therefore, P(X ≥ 10) = 3/13 = 0.2308.

Hence, the answer is choice C.

If X Is a Discrete Uniform Random Variable Ranging from 0