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ID: 3302708 • Letter: I

Question

in Remaining Time: 2 hours, 18 minutes, 51 seconds v Question Completion Status: Moving to another question wil save this response. His aestion 8 of 1021.8 Question8 1 points Save Answer Solve the problem. A discrete random variable x can assume five possible values: 2,3,5, 8, 10. ts probability distribution is shown below. Find the probability that the random variable x is a value greater than 5 x|2 35 8 10 O 0.30 0.60 0.70 040 Moving to another question will save this response. Question 8 of 10 >

Explanation / Answer

The random variable 'X' can take values 2,3,5,8 and 10.

Out of these, values greater than 5 are just 8 and 10.

So, P(X > 5) = P(X = 8) + P(X = 10)

And from the given data, we know that P(X = 8) = 0.3 and P(X = 10) = 0.1.

So, P(X > 5) = 0.3 + 0.1

= 0.4
So, last option (0.40) is correct.

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