# Choose the correct option from the given alternative: If p.m.f. of a d.r.v. X is P (X = x) = (cx5)25 , for x = 0, 1, 2, 3, 4, 5 and = 0, otherwise If a = P (X ≤ 2) and b = P (X ≥ 3), then E (X ) = - Mathematics and Statistics

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Choose the correct option from the given alternative:

If p.m.f. of a d.r.v. X is P (X = x) = ((c_(x)^5 ))/2^5 , for x = 0, 1, 2, 3, 4, 5 and = 0, otherwise If a = P (X ≤ 2) and b = P (X ≥ 3), then E (X ) =

• a < b

• a > b

• a = b

• a + b

#### Solution

If p.m.f. of a d.r.v. X is P (X = x) = ((c_(x)^5 ))/2^5 , for x = 0, 1, 2, 3, 4, 5 and = 0, otherwise If a = P (X ≤ 2) and b = P (X ≥ 3), then E (X ) = a = b

Concept: Probability Distribution of Discrete Random Variables
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 7 Probability Distributions
Miscellaneous Exercise 1 | Q 5 | Page 242