# Solve the following problem : Let X ∼ B(10,0.2). Find P(X ≥1) - Mathematics and Statistics

Sum

Solve the following problem :

Let X ∼ B(10,0.2). Find P(X ≥1)

#### Solution

X ~ B(10, 0.2) …[Given]
∴ n = 10, p = 0.2
∴ q = 1 – p = 1 – 0.2 = 0.8
The p.m.f. of X is given by
P(X = x) = ""^10"C"_x (0.2)^x (0.8)^(10 - x), x = 0, 1,...,10
P(X ≥1) = 1 – P(X < 1) = 1 – P(X = 0)
= 1 - ""^10"C"_0 (0.2)^0 (0.8)^10
= 1 – (0.8)10.

Concept: Mean of Binomial Distribution (P.M.F.)
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Part II | Q 1.01 | Page 156