Question

The first and second probability terms of a binomial distribution are 0.0337 and 0.18, with n = 4 find P.

Answer 1

First probability term: P(x = 0) = 0.0337

ie., ⁴co p⁰ q^{4 – 0} = 0.0337

1. 1. q⁴ = 0.03337 → (1)

Second probability term : 

P(x = 1) = 0.18

i.e., 4c¹ p¹ q^{4 – 1} = 0.18.

4 p q³ = 0.18 → (2)

(2) ÷ (1)

= (1 – p) 1.3353

p = 1.3353 – 1.3353 p

p + 1.3353 p= 1.3353

2.3353 p= 1.3353

P = \(\frac{1.3353}{2.3353}\) = 0.5718