a) In a binomial distribution containing of 10 independent trials, probability of 1 and 2 successes are 0.3874205 and 0.937102respectively. Find the parameter p of the distribution. b) Suppose X is a binomial random variable with parameters of n=3 and p. If P(X= 1) = 0.3, P(X= 2) = 0.2 and P(X = 0) = 3P (X= 3). Find E(X).
a) In a binomial distribution containing of 10 independent trials, probability of 1 and 2 successes are 0.3874205 and 0.937102respectively. Find the parameter p of the distribution. b) Suppose X is a binomial random variable with parameters of n=3 and p. If P(X= 1) = 0.3, P(X= 2) = 0.2 and P(X = 0) = 3P (X= 3). Find E(X).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Q 3a
in a binomial distribution containing 10 independent trials the probability of 1 and 2 success are 0.268435 and0.30199 respectively. Find the parameter p of the distribution.

Transcribed Image Text:Q3
a) In a binomial distribution containing of 10 independent trials, probability of 1
and 2 successes are 0.3874205 and 0.937102respectively. Find the
parameter p of the distribution.
b) Suppose X is a binomial random variable with parameters of n=3 and p. If
P(X= 1) = 0.3, P(X= 2) = 0.2 and P(X= 0) = 3P (X = 3). Find E(X).
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