183k views
15 votes
100 point to the first correct answer

Given the discrete random variable X: What is the probability distribution of X if X ~B(2, 5/17)?



User Logicalicy
by
8.2k points

1 Answer

3 votes

Answer:

X ~ B(n, p)

Given: X ~ B(2, 5/17)

⇒ n = 2

⇒ p = 5/17

Binomial distribution formula:


\sf P(X = x) = nC_x (1-p)^((n-x))p^x

As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):


\sf P(X = 0) = 2C0 ((12)/(17))^((2-0))((5)/(17))^0=(144)/(289)}


\sf P(X = 1) = 2C1 ((12)/(17))^((2-1))((5)/(17))^1=(120)/(289)}


\sf P(X = 2) = 2C2 ((12)/(17))^((2-2))((5)/(17))^2=(25)/(289)}

**Probability Distribution Table attached**

100 point to the first correct answer Given the discrete random variable X: What is-example-1
User Penguru
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories