Let X be a binomial random variable with p=0.3 and

Joslyn Reese

Joslyn Reese

Answered question

2022-02-11

Let X be a binomial random variable with p=0.3 and n=15
What is P(5X10)?

Answer & Explanation

diascordicm5

diascordicm5

Beginner2022-02-12Added 10 answers

Step 1
The binomial distribution for B(n, p) for a random variable X is
P(X=k)=(nk)pk(1p)nk
Here,
B(15, 0.3)
Therefore,
P(5X10)=k=510(15k)pk(1p)15k
From the tables,
P(5X10)=P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)
=0.2061+0.1472+0.0811+0.0348+0.0116+0.0030
=0.4838

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