Question

Using the Binomial distribution,If n=10 and p=0.2, find P(x=7)

Answer 1

Step-by-step explanation:

Determine whether this table represents a probability distribution.

x P(x)

0 0.2

1 0.05

2 0.2

3 0.55

No, it is not a probability distribution

Yes, it is a probability distribution

Answer 2

Answer: P(x = 7) = 0.00079

Step-by-step explanation:

The formula for calculating binomial probability is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n = number of trials

x = number o successes

p = probability of success

q = probability of failure = 1 - p

From the information given,

n = 10

p = 0.2

q = 1 - 0.2 = 0.8

x = 7

Thus,

P(x = 7) = 10C7 * 0.2^7 * 0.8^(10 - 7)

P(x = 7) = 0.00079