Binomial Distribution
Suppose a basketball player is trying to put the ball into the basket. She tries 6 times. Assume
that the trial are independent.
Suppose the probability of putting the ball into the basket in a single attempt is 0.35
a) What is the probability of failing to put the ball into the basket in the first attempt?
ANS: 0.65
b) Find the probability of throwing the ball into the basket successfully in both 1st and 2nd
attempt.
ANS: 0.1225
c) Find the probability of putting the ball into the basket successfully in 2 out of the first
3 attempts.
Let’s consider all 6 trials. Let X be the random variable. X = number of successes in 6
trials
Here, we call X as binomial random variable
We write it as:
