Question

Your sister is playing basketball. She makes 4 tosses to a lowered basketball hoop, and whether the ball goes in each time is independent of the other trials. Her chance of making the basket on a trial is 60%. For each j with 0 ≤ j ≤ 4, what is the probability that she makes exactly j baskets?

Answer 1

This question can be answered using the binomial distribution.

Let J be the number of baskets made.

Then

Where

Now we just need to input the values in the above equation to find probability of exactly j baskets:\

j	P(J=j)
0	0.0256
1	0.1536
2	0.3456
3	0.3456
4	0.1296

These are the required probabilities.

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