Question

The cumulative probability distribution for the number of chocolate on a single mini-cookie is given below:

Number of Chocolate Chips (xi)	P(X≤xi)
0	0.05
1	0.30
2	0.70
3	0.95
4	1.00

1.

What is the probability that a randomly chosen cookie will contain exactly two chocolate chips? Include 2 decimal places in your answer.

2.

What is the probability that a randomly chosen cookie will contain fewer than three chocolate chips? Include 2 decimal places in your answer.

3.

What is the expected number of chocolate chips per cookie? Include 1 decimal place in your answer.

4.

What is the variance? Include 2 decimal places in your answer.

Answer 1

1. The probability that a randomly chosen cookie will contain exactly two chocolate chips

2. The probability that a randomly chosen cookie will contain fewer than three chocolate chips

3. Here,

The probability mass function of X is