Probability using discrete probability distribution.
Consider the probability experiment of flipping a fair coin 6 times. Let X is the number of heads. The probability distribution is given in the following table:
X

P(X)

Frequency (f)

0

0.016

1

1

0.094

6

2

0.234

15

3

0.313

20

4

0.234

15

5

0.094

6

6

0.016

1

a. sketch the histogram.
b. estimate the population mean and population standard deviation.
c. What is the probability of flipping a coin 6 times and getting exactly 3 heads?
d. What is the probability of flipping a coin 6 times and getting 4 or more heads?