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?