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Consider the probability experiment of flipping a fair coin 6 times. Let X be the number of heads. The probability distribution is given in the following table:
X
P(X)
Frequency (f)
0
0.016
1
0.094
6
2
0.234
15
3
0.313
20
4
5
a. Draw the histogram.
b. Calculate 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?
Make your calculation supposing a two-sided two-sample t-test with a type I error (alpha) of 0.056
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