Question

4.  A fair coin is flipped 6 times.  

a.  what is the distribution of outcomes?

b.  what is the probability of getting 4 heads/2 two tails in six flips of a coin?  

Answer 1

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a.

We use the binomial distribution to get the distribution of x with a binomial distribution with p = .50, and n = 6 ( 6 rolls of dice). Outcome is getting a head ( tail will also be the same)

a. Distribution of outcomes
Number of Heads(x)	p(x)
0	0.01563
1	0.09375
2	0.23438
3	0.31250
4	0.23438
5	0.09375
6	0.01563

b.

As in the table, probability of 4 Heads , 2 Tails is 0.23438 ( highlighted in table p(x=4))

Answer: 0.23438