Question

Toss a fair coin for three times and let X be the number of heads. (a)...

Toss a fair coin for three times and let X be the number of heads.

(a) (4 points) Write down the pmf of X. (hint: first list all the possible values that X can take, then calculate the probability for X taking each value.)

(b) (4 points) Write down the cdf of X.

(c) (2 points) What is the probability that at least 2 heads show up?

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Answer #1

The probability of getting a head in a single toss of a fair coin = 1/2 = 0.5

a) The probability mass function of X is

b) The cumulative distribution function of X is

Here,

c) The probability that at least 2 heads show up

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