a) Suppose that a coin is tossed twice so that the sample space is S {HH, HT, TH, TT}. Let X represent the number of heads that can come up. With each sample point we can associate a number for X as shown in Table below. Sample Point НН HT TH TT 1 1 i) Find the probability function corresponding to the random variable X. Assuming that the coin is fair ii) Find the distribution function for the random variable X. iii) Obtain its graph.

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a) Suppose that a coin is tossed twice so that the sample space is S {HH, HT,
TH, TT}. Let X represent the number of heads that can come up. With
each sample point we can associate a number for X as shown in Table
below.
Sample Point
HH
HT
TH
TT
X
2
1
1
i) Find the probability function corresponding to the random variable X.
Assuming that the coin is fair
ii) Find the distribution function for the random variable X.
iii) Obtain its graph.
Transcribed Image Text:a) Suppose that a coin is tossed twice so that the sample space is S {HH, HT, TH, TT}. Let X represent the number of heads that can come up. With each sample point we can associate a number for X as shown in Table below. Sample Point HH HT TH TT X 2 1 1 i) Find the probability function corresponding to the random variable X. Assuming that the coin is fair ii) Find the distribution function for the random variable X. iii) Obtain its graph.
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