Question

a fair coin is flipped three times. Describe the corresponding sample space that is, list al the possible outcomes. Use the information from question 1 to construct the probability distribution observing the number of heads by completing the table below X(#of heads) Pr(X)(as a fraction) Pr(X) (as a decimal) Pr(X) (as a %) Construct a relative frequency histogram for the above distribution and describe its shape.

Answer 1

Sample space rightarrow { HHH, TTT, HHT, HTH, TTH, THT, THH, HTT} Size = 8 P(X = 0) = 1/8 = 12.5% P(x = 1) = 3/8 = 37.5% P(X = 2) = 3/8 = 37.5% P(X = 2) = 3/8 = 37.5% P(X = 3 = 1/8 = 12.5%)