Question

Consider the experiment of tossing a coin three times. How many experimental outcomes exist? ____ Let x denote the number of heads occurring on three coin tosses. Show the value the random variable would have for each of the experimental outcomes. Outcome Value of x (Head, Tail, Head) ____ (Head, Head, Head) ____ (Head, Tail, Tail) ____ (Tail, Head, Head) ____ (Tail, Head, Tail) ____ (Tail, Tail, Tail) ____ (Tail, Tail, Head) ____ (Head, Head, Tail) ____ Is this random variable discrete or continuous? _________________

Answer 1

a) 8 b) 1, 3, 1, 2,1,0,1,2 c) discrete random variable

Explanation:

a) possible outcomes: (Head, head, head), (head, head, tail), (head, tail, head), (head, tail, tail), (tail, head, head),(tail, head, tail), (tail, tail, head), (tail, tail, tail)

b) see the attachment. The table is to be filled with values of x

c) since the number of times head occurs is a discrete number, x is a discrete random variable