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?

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

Step-by-step 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

correct

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: