Suppose you and a friend are playing a game that involves flipping a fair coin 3 times. Let x = the number of times that the coin shows heads. The probability distribution of X is shown in the table.
Number of Heads
0
1
2
3
Probability
0.125 0.375
0.375 0.125
The expected number of heads is
The standard deviation of the number of heads is
Round to three decimal places.
Done

correct answers below:

step-by-step :

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.