Answer:
The expected value of playing the game is $0.75.
Step-by-step explanation:
The expected value of a random variable is the weighted average of the random variable.
The formula to compute the expected value of a random variable <em>X</em> is:

The random variable <em>X</em> in this case can be defined as the amount won in playing the game.
The probability distribution of <em>X</em> is as follows:
Number on spinner: 1 2 3 4 5 6
Amount earned (<em>X</em>): $1 $4 $7 $10 -$8.75 -$8.75
Probability: 1/6 1/6 1/6 1/6 1/6 1/6
Compute the expected value of <em>X</em> as follows:





Thus, the expected value of playing the game is $0.75.
Answer:
0.06
Step-by-step explanation:
Step-by-step explanation:
integral fx = gx, gx = fx
gx = -4x2
variable of x2 = replace to left side it mean we got minus when Variable replace to left it mean minus
Answer: r = -0.64
Step-by-step explanation:
The correlation coefficient is a measure of the strength of the linear relationship between two variables and is denoted by r. Values between 0.3 and 0.7 indicate a moderate positive (negative) linear relationship .
Values between -0.3 and -0.7 indicate a moderate negative linear relationship .
The only value of r in the option is r= -0.64 lies in given interval of moderate negative linear relationship .
Therefore, c is the right answer.