The following table shows the probability distribution for the prize amounts that will be awarded at a school raffle. Prize $1 $5 $10 $20 $50 Probability 0.60 0.30 0.05 0.04 0.01 Let the random variable P represent a randomly selected prize amount. What is the expected value of P ? $1.00 A $3.90 B $4.00 C $10.00 D $17.20

This question is based on the concept of probability. Therefore, the correct option is A , $3.90 is the expected value of P.

Given:

Prize                 $1          $5            $10            $20              $50

Probability     0.60      0.30         0.05           0.04              0.01

We need to determined the the expected value of P.

According to question,

By using the definition of expected value of probability.

The expected value is defined as the the sum of each outcome is multiplied by its probability.

Therefore, the formula of expected value,

Therefore, the correct option is A, i.e. $ 3.90 is the expected value of P.

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$3.90

Step-by-step explanation:

The expected value is the sum of each outcome multiplied by its probability.

E(P) = (1)(0.60) + (5)(0.30) + (10)(0.05) + (20)(0.04) + (50)(0.01)

E(P) = 3.9

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is