Question: Denzel only made A's and B's on his last report card. His parents reward him for his grades of A in Math, Science, Social Studies

Denzel only made A's and B's on his last report card. His parents reward him for his grades of A in Math, Science, Social Studies and English according to the following:

  • If Denzel makes 4 A's he gets $30
  • If Denzel makes 3 A's he gets $20
  • If Denzel makes 2 A's he gets $5
  • If Denzel makes 1 A he gets $3

The probability that Denzel makes an A is 80% and the probability that he makes a B is 20%.

What is the expected value Denzel will earn for his report card?

Denzel only made A's and B's on his last report card. His parents reward him for his grades of A in Math, Science, Social Studies and English according to the following:

  • If Denzel makes 4 A's he gets $30
  • If Denzel makes 3 A's he gets $20
  • If Denzel makes 2 A's he gets $5
  • If Denzel makes 1 A he gets $3

The probability that Denzel makes an A is 80% and the probability that he makes a B is 20%.

What is the expected value Denzel will earn for his report card?

$14.50

$21.32

$22.15

$14.48

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