Hawkes Learning White Sands National tal/Lesson/lesson certily RAMI HAMMADI ® Sa

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Hawkes Learning White Sands National tal/Lesson/lesson certily RAMI HAMMADI ® Save & End Certify Lesson: 6.1 6.3 Discrete Random Variables Question 7 of 11, Step 1 of 2 Correct If you draw a card with a value of five or less from a standard deck of cards,I wil pay you $45. If not, you pay me $16. (Aces are considered the hijghest card in the deck.) Step 1 of 2: Find the expected value of the proposition. Round your answer to two decimal places, Losses must be expressed as negative values Tables Keypad Answer How to enter your answer Submit Answer ©201 7 Hakes Loaning 20 PM v12 Type here to search enovO

Explanation / Answer

Solution:- E(x) = 7.46

Number of card with value of 5 or less = 20

Total number of cards = 52

Probability of getting a card with value of 5 or less = 20/52 = 0.3846

Probability of not getting a card with value of 5 or less = 1- 0.3846 = 0.6154

E(x) = (0.3846 × 45) - (0.6154 × 16)

E(x) = 17.307 - 9.85

E(x) = 7.46

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