Question

on a popular fictional game show, contestants are given the opportunity to win money by reaching into a bag after being blindfolded and selecting a chip with a dollar amount written on it. assume all chips are identical. the bag contains four chips with a $0 amount, six chips with $1, five chips with $5, two chips with $10, and one chip with $100. the chips are mixed in the bag before the contestant draws their chip. a. construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game. b. what is the expected value for x?

Answer 1

Construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game is 1/18.

What is a probability math example?

• Probability is the measurement of how likely something is to happen.
• As an example, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.
• We write P(heads) = 12 here. The four most popular approaches to probability are axiomatic, classical, empirical, and subjective.

from above total number of chips =4+6+5+2+1 =18

hence Probabilty of win 0 P(0)=4/18

P(1) =6/18

P(5) =5/18

P(10) =2/18

P(100)=1/18

x     P(x)     xP(x)

0    0.22     0.00

1     0.33      0.33

5     0.28       1.39

10      0.11       1.11

100     0.06      5.56

                       8.39

therefore expeted value =8.39

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