Currently, professional men's basketball players score an average of 18.2 points per game with a standard deviation of 4.5 point
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Answer:
4.4
Step-by-step explanation:
The sum of the probabilities of all possible outcomes is 1.
As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.
Create a probability distribution table for X, where X is the score on the loaded 8-sided die:
Add a product row and a totals column:
(The Product is row is the product of the <u>score on the die</u> and <u>its probability</u>).
The expected value (EV) is the sum of the product of each outcome and its probability.
Therefore, the expected value (EV) of this die is 44/10 = 4.4