Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.

Example Problems
A different product's reviews have the following distribution for star ratings T.
T12345
P(T)0.080.120.280.300.22


Find the indicated probability.
A factory records B, the number of defective bolts in a standard batch.
B01
?


Find the missing probability in the table.
A fair coin is tossed 12 times. Let be the number of tosses that land heads.
Write an expression that can be used to find
.
Goblins

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