Question

Kayla is a basketball player who makes 50 of her 2 point shots and 20 of her 3 point shots find Kayla expected value for a 2 point shot

Answer 1

Kayla's expected value for a 2- point shot is 1 point.

What is expected value?

The expected value, also known as expectation, expectancy, arithmetical expectation, mean, average, first or moment, is a generalization of the weighted average in the field of probability theory. Informally, the estimation is the arithmetic mean of a significant number of values of a random variable that were independently chosen. A weighted average of all potential outcomes constitutes the expected value of the a random variable with such a finite number of outcomes. When there is a continuum of potential outcomes, integration defines the expectation. The expectation is provided by Lebesgue integration in the measure theory-based axiomatic foundation for probability.

Sol- The expected value is calcuated using the formula:

EV= x.P(x)

where x is the weight/value of the event, and P(x) is the probability of the event occurring.

For a 2-point shot, we have:

X=2

P(x) = 50/100 = 0.5

There for the expected value will be -

EV = 2×0.5 = 1

Thus,

The expected value will be 1 point.

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