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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