Answer :
The expected value of X is 65.805. This means that if we were to repeat this experiment many times, on average, the value of X would be close to 65.805.
To find the expected value of a discrete random variable X, we use the formula:
E[X] = Σ(xi * pi)
where xi is the value of X and pi is the probability of X taking that value.
In this case, we are given the probability distribution function (PDF) of X, which lists the possible values of X and their corresponding probabilities. So we can simply plug in these values into the formula to find the expected value:
E[X] = 65.7(0.06) + 98.5(0.18) + 72.6(0.13) + 72.3(0.09) + 52.2(0.54)
= 3.942 + 17.73 + 9.438 + 6.507 + 28.188
= 65.805
Learn more about probability at: brainly.com/question/32004014
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