A variable x of a finite population has the following frequency distribution:x578f254060Suppose a member is selected at random from the population and let X denote the value of the variable x for the member obtained.a. Determine the probability distribution of the random variable X.b. Use random-variable notation to describe the events that X takes on the value 6, a value of at most 6, and a value greater than 6.c. Find P(X = 6), P(X ≤ 6), and P(X >6). Interpret your results.d. Construct a probability histogram for the random variable X.

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Asked Jan 21, 2020
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A variable x of a finite population has the following frequency distribution:

x 5 7 8
f 25 40 60

Suppose a member is selected at random from the population and let X denote the value of the variable x for the member obtained.

a. Determine the probability distribution of the random variable X.
b. Use random-variable notation to describe the events that X takes on the value 6, a value of at most 6, and a value greater than 6.
c. Find P(X = 6), P(X ≤ 6), and P(X >6). Interpret your results.
d. Construct a probability histogram for the random variable X.

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Obtain the probability distribution for the random variable X:

The corresponding probabilities of the random variable Y is obtained by dividing frequency (f) of the random variable X, by total frequency (N).

That is,

Statistics homework question answer, step 1, image 1
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Step 2

Total frequency is,

Statistics homework question answer, step 2, image 1
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Step 3

The probability distribution for the random varia...

Statistics homework question answer, step 3, image 1
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