# 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.

Question
10 views

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.

check_circle

Step 1

Note:

Hey there! Thank you for posting the question. However, since your question has more than 3 sub parts, according to our policy, we have solved the first 3 sub parts for you. If you need help with any other part, please re-post the question and mention the part you need help with.

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,

Step 2

Total frequency is,

Step 3

The probability distribution for the random varia...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in
MathStatistics