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Test the following function to determine whether it is a probability function

by | Dec 1, 2023 | Posted Questions

Probability function, distribution, value of random variable

Answer the following questions and show your work.

1. Test the following function to determine whether it is a
probability function:

P(x) = (x²+5)/80 ; for 1,2,3,4, or 5.

2. A small bag of M&M candies has the following
assortment: red(10), blue(2), orange(5), brown(12), green(0), and yellow(8).
Give the probability distribution of x.

3. In order to monitor the quality of a production process,
samples of size five are selected daily. The random variable of interest is the
number of defectives in the five items selected. What values are possible for
this random variable?

4. Is the number of textbooks you bought this semester a
discrete or continuous random variable? Explain.

5. Given that the numbers 1 through 6 are equally likely to
occur, what is Px(â?¤2)? Remember that <= means equal to or less than.

6. Which of the following would not be a continuous random
variable?

A) Age of
student upon graduation from college.

B) Number of
attempts to make a field goal in football.

C) Number of
miles driven on a trip.

D) Body
temperature of small children.

True or Fales.

7. _____The probability of event A or B is equal to the sum
of the probability of event A and the probability of event B when A and B are
mutually exclusive events.

8. _____The sum of all probabilities in any probability
distribution is always exactly 1.25.

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