a. Explain why x is a discrete random variable. O A. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O B. The event x is a discrete random variable because the values of the random variable are countable. O. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. OD. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. b. Find p(x) for x = 0, 1, 2, 3, 4, 5. 1 3 4 p(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply.
a. Explain why x is a discrete random variable. O A. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O B. The event x is a discrete random variable because the values of the random variable are countable. O. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. OD. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. b. Find p(x) for x = 0, 1, 2, 3, 4, 5. 1 3 4 p(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:According to recent research by NASA, 34% of the world's space products are manufactured in the USA. Consider a random sample of five space products and let x represent the number in the sample that are manufactured in USA. The formula below gives
the probability distribution for x, where n! = (n)(n – 1)(n - 2)...(2)(1). Complete parts a through d.
(5!)(0.34)*(0.66)5 - x
p(x) =
(x1)(5 - х)!
a. Explain why x is a discrete random variable.
O A. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely.
O B. The event x is a discrete random variable because the values of the random variable are countable.
OC. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely.
O D. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals.
b. Find p(x) for x = 0, 1, 2, 3, 4, 5.
1
3
4
p(x)
(Type integers or decimals rounded to three decimal places as needed.)
c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply.
O A. Each probability is greater than or equal to 0.
O B. Each probability is greater than or equal to 1
O C. The probabilities sum to 1.
O D. The probabilities sum to 0.
O E. The properties for a discrete probability distribution are not satisfied.
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