x is a binomial random variable from a binomial experiment with n = 18 and p = 0.7. a. Compute P(x = 12). Show your work. b. Use Excel function "=binom.dist" to get the printout of the probability distribution. See page 66 of the course packet or pages 269-270 of your textbook. Use the binomial probability distribution from part b to calculate P(x ≥ 14). Use the short-cut formula to compute E (x). e. Compute the variance and the standard deviation of x, C. d.

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...
icon
Related questions
Question
Assume that \( x \) is a binomial random variable from a binomial experiment with \( n = 18 \) and \( p = 0.7 \).

a. Compute \( P(x = 12) \). Show your work.
b. Use Excel function “=binom.dist” to get the printout of the probability distribution. See page 66 of the course packet or pages 269 – 270 of your textbook.
c. Use the binomial probability distribution from part b to calculate \( P(x \geq 14) \).
d. Use the short-cut formula to compute \( E(x) \).
e. Compute the variance and the standard deviation of x.
Transcribed Image Text:Assume that \( x \) is a binomial random variable from a binomial experiment with \( n = 18 \) and \( p = 0.7 \). a. Compute \( P(x = 12) \). Show your work. b. Use Excel function “=binom.dist” to get the printout of the probability distribution. See page 66 of the course packet or pages 269 – 270 of your textbook. c. Use the binomial probability distribution from part b to calculate \( P(x \geq 14) \). d. Use the short-cut formula to compute \( E(x) \). e. Compute the variance and the standard deviation of x.
Expert Solution
Step 1

The value of n is 18 and the value of p is 0.7.

steps

Step by step

Solved in 6 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON