Answered: Consider the probability distributions…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Consider the probability distributions you have studied so far.

Which of the following distributions apply to discrete random variables? (Select all that apply.)

Binomial Distribution

Poisson Distribution

Geometric Distribution

Normal Distribution

Which apply to continuous random variables? (Select all that apply.)

Binomial Distribution

Poisson Distribution

Geometric Distribution

Normal Distribution

Under what conditions can the binomial distribution be approximated by the normal? Let n be the number of trials, p be the probability of success on each trial, and

q = 1 − p.

n ≥ 30 n

≥ 100 and np ≥ 10

n ≥ 100 and np < 10

np > 5 and nq > 5

np ≤ 5 and nq ≤ 5

Under what conditions can the binomial distribution be approximated by the Poisson? Let n be the number of trials, p be the probability of success on each trial, and

q = 1 − p.

(Select all that apply.)

n ≥ 30 n

≥ 100 and np ≥ 10

n ≥ 100 and np < 10

np > 5 and nq > 5

np ≤ 5 and nq ≤ 5

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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