3) Let x be a binomial random variable with n= 20 and p = HI / 100. a. Calculate P (x = 4) using the binomial formula. b. Calculate P (xs 4) using the binomial formula. c. Find P (2 sx S 4) and P (x > 1). d. Calculate the mean, variance and standard deviation of the random variable x. e. Use the results of part d to calculate the intervals uto, u±20, and u ± 30. Find the probability that an observation will fall into each of these intervals. f. Are the results of part e consistent with Tchebysheff's Theorem? With the Empirical Rule? Why or why not?

3) Let x be a binomial random variable with n= 20 and p = HI / 100. a. Calculate P (x = 4) using the binomial formula. b. Calculate P (xs 4) using the binomial formula. c. Find P (2 sx S 4) and P (x > 1). d. Calculate the mean, variance and standard deviation of the random variable x. e. Use the results of part d to calculate the intervals uto, u±20, and u ± 30. Find the probability that an observation will fall into each of these intervals. f. Are the results of part e consistent with Tchebysheff's Theorem? With the Empirical Rule? Why or why not?

Name: 3) Let x be a binomial random variable with n = 20 and p = HI / 100.a
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Description: 3) Let x be a binomial random variable with n = 20 and p = HI / 100.a. Calculate P (x = 4) using the binomial formula.%3Db. Calculate P (xS 4) using the binomial formula.c. Find P (2 sx S 4) and P (x > 1).d. Calculate the mean, variance and standard

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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3) Let x be a binomial random variable with n = 20 and p = HI / 100.
a. Calculate P (x = 4) using the binomial formula.
%3D
b. Calculate P (xS 4) using the binomial formula.
c. Find P (2 sx S 4) and P (x > 1).
d. Calculate the mean, variance and standard deviation of the random variable x.
e. Use the results of part d to calculate the intervals u±0, µ±20, and u ± 30. Find the probability
that an observation will fall into each of these intervals.
f. Are the results of part e consistent with Tchebysheff's Theorem? With the Empirical Rule? Why
or why not?
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