A recent survey found that 90% students plan to go on vacation after graduation. Suppose students are randomly selected and let be the number of students that plan to go on a vacation alter graduation, out of the sample 5. Use the binomial probability formula or the binomial probability table to construct the probability distribution of , use the binomial probability formula or the binomial probability table to construct the cumulative probability distribution of Calculate the probability that no more than 3 students out of a random sample of 5 students plan to go onvacation after graduation.P(a < 3) =%3DCalculate the probability that more than 3 students out of a random sample of 5 students plan to go onvacation after graduation.P(r 3) Round solutions to four decimal places, if necessary.P(r)a P(X) < a3.4Calculate the probability that no more than 3 students out of a random sample of 5 students plan to go onvacation after graduation.P(x < 3)Type here to search

Answered: Calculate the probability that no more…

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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A recent survey found that 90% students plan to go on vacation after graduation. Suppose students are randomly selected and let be the number of students that plan to go on a vacation alter graduation, out of the sample 5. Use the binomial probability formula or the binomial probability table to construct the probability distribution of , use the binomial probability formula or the binomial probability table to construct the cumulative probability distribution of

Calculate the probability that no more than 3 students out of a random sample of 5 students plan to go on
vacation after graduation.
P(a < 3) =
%3D
Calculate the probability that more than 3 students out of a random sample of 5 students plan to go on
vacation after graduation.
P(r 3)

Round solutions to four decimal places, if necessary.
P(r)
a P(X) < a
3.
4
Calculate the probability that no more than 3 students out of a random sample of 5 students plan to go on
vacation after graduation.
P(x < 3)
Type here to search

Expert Solution

Step 1

Solution:

Let X be the random variable that plan to go vacation after graduation.

The probability of plan to go vacation after graduation is p=0.90

n= 5 sample size of students

The random variable X has binomial distribution with parameters n= 5 and p= 0.90

The formula for binomial distribution is

$P (X = x) = (\begin{matrix} n \\ x \end{matrix}) \times p^{x} \times {(1 - p)}^{n - x} x = 0, 1, 2, . . . n$

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