### Probability Problem: Math Class Enrollment**Description:**77% of all students at a college still need to take another math class. If 30 students are randomly selected, find the probability that:1. **Exactly 21** of them need to take another math class.2. **At most 25** of them need to take another math class.3. **At least 23** of them need to take another math class.4. **Between 18 and 26** (including 18 and 26) of them need to take another math class.**Instructions:**Round all answers to 4 decimal places.**Explanation:**To solve these problems, you can use the binomial probability formula or relevant statistical tools to calculate the probabilities based on the given conditions. The probability of each event needs to be computed using the probability \( p = 0.77 \) (since 77% need to take another class) and accounting for the sample size of 30 students.This exercise is useful for understanding and applying the concepts of binomial distributions in statistics.

Givenp=0.77n=30x~Binomial(n=30,p=0.77)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1...,n

Answered: 77% of all students at a college still…

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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