Answered: Assume that when adults with…

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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Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.

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Step 1

Binomial Distribution :

The binomial probability is a type of discrete probability distribution that can take random values on the range of $[0, n]$ , where $n$ is the sample size. The main properties of the binomial distribution are :

It is discrete, and it can take values from 0 to n, where n is the sample size.
The type of skewness depends on the parameters n and p .
It is determined by two parameters: the population proportion of success, the sample size (or number of trials).
The mean of the binomial distribution is $n \cdot p$ and its standard deviation is $\sqrt{n p (1 - p) }$ .

It's probability formula is given as:

$P (X = x) = (\begin{matrix} n \\ x \end{matrix}) \cdot p^{x} \cdot {(1 - p)}^{n - x}$

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