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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Question

Assume that when adults with smartphones are randomly selected, 43% use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.

The probability is ?

Expert Solution

Step 1

Solution:

Let X be the random variable that adults uses smartphones in meetings or classes.

The probability of adults uses smartphones in meetings or classes is 0.43

n= 10 random sample of adults.

The random variable X has binomial distribution with parameters n=10 and p= 0.43

$X ~ B (n = 10, p = 0.43)$

The formula for binomial distribution is

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

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