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,

55% use them in meetings or classes. If 11 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

As each adult has two options "To use smartphones in meetings or classes" or "Not to use smartphones in meetings and classes", it can be claimed that the variable follows "Binomial distribution"

We also know that adults use smartphones, i.e. $p r o b a b i l i t y o f s u c c e s s (p) = \frac{55}{100} = 055$

The number of adults included in the sample is $11, i . e n = 11$

Now, $p r o b a b i l i t y o f f a i l u r e (q) = 1 - p = 1 - 0.55 = 0.45$

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