**Problem Statement:**Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.**Instructions:**The probability is [ ] (Type an integer or decimal rounded to four decimal places as needed.)---**Explanation:**To find the probability, we can use the binomial probability formula:\[ P(X < k) = \sum_{x=0}^{k-1} \binom{n}{x} p^x (1-p)^{n-x} \]Where:- $ n = 13 $ (the number of trials)- $ p = 0.52 $ (the probability of success on a single trial)- $ k = 5 $ (fewer than 5 successes)This calculation involves summing up the probabilities for 0, 1, 2, 3, and 4 successes.

The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.

Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Problem Statement:**

Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 13 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes.

**Instructions:**

The probability is [ ]
(Type an integer or decimal rounded to four decimal places as needed.)

---

**Explanation:**

To find the probability, we can use the binomial probability formula:

\[ P(X < k) = \sum_{x=0}^{k-1} \binom{n}{x} p^x (1-p)^{n-x} \]

Where:
- $ n = 13 $ (the number of trials)
- $ p = 0.52 $ (the probability of success on a single trial)
- $ k = 5 $ (fewer than 5 successes)

This calculation involves summing up the probabilities for 0, 1, 2, 3, and 4 successes.

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