On typical cold December weekends, 1912 customers visit a tree farm to purchase a Christmas tree. Theprobability that a customer is wearing a hat with a pom pom is 8%.Find the mean number for this distribution.(Round answer to one decimal place.)Find the standard deviation for this distribution.(Round answer to two decimal places.)Use the range rule of thumb to find the range of the usual number people wearing a hat with a pom pom ona given weekend. Enter answer as an interval using square-brackets only with whole numbers.usual values => Next QuestionP Type here to search

Answered: On typical cold December weekends, 1912…

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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On typical cold December weekends, 1912 customers visit a tree farm to purchase a Christmas tree. The
probability that a customer is wearing a hat with a pom pom is 8%.
Find the mean number for this distribution.
(Round answer to one decimal place.)
Find the standard deviation for this distribution.
(Round answer to two decimal places.)
Use the range rule of thumb to find the range of the usual number people wearing a hat with a pom pom on
a given weekend. Enter answer as an interval using square-brackets only with whole numbers.
usual values =
> Next Question
P Type here to search

Expert Solution

Step 1

Given,

$n = 1912 p = 0.08$

The required mean number for this distribution is obtained as-

$\begin{array}{rcl} m e a n (μ) & = & 1912 \times 0.08 \\ = & 152.9 \end{array}$

The required standard deviation for this distribution is obtained as-

$\begin{array}{rcl} S \tan d a r d d e v i a t i o n (σ) & = & \sqrt{n \times p \times (1 - p)} \\ = & \sqrt{1912 \times 0.08 \times (1 - 0.08)} \\ = & 11.8627 \\ ~ 11.86 \end{array}$

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