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Experiment: A six-sided die is rolled 18 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation of the random variable X, the number of twos. 1.581 1.537 2.5 1.73 O 1.622

Experiment: A six-sided die is rolled 18 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation of the random variable X, the number of twos. 1.581 1.537 2.5 1.73 O 1.622

MATLAB: An Introduction with Applications
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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**Experiment:** A six-sided die is rolled 18 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation of the random variable \( X \), the number of twos. Choices: - \( \circ \) 1.581 - \( \circ \) 1.537 - \( \circ \) 2.5 - \( \circ \) 1.73 - \( \circ \) 1.622
Transcribed Image Text:**Experiment:** A six-sided die is rolled 18 times and the number of twos that come up is tallied. If this experiment is repeated many times, find the standard deviation of the random variable \( X \), the number of twos. Choices: - \( \circ \) 1.581 - \( \circ \) 1.537 - \( \circ \) 2.5 - \( \circ \) 1.73 - \( \circ \) 1.622
Expert Solution
Step 1

It is interpreted that a die (with six-side) is rolled 18 times. Each roll can be defined as success (if the face is "two") or failure (if the face is "not true"). Considering the die is fair (i.e., the probability of obtaining a "two" in each roll is constant), for a finite number of n trials (or rolls), with a success probability of p, the variable "X= no. of twos" is claimed to be following a Binomial distribution, i.e., X~Binomial(n,p).

 

 

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