A school newspaper reporter decides to randomly survey 12 students to see if they willattend Tet festivities this year. Based on past years, she knows that 18% of students attendTet festivities. We are interested in the number of students who will attend the festivities.a. In words, dene the Random Variable X.b. List the values that X may take on.c. Give the distribution of X.d. How many of the 12 students do we expect to attend the festivities?e. Find the probability that at most 4 students will attend.f. Find the probability that more than 2 students will attend.

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a. In words, dene the Random Variable X. b. List the values that X may take on. c. Give the distribution of X.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

A school newspaper reporter decides to randomly survey 12 students to see if they will
attend Tet festivities this year. Based on past years, she knows that 18% of students attend
Tet festivities. We are interested in the number of students who will attend the festivities.
a. In words, dene the Random Variable X.
b. List the values that X may take on.
c. Give the distribution of X.
d. How many of the 12 students do we expect to attend the festivities?
e. Find the probability that at most 4 students will attend.
f. Find the probability that more than 2 students will attend.

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