Answered: a. If F is the cumulative distribution…

a. If F is the cumulative distribution function of x, then what is the value of a? b. If p is the probability mass function for x, then evaluate b. c. What is the expected value of x?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Let X refer to the sum of two rolled die. Describe the probabilities of each outcome. If pX(x) is…

A: It is given that x denotes the sum of two rolled dies.

Q: The probability mass function of a random variable J is given as ( J f) = { 2 where J = {-1, 0, 1} 8…

A: A probability mass function f(j) is valid if the following conditions are satisfied: 1. fj≥0∀ j2.…

Q: Consider the following table: Value of X Probability 0 1/16 1 1/4 2 e 3 1/4 4 1/16…

A: According to the given information, for part (1) it is required to calculate the value of e. Since,…

Q: The following table gives the probability distribution for X = classes skipped yesterday by students…

A: The question is about discrete probability distribution.Given :

Q: Which of the following is/are true about continuous probability distributions? 1. The shape of the…

A: Which of the following is/are true about continuous probability distributions?

Q: A company wants to evaluate its attrition rate, in other words, how long new hires stay with the…

A: Properties of probability distribution , 1) The sum of probabilities is 1 i.e. ∑ P(X = xi) = 1 2)…

Q: A random experiment consists of rolling two six-sided dice A and B. A random variable, D, is defined…

A: The number of dice rolled is 2. The difference between the points of die A and Die B is D

Q: A mail-order computer business has six telephone lines. Let X denote the number of lines in use at a…

A: a. The probability that at least four lines are in use is, Thus, the probability that at least four…

Q: Which of the following statements are true? a. Chebychev's inequality generally requires the random…

A: Markov inequality: If X is a nonnegative random variable and a > 0, then the probability that X…

Q: Determine whether the following is a probability distribution. If not, identify the requirement that…

A: Properties for discrete probability distribution:

Q: A variable x of a finite population has the following frequency distribution: x 5 7 8 f 25 40…

A: Note:Hey there! Thank you for posting the question. However, since your question has more than 3 sub…

Q: P(x = 2) = b) What is the probability that a randomly selected person has received three tickets in…

Q: Which of the following statements are true? a. Probability density functions are always less or…

A: Solution Probability density function is always non negative and less than or equal to 1.…

Q: The table below shows the results of a survey that asked 410 people whether they are involved any…

A: We have to find correct answer..

Q: Suppose that the random variable x, shown below, represents the number times. P(x) represents the…

Q: What is o ? XY

A: Suppose you have the following joint probability of a stock and a bond having a positive or negative…

Q: A shuttle operator has sold 20 tickets to ride the shuttle. All passengers (ticket holder) are…

A: a. X follows a binomial distribution with parameters n=20 and p=0.65. The probability mass function…

Q: The joint probability function of random variables X and Y is given in the ta below. Show that X and…

A: y=-1 0 1 x=0 0.1 0.1 0.1 2 0.1 0.2 0.1 4 0.1 0.1 0.1 The objective is to show that X and…

Q: Consider the following cumulative probability distribution. x 0 1 2 3 4 5 P(X ≤ x)…

Q: Suppose that the random variable z, shown below, represents the number times . P(x) represents the…

A: a) The random variable x represents the number of times a randomly selected person having received…

Q: The distribution of the time until a Web site changes is important to Web crawlers that search…

A: Calculate the probability mass function of the days until change. The probability mass function of…

Q: A student offered random people 5 cookies total. Let X be the number of cookies that the person…

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

Hydroxychloroquine is a drug sometimes used to treat malaria or rheumatoid arthritis. This drug has recently received some notoriety as a possible
treatment for those suffering from Covid-19. A hydroxychloroquine tablet comes in a 200 mg strength, but hydroxychloroquine dosage may be anywhere
from 200 to 1200 mg. Thus, a patient must take multiple pills. Suppose X is the number of pills taken by a randomly selected hydroxychloroquine patient.
Then according to JJSDA, x has the following probability mass function, p(x), and cumulative distribution function F(x).
1
2
4
p(x)
.04
.27
.35
.10
07
F(x)
.04
.31
a
.83
.93
1
a. If F is the cumulative distribution function of x, then what is the value of a?
b. If p is the probability mass function for x, then evaluate b.
c. What is the expected value of x?
d. Calculate the variance of x.
e. What is the variance of 0.7*x?
f. The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that exactly 4 of the checked patients were
taking a dosage of 600 mg?
g. g) The CDC 'randomly' checks the dosage of 10 hydroxychloroquine patients. What is the probability that all 10 of these checked patients had a
dosage less than 1000 mg.?
h.What is the expected value of (x-2)2 ?
Add any comments below.
5:30 PM
10/1/2020
P Type here to search

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2-Given information & (a)

VIEW

Step 3-(b)

VIEW

Step 4-(c)

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The joint probability distribution function of X and Y is given by: 1 2 3 1 0.05 0.06 0.10 X 2 0.13 0.21 0.30 a. Find the conditional distribution of Y given X = 1 b. Find the conditional distribution of X given Y = 2 5 0.02 0.03 0.10
Let X be the number of bathrooms in a randomly selected house for sale in Malibu, California. Suppose X has the following probability distribution, where p(x) is the probability mass function, and F(x) is the cumulative distribution function. x 1 2 3 4 5 6 p(x) .05 .20 .32 .27 .10 .06 F(x) .05 .25 .57 a .94 1 a. What is the value of a? b. Calculate the probability that X < 3. c. Calculate the expected value of X. d. Calculate the variance of X. e. Calculate the expected value of x0.37 <_>f. We randomly and independently select 3 different houses for sale in Malibu. What is the probability that each of the 3 selected houses has exactly 3 bathrooms? g. We randomly and independently select 3 different houses for sale in Malibu. What is the probability that exactly two of the selected houses have exactly 2 bathrooms ? h. Malibu has a water crisis. The town board will solve this crisis by charging a special…
A) Complete the Table x P(X = x) x · P(X = x) 0 0.3 1 0.4 2 3 0.2 B) Find the probability that X = 2. C) Find the expected value
Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 2 3 4 P(X x) 0.3 0.25 0.25 0.15 0.05 The expected number of deaths per day in the hospital is: 3.3 ) 2.4 17
For each p value stated below, what is the decision for each if α = .01? Assume that this is the total probability (two tails combined). 19a. p = .1000 a. Reject H0 b. Retain H0 19b. p = .0050 a. Reject H0 b. Retain H0 19c. p = .0250 a. Reject H0 b. Retain H0 19d. p=.0001 a. Reject H0 b. Retain H0
Consider rolling 2, 3-sided dice. Let X = the sum of the dice. Let Y = the product of the dice. a. Find the joint probability function for X and Y. b. Find the marginal probability functions for X and Y. Find P(X > 3|Y = 3) C.
Let X denotes the number of patients who die at a certain hospital in a day. The following table gives the probability function of X. 1 3 4. P(X= x) 0.3 0.25 0.25 0.15 0.05 Find the P(1< X <4) O 0.4 0.95 0.7 O 0.5
Determine the value of c such that the function is a probability mass function. g= {(11,0.12), (13,0.4c), (15,0.4c), (17,0.22)} ... C = (Simplify your answer.)
Three 3-sided dice are tossed. Each die has its sides labeled 0, 1, and 2. Let X denote the product of the outcomes of the threee dice. Determine the probability mass function (pmf) of X.
Find the probability P(Ec) if P(E)=0.17.
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The last book a person in City A read c. The number of textbook authors now eating a meal d. The time it takes for a light bulb to burn out e. The square footage of a pool
1. Arianne found a damaged die that is twice as likely to give a prime number than a nonprime number. Let X be the outcome when this damaged die is tossed once. a. Give the probability mass function of X in tabular and piece-wise function form b. Compute the mean and variance of X