Suppose that random variable X is uniformlydistributed between 7 and 22. Draw a graph ofthe density function, and then use it to help findthe following probabilities:А. Р(X > 22) -B. P(X < 16.7) =С. Р(10 < X < 19) -D. P(17 < X < 24) =%3D

Answered: Image /qna-images/answer/3620d2a4-3cac-468b-9bed-ea16027171cf.jpg

Answered: А. Р(X > 22) - В. Р(X < 16.7) %3D С.…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 23E

See similar textbooks

Similar questions

The lifetime of a machine part has a continuous distribution: Osxs 40 fx(x) = { (10+ x)² else а. Calculate the probability that the lifetime of the machine part is less than 5. b. Calculate the expectation of life of this machine C. Calculate the variance d. Calculate the probability that the lifetime of the machine part is less than 5 given that is lasts for more than 2
A bank operates both a drive-up facility and a walk-up window. On a randomly selected day, let X be the proportion of time that the drive-up facility is in use (at least one customer is being served or waiting to be served) and Y be the proportion of time that the walk-up window is in use. The joint PDF is ... fxy (x, y) = 5 (x + y²) • What is the probability that neither window is busy more than one-quarter of the time? • What is f(X)? • What is fy(y)?
%A. l. https://docs.google.com/fo YO 4.4 O 3.96 O 1.8 نقطة واحدة Let X denote the number of colleges where you will apply after your results and P(X =x) denotes your probability of getting admission in x number of colleges. It is given that if x = 0 or 1 if x = 2 if x 3 or 4 otherwise kx, 2kx, P(X = x) 3= %3D k(5 - x), 0, Where k is a positive constant. Then the probability that you will get admission in at most 2 colleges is 0.625
Answer d, c, f
. Let D denote the event that a subject has a certain disease. Let S denote the event that a subject is sampled from the population under study. Let the probabilities related with this sampling be r0 and r1 where r0 = P(S|D) and r1= P(S|Dc). Note that Dc denotes the complement of D, which refers to the event that a subject does not have the disease under study. Suppose a logistic regression holds for probability of the disease, that is P(D|x) = exp(α+Xβ) / (1+exp(α+Xβ)). i. Using Bayes Theorem, show that P(D|S,x) also follows a logistic regression model with the same effect coefficients β but with a different intercept, namely α* = α +log(r0/ r1). ii. Comment on what the result in (i) means in practice?
Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.04. Suppose that on a given day 10 patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of X are: O E(X)=0.4 and V(X)=0.384 O None of these O E(X)=0.5 and V(X)=0.475 E(X)=0.3 and V(X)=0.291
Let X and Y be independent random variables representing the lifetime (in one billion years) of Type A and Type B stars, respectively. Both variables have exponential distributions, and the mean of X is 3 and the mean of Y is 11. What is the variance of the total lifetime of three times a Type A star and a Type B star?
2. The random variable X is the amount of fructose in apples (in ounces) grown at a local orchard and is represented by the following cdf: 2(x +), 1
2. You have two lightbulbs for a particular lamp. Let X = the lifetime of the first bulb and Y = the lifetime of the second bulb (both in 1000s of hours). Suppose that X and Y are independent and that each has an exponential distribution with parameter λ=1 • What is the joint pdf of X and Y? • What is the probability that each bulb lasts at most 1000 hours (i.e., X ≤1 and Y ≤1)?
Suppose that random variable is uniformly distributed between 4 and 29. Draw a graph of the density function, and then use it to help find the following probabilities: A. P(X > 29) = B. P(X < 9.9)= C. P(9 < X < 24)= D. P(12 < X < 32)=

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

А. Р(X > 22) - В. Р(X < 16.7) %3D С. Р(10 < Х < 19) - D. P(17 < X < 24) = %3D