just need some help with number 5
Suppose that the time at which a businessperson leaves for lunch
(in hours after noon) is a continuous random variable X with
probability density function f(x) = c(1-x)2 for 0 < x < 1,
where c is the appropriate constant, and f(x) = 0 otherwise.
1.Determine the value of c for this to be a legitimate pdf.
2.Sketch this pdf. (Hand-drawn is fine.)
3.Determine the probability that this businessperson leaves for
lunch before 12:15. Also shade the region corresponding to this
probability in your pdf sketch.
4.Determine the probability that this businessperson leaves for
lunch at exactly 12:15.
5.Suppose that you notice that this businessperson has not yet left
for lunch by 12:30. Determine the (conditional) probability that
he/she will leave before 12:45, given that he/she has not left by
12:30.
just need some help with number 5 Suppose that the time at which a businessperson leaves...
I just need help with (c) please. (2+3+5 pts.) The life X (in years) of a regulator of a car has the pdf 2 1 Car 3.x2 (3/8)3 83 e 0 < x < 0. (a) What is the probability that this regulator will last at least 5 years? (b) Given that it has lasted at least 5 years, what is the conditional probability that it will last at least another 5 years? (c) Suppose the replacement cost Y (in...
I just need help with part C. Mostly figuring out the sketch 2·[210 total points (practice with joint, marginal and conditional densities) This is a toy problem designed to give you practice in working with a number of the concepts we've examined; in a course like this, every now and then you have to stop looking at real-world problems and just work on technique (it's similar to classical musicians needing to practice scales in addition to actual pieces of symphonic...
need urgent, no need to write it neat and clean, just send solutions in 10 to 15 minutes.. b0bGr.. Question 1) (60 Marks) a) Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs y, 0 sy s 1} and zero elsewhere.Where "c" is a constant. Determine if the RV X and Y are independent. (30 Marks) b) Given the following information. For a certain form of illness, (call...
f(x,y)= 0 1. (15 marks) Suppose X and Y are jointly continuous random variables with probability density function 12, 0<x<1, 0<y<0.5 else a) (5 marks) Find P(X - Y <0.25). b) (5 marks) Find P(XY <0.30). c) (5 marks) Find V (2x - 5Y+30).
Please help, need to code for this business assignment using c++. Business Expense Reimbursements Calculator Problem statement: Business trip is part of the enterprise culture. Suppose a businessperson just completed a business trip for your company. Now, you are tasked to write a program that calculates and displays the total travel expenses, allowable expenses for the trip, and the excess that must be paid by the businessperson, if any The program should prompt the user for the following . The...
Some of the common medications to help people with insomnia fall asleep include Ambien, Lunesta, and Sonata. Ambien CR is an extended-release variation and is formulated so that an individual will fall asleep within 30 minutes. The probability density function for X, the time (in minutes) it takes to fall asleep after taking an Ambien CR tablet, is given below. 0.05, f(x) = -0.0025(x-30), 0, (a) Verify that this is a valid probability density function. if 0 ≤...
F1. need help solving this problem. 1. (25 pts) Here's a neat theorem. Suppose that f la, b] [a, b] is continuous; then f will always map some s-value to itself (a so-called fixed point): i.e. 3 c E (a, b) for which f(c)-c (a) Give a "visual proof" of this theorem. Hint: take your inspiration from our "visual proofs" of Theorem 15 and IVT And notice here that the domain and range of f are the same interval; this...
1. Some of the common medications to help people with insomnia fall asleep include Ambien, Lunesta and Sonata. Ambien CR is an extended-release variation and is formulated so that an individual will fall asleep within 30 minutes. The probability density function for X, the time (in minutes) it takes to fall asleep after taking an Ambien CR tablet, is given below { if 0 x 10, if 10 30 otherwise 0.05, -0.0025(x-30) 0, f (x) (a) Verify that this is...
1) Suppose U, V, W U(0, 5), Determine P[ min(U, V, W) 1 a).578 b) .488 c).384 d) .462 e) .340 2) Suppose W has pdf f(x) P(W <.70 I W>.50) 2x, 0 < x <1. Determine a) .425 b).372 ).393 d).320 e) 456 3) 20% of employees at Acme Piston & Valve have college degrees. f those with a college degree, 56% are in the valve-worker's union. Of those without a college degree, 90% are in the valve- worker's...
Show all work! Thank you! 0<x<2, 0<y<1 23. The joint pdf of X and Y is fx.y(x, y)= (region below). 3 0 otherwise a) Determine f(y) b) Determine fx, (x) c) Determine E[Yx] d) Determine E[X|y] 0 1 2 24. Suppose that the joint probability density function of the jointly continuous random variables X and Y is x on the given region fxy(x,y)= 11 10 otherwise Determine fyly) 1 _$6x 0<x< y1 25. Let X and Y be continuous random...