Question: An exponential random variable X has been used to model the relief times (in minutes) of arthritic patients who have taken an analgesic for their

An exponential random variable X has been used to model the relief times (in minutes) of arthritic patients who have taken an analgesic for their pain. Suppose that the density function for X is f (x) = ke^-kx and that a certain analgesic provides relief within 4 minutes for 75% of a large group of patients. Then, we may estimate that Pr (X ≤ 4) = .75. Use this estimate to find an approximate value for k.

Step by Step Solution

★★★★★

3.30 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

PrX 4 ke SO k ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Q1) Fill the table for European Option Positions at Maturity (K= Strike Price, Sr is the underlying asset price at Maturity) Position Long Call (K.T) Short Call (K.T) Long Put (K.T) Short Put (K.T)...

A distribution that has been used to model tolerance levels in bioassays is the logistic distribution with parameters and . The cumulative distribution function of the logistic distribution is F(x)...

The random variable X has density function f given by (a) Determine K in terms of Î¸. (b) Find FX(b), the CDF of X. (c) Find E(X). (d) Suppose for OS vs 0. elsewhere.

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

You own a small storefront retail business and are interested in determining the average amount of money a typical customer spends per visit to your store. You take a random sample over the course of...

A large national survey conducted in 1995 indicated that 18% of American adults had ever been tested for HIV at some point in their life. Suppose that in 2016 we take a simple random sample of 100...

Unit II Continuous Probability Distributions: The Normal Distribution Normal Dist1 Towards the Meaning of Continuous Probability Distribution Functions: When we introduced probabilities, we spoke of...

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

1) Suppose that = 155 and = 20. Find the score 2.2 standard deviations above the mean. 20 5 19 9 19 0 18 5 2) Suppose that = 155 and = 20. Find the score 2.8 standard deviations below the mean. 8 9 9...

Excelsior College PBH 321 CRITICAL EYE ON RESEARCH IN EPIDEMIOLOGY By the end of this activity, you will be able to illustrate the purposes, designs, weaknesses, and relevance of a randomized drug...

Hamiltons Bakery borrowed $50,000 on January 1, 2009. The bakery is required to repay $5,000 of the loan principal on December 31 of each year beginning in 2009 plus an amount equal to 10 percent...

What is the total amount of energy stored in a 12-V, 85- A h car batter when it is full charged?

ou are building a free cash flow to the firm model. You expect sales to grow from $ 1 billion for the year that just ended to $ 1 . 7 billion five years from now. Assume that the company will not...

Media richness is a measure of a. A mediums ability to use more than one informational cue, facilitate feedback, and establish personal focus b. A mediums ability to use more than one informational...

Multiple choice: Interpret parameter If y = 2 + 3x 1 + 5x 2 - 8x 3 , then controlling for x 2 and x 3 , the change in the estimated mean of y when x 1 is increased from 10 to 20 a. Equals 30. b....

Give an example of three variables for which you expect 0 in the model y = + x 1 but 1 = 0 in the model y = + 1 x 1 + 2 x 2 .

When looking at a collection of numbers, such as population sizes, the figures on tax returns or the charges on a credit card, one may think that the leading digit of the number is equally likely to...

Fletcher Company manufactures and sells one product. The following information pertains to each of the company's first two years of operations: During its first year of operations, Fletcher produced...

Scylla and Charybdis MonsterWorks has 5.77 percent coupon bonds outstanding with a face value of $1,000 and a market price of $856. The bonds pay interest annually and have a yield to maturity of...

Jed's Cars, Inc., just purchased a $365,000 machine to produce toy cars. The machine will be fully depreciated by the straight-line method over its five-year economic life. Each toy sells for $25....