If a point is randomly located in an interval (a, b), and if X denotes the distance of the point from a, then X is assumed to have a uniform distribution over (a, b). A plant efficiency expert randomly picks a spot along a 500-foot assembly line from which to observe work habits. Find the probability that the point she selects is located as follows: Within 25 feet of the end of the line b Within 25 feet of the beginning of the line Closer to the beginning of the line than to the end of the line

If a point is randomly located in an interval (a, b), and if X denotes the distance of the point from a, then X is assumed to have a uniform distribution over (a, b). A plant efficiency expert randomly picks a spot along a 500-foot assembly line from which to observe work habits. Find the probability that the point she selects is located as follows: Within 25 feet of the end of the line b Within 25 feet of the beginning of the line Closer to the beginning of the line than to the end of the line

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

d. Find the distribution e. Find the distribution of I(X 6).
Over at NAIA, you are observing the average length of flight delays (excluding flights that leave on time). Your notes for ten randomly chosen days are here: Day Ave. delay (hrs:min) 1 2:00 2 1:48 3 0:19 4 0:25 5 2:18 6 0:43 7 0:13 8 0:17 9 0:34 10 3:12 If the airport claims that the delays will be no more than an hour on average, check his claim by doing the following: (a) Write the null hypothesis. (b) Write the alternative hypothesis. (c) Formulate and calculate the test-statistic. Is it a one-tail or two-tailed test? Did the airport told you the truth at 95% confidence level? (d) Determine the confidence interval
The time (in minutes) it takes Greg to complete a homework problem is uniformly distributed (continuously) on the interval (15, 28). What is the standard deviation of the time it takes to complete a homework problem?
b. The following are the time (in months) to relapse for patients who had acute leukemia when being treated with a particular drug: 10, 7,32', 23, 22, 6, 16, 34", 32", 25", 11", 20", 19", 6, 17", 35", 6, 13, 9", 6", 10" Obtain the Kaplan-Meier estimate of the survivor function.
The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.569 , find c. C = minutes (Report answer accurate to 4 decimal places.)
6c.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
Let X have a uniform distribution on the interval (2, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.
Q.7
Solve for C) answer b was wrong
The weights of new born black bear cubs are uniformly distributed with minimum of 245 and maximum of 295 grams. Suppose that a random new born cub is selected. f. Find the probability that the cub weighs between 258.5 and 270.3 grams.