a. Draw a density function using the following information X has a uniform distribution The value of the density is zero for x less than 7 The value of the density is 1/ 3 for x between 7 and 10 The value of the density is zero for x greater than 10 b. Find the probability that x is less than 6. c. Find the probability that x is between 7 and 9 d. Find the probability that x is between 8 and 12

a. Draw a density function using the following information X has a uniform distribution The value of the density is zero for x less than 7 The value of the density is 1/ 3 for x between 7 and 10 The value of the density is zero for x greater than 10 b. Find the probability that x is less than 6. c. Find the probability that x is between 7 and 9 d. Find the probability that x is between 8 and 12

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

The probability density of a random variable X is given in the figure below. 0 1 X 2 From this density, the probability that X is at least 1.48 is: Give your answer to at least 4 decimal places.
Below is a graph of a normal distribution with mean u = -2 and standard deviation o = 3. The shaded region represents the probability of obtaining a value from this distribution that is between -5 and -0.5. 0.4- 0.3- 0.2- .1- -5 - 0.5
The following density function describes a random variable X. f(x) = 1 – ; if 0
Students in a statistics class were surveyed about the number of hours they worked per week. The density histogram shown describes their responses. For a randomly selected student in the class, let X be the number of hours the student works per week. Describe the shape of the distribution. Choose the correct answer below. Time Spent Working per Week 0.06 0.04 0 25 0.02- 021 0.14 O 15 0.13 0.12 of 10 25 20 Hours per wee 30 O a. Bimodal O b. Left-skewed O C. Right-skewed O d. Normal
Which are the properties of the standard normal distribution. ( select that all apply) -The total area under the probability density curve is 1 -It is symmetric about the mean -the z score can not be negative -the density curve is a straight line
Let x be the amount of time (in minutes) that a particular commuter will have to wait for atrain.Suppose that the distribution is uniform and ranges between 0 and 20 minutes.a. Draw the density curve for x.b. Find the value of the height.c. What is the probability that x is more than 8 minutes?d. What is the probability that x is between 7 and 15 minutes?e. Find the value of c for which P(x < c) = 0.7.
C Arandom variable is normally distributed with a mean of μ-50 and a standard deviation ofto=5 a. Which of the following graphs accurately represents the probability density function? A B 40 50 55 σ=5 60 d=5
For the uniform [5, 10] density below, aka the spinner, what is the probability of the event of getting 8.5 or more? Probability (X8.5) =_ .8 Probability DENSITY 4 09 2 0 -10 -5 a = 5 and b = 10 X Density = 2 7 0 5 10 x-values 15 27 20 25 30
17
Assume that the variable under consideration has a density curve. The area under the density curve that lies to the right of 20 is 0.368. a. What percentage of all possible observations of the variable exceed 20? b. What percentage of all possible observations of the variable are at most 20? a. ___________% (Type an integer or a decimal.) b. ___________% (Type an integer or a decimal.)
The following density function describes a random variable X. 1 if 1< x < 5 8 f(x) = A. Find the probability that X lies between 2 and 4. Probability = B. Find the probability that X is less than 3. Probability =