. The total number of hours, measured in units of 100 hours, that a student spends time in Mobile Legends over a period of one week is a continuous random variable X that has the density function, (PICTURE) Find the probability that over a period of one week, a student spends time in Mobile Legends A. less than 120 hours B. between 50 and 100 hours.

. The total number of hours, measured in units of 100 hours, that a student spends time in Mobile Legends over a period of one week is a continuous random variable X that has the density function, (PICTURE) Find the probability that over a period of one week, a student spends time in Mobile Legends A. less than 120 hours B. between 50 and 100 hours.

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 repair time of a computer at a workshop is uniformly distributed over the interval of one to five hours, Find the probability that a customer will get his computer repaired in less than two hours. Answer
Attention span in a population of students in a 50 minute class are found to be uniformly distributed with the given probability density function: {6 f(x) = { 10 ≤ x ≤ 50 otherwise a) What must c be equal to for this to be a valid probability density function? b) Determine the mean and median attention span of the students. c) Determine the standard deviation of the attention span of the students.
Let theta be the unknown market share that a company has for its primary product. Uncertainty in theta is represented by a probability density function of the beta distributional form with a = 54 and b = 46. You have developed the posterior distribution for theta after observing that 64 out of a random sample of 90 customers used the product. Which statement is correct? O A. In the sample, the proportion of people who used the product is greater than the expected proportion based on the prior, but this discrepancy has not affected the mean of the posterior distribution. B. In the sample, the proportion of people who used the product is less than the expected proportion based on the prior, and has led to the posterior distribution having a mean smaller than the prior mean but greater then the sample mean. O C. In the sample, the proportion of people who used the product is greater than the expected proportion based on the prior, and has led to the posterior distribution having a mean…
1. Each rear tire on an experimental airplane is supposed to be lled to a pressure of 40 pounds per square inch (psi). Let Y1 denote the actual air pressure for the right tire and Y2 denote the actual air pressure for the left tire. Suppose that Y1 and Y2 are random variables with the joint density function attached as a photo. a) Find k. b) Find the joint distribution function for Y1 and Y2. c) Find the probability that both tires are underfilled.
Do asap...please Thank u
The lifetime of a machine part has a continuous distribution: Osx<40 fylx) = (10+ x)? else a. Calculate the probability that the lifetime of the machine part is more than 6. b. Calculate the expectation of life of this machine C. Calculate the variance Calculate the probability that the lifetime of the machine part is more than 4 given that is lasts for less than 12 d.
Apple claims that with a fully charged battery, users of its iPhone 11 can stream video up to 10 hours. The minimum battery life for streaming video is 7.5 hours. Assume that for a randomly selected iPhone 11, battery life is uniformly distributed between 7.5 and 10 hours. The density function of this uniform probability distribution is given in the figure below. For values of battery life between 7.5 and 10 hours, the density is 0.4. For all other values of battery life, the density is 0. In the figure above, indicate the probability that a randomly selected iPhone 11 has a battery life between 9 and 10 hours. What is the value of this probability?
Given that X has the probability distribution f(x) = 1 for r 0, 1, 2,3, and 4. 16 Find the moment-generating function (MGF) of this random variable. Use the MGF to determine p. ' Use the MGF to determine u.
Let Zw distributed as Chi square random variable with n degree of freedom. Find the limiting distribution of Wn = Zw/n2
Calculate this probability: P(0.5>Z>0.2). Z represents a standard normal continuous random variable O a. 0.2707 O b. 0.5793 O. 0.6915 O d. 0.1122
The service time for an application in a workplace is modelled as an exponential random variable with parameter λ = 5 per hour, independent and identically distributed for all applicants. Determine the maximum number of applicants such that the probability of serving all of them within 8 hours is at least 95%. (Hint: Answer is not 31)
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.37 and 0.69? (c) What is the probability of generating a number greater than 0.83? ... OA. В. OC. Density 1.2- A Density 1.2- ADensity 1.2- 1- 1. 1- 0.8- 0.8- 0.6- 0.4- 0.2- 0+ 0.8- 0.6- 0.6- 0.4- 0.2- 04 0 0.2 0.4 0.6 0.8 1 0.4- 0.2- X 0- 0.2 0.4 0.6 0.8 1 1.2 1.2 0.2 0.4 0.6 0.8 1 1.2 (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.) B.