Continuous random variables that can assume values at all points on an interval of values, with no breaks between possible values, are quite common. Which of the following are continuous random variables (i) loss amount in dollars per claim on an insurance policy (ii) student GPAs (iii) number of burgers sold at Chick Fila (iv) classroom temperature (v) class attendance (a) (i) & (iv) only (b) (ii) & (iii) only (c) (i), (ii) & (iv) (d) (i), (ii) & (v) (e) none of the above combinations are correct

Continuous random variables that can assume values at all points on an interval of values, with no breaks between possible values, are quite common. Which of the following are continuous random variables (i) loss amount in dollars per claim on an insurance policy (ii) student GPAs (iii) number of burgers sold at Chick Fila (iv) classroom temperature (v) class attendance (a) (i) & (iv) only (b) (ii) & (iii) only (c) (i), (ii) & (iv) (d) (i), (ii) & (v) (e) none of the above combinations are correct

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...

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В2. (a) Given the probability Venn diagram below for the two Events A and B find the probabilities: 0.6 0.5 A 0.2 (i) (ii) (iii) Pr( A 'OR' B) Pr( Not-A 'AND' Not-B) Pr( Not-A "OR' Not-B) (b) A random sample from a population of X with unknown mean but a known variance, o = 400, gives the following data: sample size, n= 125, Ex= 1750. (i) Give a point estimate of the population mean, u. (ii) Is this estimate biased or not. Give a reason. (ii) Derive a 95% confidence interval for the population mean, µ.
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 28% below the target pressure. Suppose the target tire pressure of a certain car is 28 psi (pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is (Click to select) psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended correct inflation range is 26 psi to 30 psi. Assume the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability 18 of 19 Next > Prev…
4. Instructor's Praise: Suppose the amount of praise an instructor gi ves in his class can be modelled by a Poisson random variable X with rate 3 sentences per class. (a) What is the rate per class (A) and hence the mean and variance of the random variable X. (b) 1,2, 3, 4, 5). (Fill the table below and show all your working) Find the probability that in a particular class he gives I sentences of prai se (where r = (c) that in the next class he gives a sentences of praise (where r= 1,2, 3, 4, 5). Given that the instructor didn't give any praise in the first 10 classes. What is the probability (d) praise, what's the probability that he gave 3 sentences of praise. Find the conditional probability that in a class given that he gives at most 5 sentences of (a) (b) The following are the relevant probabilities: X = r 1 2 3 4 5 P(X = x) (c) The following are the relevant probabilities: | 1 2 3 | 4 |5 X = 1 P(X = x) (d)
9) The probability that a 2011 Audi A8 will be stolen is .0048. Find the odds against the theft of a 2011 Audi A8. Round your answer to the nearest whole number. Odds against a 2011 Audi being stolen is to 10) The probability that an international flight leaving the United States is delayed in departing (event D) is .35. The probability that an international flight leaving the United States is a transpacific flight (event P) is .40. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) Probability (b) In this problem, are D and P independent? No Yes 11) The fracture strength of a certain type of manufactured glass is normally distributed with a mean of 579 MPa with a standard deviation of 14 MPa. (a) What is the probability…
5. The probability distribution of discrete random variable X is given by k for x = 1, 2, 3 x +1 P(X = x) %3D
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(3) You take an exam that contains 20 multiple-choice questions. Each question has 4 possible options. You know the answer to 10 questions, but you have no idea about the other 10 questions so you choose answers randomly. Your score X on the exam is the total number of correct answers. Find the PMF of X. What is P(X > 15)? The number of customers arriving at a grocery store is a Poisson random variable. On average 10 customers arrive per hour. Let X be the number of customers arriving from 10am to 11 : 30am. What is P(10 < X < 15)? (4)
● Ex: Consider experiment tossing four coins, the random variables is defined by assigning (0) to tail and (1) to head then adding the numbers, determine and plot the cumulative distribution function.
If the lifetime of a computer is an exponential random variable whose mean is 5 year. Given that the computer has not broken down after 3 years, find the expected total lifetime of this computer. (a) 4 (b) 6 (c) 8 (d) 10