Let M be the biggest digit of your student ID. Forexample, if your student ID is 53706 then M= Max {5, 3, 7,0, 6} =7.M=..Question 1: Joint probability Distribution (15points + integrity statement)Let X be the age of a runner in years and Y be the distancein kilometer that the person can run in 20 minutes. Thefollowing is the joint discrete probabilitydistribution (mass) function for X and Y.Y = DistanceX = Age34.200.150.080.02300.100.100.050.0540M/1000.100.030.02500.070.020.010.0a) What is P(X <40 and Y<5)? [

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Answered: Let M be the biggest digit of your…

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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The following are the probability distributions for the cost of textbooks in the fall semester for two different majors. Each probability represents the chance that the total cost of a student's books will be the given amount. Calculate the absolute difference in the expected cost of textbooks for the fall semester for these two majors. Express your answer rounded to two decimal places. Cost of Textbooks (in dollars) for Business Majors X 431.00 510.00 625.00 X Cost of Textbooks (in dollars) for Chemistry Majors 500.00 601.00 P(X = x) 649.00 0.23 0.56 0.21 P(X = x) 0.18 0.52 0.30
A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
The number of substances produced by a radioactive breakdown shows a Poisson distribution with a mean of 25. Use the Poisson distribution to find the probability that the number of substances occurring in 1 second is between 23 and 27.
A thief steals stereo systems from the parked cars. Every morning he starts searching parked cars, until he gets a car with stereo system. Then he steals the stereo system and calls it a day. The probability that a parked car has a stereo system is 'p' and it is treated as success, the probability distribution of failures before getting a stereo system for 100 days as follows. Fit a geometric distribution for the following data. No. of failures (x) 0 No. of days (f) 1 2 120 48 20 7 3 3 4 5 6 1 1
The annual rainfall (in inches) in a certain region is normally distributed with mean = 40 and o=4. What is the probability that starting with this year, it will take more than 10 years before a year occurs having a rainfall of more than 50 inches? What assumption are you making?
The probability distribution itself is assumed to be a beta distribution. True or false?
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
Tom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 20 seconds. Suppose Jerry needs 10 seconds to get across the house, and starts 5 second after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught?
The random variable x represents the number of emails a student receives on a day. Assume it has a Poisson distribution with a mean of 14.3 emails. Find the probability that in a random day the student receives 3 emails. Round your answer to four decimal places.

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