Your friend grabs a die at random from a drawer containingtwo 4-sided dice, one 8-sided die, and one 12-sided die. She rolls the die once and reportsthat the result is 5.(a) Make a discrete Bayes table showing the prior, likelihood, and posterior for the type ofdie rolled given the data.(b) What is the prior predictive probability of rolling a 5?

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Answered: Your friend grabs a die at random from…

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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A pair of dice is rolled, and the larger of the two numbers showing is recorded. Find the expected value of this experiment.
A and B are both events in sample space S. P(A) = 0.4 P(B) = 0.3 P(AandB) = 0.2 What's the probability of either A or B occuring?
rudolph's electronics makes sets of christmas lights. on average, 4% of the bulbs produced by theircupplier will be defective. rudolph samples 300 bulbs from each shipment. if more than 3% of the bulbs aredefective, he refuses the shipment. what is the probability that a given shipment will be accepted?
In automotive repair, experience has shown that a rough - running engine can be attributed to the bad ignition wires 35% of the time, bad spark plugs 80% of the time, and both problems 20% of the time. Suppose a mechanic begins to diagnose the problem by checking the spark plugs first and find them to be bad. Given this information, what is the probability that the wires are also bad?
Three pancakes are at your disposal. One has a golden colour on both sides, one has a brown colour on both sides, and one has a golden colour on one side but a brown colour on the other. You randomly choose a pancake and see that one of the sides is brown. Calculate the likelihood that the pancake's opposite side is brown.
Consider a coin tossing game where you win 10 dollars if a head appears on a single toss of a fair coin but you lose 10 dollars if a tail appears. Let the random variable R represent the return on a single toss. What is the variance of R?
In Alpha College, students are required to join at least one school club to get extra-curriculum activities’ marks.Suppose the following table represents the probability distribution function of the number of clubs (?) astudent join: ? 1 2 3 4 ?(? = ?) 0.1 2? ? + 0.1 ? (a) Find the value of ?.(b) What is the probability that a student joins at most two clubs?(c) Find ?(?), ???(?) and ?(?).(d) Suppose the membership fee is $100 per club, with the first enrolled club is free of charge. Let ? bethe total membership fee a student pay. Compute ?(?) and ?(?).(e) What percentage of students are paying not less than $200 for the total membership fee?(f) Write a simple paragraph (about 30 -50 words) to summarize the total membership fee a student payingfor joining school club(s) (based on the results in parts (d) and (e)).
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