# Probability Solved Problems By the means of Probability formulas, we measure all the possible different types of events that can occur.If you're seeing this message, it means we're having trouble loading external resources on our website.Two Expected Coverage E(X) = 0 × 0.45 1 × 0.3 2 × 0.15 3 × 0.1 = 0.9 Correct calculation of expected number of cancellations in a oneweek interval. P(X95) = 0.05 Solves problem (a) (b) (i) (b) (ii) Achievement We are assuming that the attendance is normally distributed.

In this section of quantitative aptitude, we will learn about the concept of probability keeping in mind the type and level, of questions that are asked in all the crucial competitive exams.

When all of the simple events have the same probability of occurring, the probability of whichever event, A, is defined as the quotient between the number of favorable outcomes and the number of possible outcomes.

It tells us what the weight of the evidence is in favor of a given hypothesis. It can be defined mathematically as The Schwarz criterion is one of the easiest ways to calculate rough approximation of the Bayes Factor. One of the most common interpretations is this one—first proposed by Harold Jeffereys (1961) and slightly modified by Lee and Wagenmakers in 2013: Kass & Raftery, Bayes Factors. 773-795 Retrieved from on March 31, 2018 Lavine & Schervish.

Journal of the American Statistical Association Vol. Bayes Factors: What They Are and What They Are Not.

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Probability is a fundamental concept in math and statistics.We will discuss different probability word problems here.The problems in probability that have to be deduced in mathematical form from the given statements in English are the probability word problems to be solved. We have 40 white candies, 24 green ones, 12 red ones, 24 yellow ones and 20 blue ones. Retrieved from March 31, 2018 Felix S, What does a B-factor feel like? With Chegg Study, you can get step-by-step solutions to your questions from an expert in the field. - Includes many concepts such as sample size, hypothesis tests, or logistic regression, explained by Stephanie Glen, founder of Statistics How To. Retrieved from https:// on March 31, 2018 ------------------------------------------------------------------------------ Need help with a homework or test question? For one tourist: E(levy) = 0.2655 × 5 0.6157 × 8 0.1189 × 12 = 7.6799 E(levy2)= 0.2655 × 52 0.6157 × 82 0.1189 × 122 = 63.1639 SD(levy) = √(63.1639 – 7.67992) = 4.1830 At least two correct calculations of expected value and variance/standard deviation for individual levy or the total levies calculated The variation of the levies is taken into account when determining whether the council should build the reef, by considering the size of the standard deviation of the total levies.Merit Excellence For all 12000 tourists: E(total levies) = 12000 × 7.6799 = 158.80 SD (total levies) = √(12000) × 4.1830 = 8.22 As the expected total is 158.80 with a low standard deviation of 8.22 it is unlikely that the required 0 000 can be reached; so the plan should not go ahead. developing a chain of logical reasoning and also, where appropriate, using contextual knowledge to reflect on the answer.Evidence Statement One Expected Coverage Normal distribution, µ = 782, σ = 158 (a) (i) P(X 600) = 0.1189 (b) Probabilities for the different levy groups calculated.It can be interpreted as a measure of the strength of evidence in favor of one theory among two competing theories. That’s because the Bayes factor gives us a way to evaluate the data in favor of a null hypothesis, and to use external information to do so.

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