11.5 pointsSelect all the assumption of the binomial distributions:Each elementary event is classified into one of two mutually exclusive and collectively exhaustive categories.The outcome of a particular trial is independent of the outcome on any other trial.The data are selected without replacement from a finite (small) populationThe probability of success changes from trial to trial because the data are selected without replacement from a finite (small) populationThe probabilities of an outcome are constant from trial to trial.

Incorrect Assumptions:c. The data are selected without replacement from a finite (small) population.…

Answered: 1 1.5 points Select all the assumption…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Binomial Distribution
Compute the z-scores and the population probabilities for these normally distributed events: a) mx = 96, sx = 14, z = _______ P(x < 81) = _____________ b) mx = 0.42, sx = 0.11, z = _______ P(x > 0.60) = _____________ c) mx = 1250, sx = 850, z = _______ P(x > 650) = _____________ d) mx = 9.0, sx = 3.4, z = _______ P(x < 11.8) = _____________
Quantitative Methods 1 - Question 3 - Multiple Choice
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)
CONDITIONAL AND MARGINAL PROBABILITY - Statistics and probability 1) A study of the behavior of a large number of drug addicts, after treatment for drug abuse, suggests that the probability of being convicted in a period not exceeding two years after of treatment, may depend on the education of the offender. The proportions of the total number of cases that fall into four education/conviction categories are shown in the table below. (IMG 1) Suppose an offender is selected from the treatment program. Here we have the events of interest; A = {offender has 10 years or more of education} B = {offender is convicted no more than two years after completing treatment}. Determine: P(A), P(B), P(A ∩ B), P(A ∪ B), P(A ∩ B)^c, P(A|B) and P(B|A). Interpret the probability.
QUESTION: What is the conditional probability that a repair takes at least 10 hours, given that its duration exceeds 9 hours?
What is the probability of getting at least a 3 star review, P(x≥3) ?
A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 5.41% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive = The probability that, given a positive result, the person has disease X =
ง C Q. No.4. (a) An urn contains 10 white and 3 black balls. Another urn contains 3 white and 5 black balls. Two balls are transferred from first urn and placed in the second and then one ball is taken from the latter. What is the probability that it is a white ball? (b) Differentiate between Poisson distribution and Poisson process. Give examples in each case.
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 86 minutes and a maximum of 100 minutes. What is the probability that a flight is less than 87 minutes? A. 1.00 B. 0.04 C. 0.07 D. 0.00
Poisson Distribution: (Please answer as soon as possible) A new automated production process averages 3.3 breakdowns per day. Because of the cost associated with a breakdown, management is concerned about the possibility of having 4 or more breakdowns during a day. Assume that breakdowns occur randomly, that the probability of a breakdown is the same for any two time intervals of equal length, and that breakdowns in one period are independent of breakdowns in other periods. What is the probability of having 4 or more breakdowns during a day? (to 4 decimals)
answers to part 3 (a to d)

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