Five balls numbered from 1 to 5 are placed into a bag.Some are grey and some are white.The balls numbered 2 and 3 are grey.The balls numbered 1, 4, and 5 are white.A ball is selected at random.Let X be the event that the selected ball is white, and let P (X) be the probability ofX.Let not X be the event that the selected ball is not white, and let P (not X) be theprobability of not X.(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.EventXnot XOutcomes1 2 3 4 5UUUU0□□□ProbabilityP(X) =P (not X) =0|0(1 2 3 4 5Ś (b) Subtract.1-P(X) =010X(c) Select the answer that makes the sentence true.1-P(X) is the same as (Choose one)P(X)P (not X)1-P (not X)None of the aboveŚŚ

The objective of the question is to determine the probability of selecting a white ball (event X)…

Answered: Five balls numbered from 1 to 5 are…

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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Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the…
Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red and 2 blue balls, bowl Y has 1 red and 3 blue balls, and bowl Z has 3 red and 1 blue ball. A bowl is chosen at random and a ball is drawn from it. What is the probability that the ball was drawn from bowl X given the ball was blue?
Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a random sample of n=20 that have a microwave oven. Find the probability that X is at most 18 and at least 16.
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You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
An hat contains 169 slips of paper. 27 of these are Blue; the rest are Pink. Two slips are selected at random from the hat. If the selection is made with replacement (the first slip is put back into the hat before drawing the second slip), the probability that both slips are Blue is

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