Five balls numbered from 1 to 5 are placed into a bag.Some are grey and some are white.The ball numbered 1 is grey.The balls numbered 2, 3, 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 of12345X.Let not X be the event that the selected ball is not white, and let P (not X) be theprobability of not X.4(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 theevent.AaOutcomesEventProbability1 2 3 4 5XOOOOOP(X) =not XP (not X) =(b) Subtract.COO1- P(x) =(c) Select the answer that makes the sentence true.1-P(X) is the same as (Choose one)00SC.X?&圖

An event is an outcome or a set of outcomes of a random experiment to which a probability is…

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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Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing two white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red.
Suppose that there is a white urn containing three white balls and one red ball and there is a red urn containing two white balls and four red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red.
A golf ball is selected at random from a golf bag. If the golf bag contains 7 green balls, 6 yellow balls, and 6 black balls, find the probability of the following event. The golf ball is green or yellow. The probability that the golf ball is green or yellow is (Type an integer or a decimal rounded to three decimal places as needed.)
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.
A store has 12 cars for sale. 5 are new, 4 are accident cars and 3 are used but in good condition. If 3 cars are selected at random for shipping to a customer. Let X be the number of new cars in the shipment. If a customer wants one new car, one accident car and one used car. In how many ways can this selection be done? Find the probability function for X.
A box contains 5 white balls and 2 red balls. If three balls are drawn from one box, find the probability that a. One ball is white b. No ball is white c. At least one ball is white d. At most one ball is white
A golf ball is selected at random from a golf bag. If the golf bag contains 7 type A balls, 8 type B balls, and 5 type C balls, find the probability that the golf ball is not a type A ball. The probability that the golf ball is not a type A ball is (Type an integer or decimal rounded to three decimal places as needed.)
Find the probability that when a couple has five children, at least one of them is a girl. (Assume that boys and girls are equally likely.) The probability is ? that at least one of the five children is a girl.
A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?
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
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being red is?

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