A probability experiment is conducted in which the sample space of the experiment is (S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15). Let event A = {4,5,6,7) and event B={10, 11, 12). Assume that each outcome is equally likely. List the outcomes in AUB and find P(AUB). A. (5, 6, 7, 8, 10, 11) P(AUB) - B. (4, 5, 6, 7, 10, 11, 12) P(AUB)=13 C. (7,8) P(AUB) - D. (5, 6, 7, 8, 9, 9, 10, 11) P(AUB) =

A probability experiment is conducted in which the sample space of the experiment is (S=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15). Let event A = {4,5,6,7) and event B={10, 11, 12). Assume that each outcome is equally likely. List the outcomes in AUB and find P(AUB). A. (5, 6, 7, 8, 10, 11) P(AUB) - B. (4, 5, 6, 7, 10, 11, 12) P(AUB)=13 C. (7,8) P(AUB) - D. (5, 6, 7, 8, 9, 9, 10, 11) P(AUB) =

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...

See similar textbooks

Similar questions

Find the probability a randomly selected individual has attended 0 -2 years or is Female. [ Select ] When selecting two individuals with replacement, what is the probability both are Male? [ Select ] Find the conditional probability of selecting an individual with 0-2 years of college given the individual is Male. [ Select ]
What is the probability of randomly selecting two red marbles, one green marble, and three blue marbles, in that order, from a bag containing 10 red marbles, 5 green marbles, and 15 blue marbles, if the marbles are drawn without replacement?
There are two boxes. In each box there are 4 cards with a different number printed on it. The four cards have been numbered as 1,2,3,4 in each box. Two cards are drawn random from each box. The random variable X represents the difference between the number on the card from box 1 minus the number on the card from box 2.a) Find the mean of this probability distribution. (i.e. Find E[X] )b) Find the variance and standard deviation of this probability distribution.(i.e. Find V[X] and SD[X])The random variables M and W are defined as follows:M = X+5 and W = (1/2)X+5c) Find E[M] and E[W].d) Find V[M] and V[W].e) Mary and William play a game using the cards in the above boxes. Randomly two cards are drawn, and Mary records his score using the random variable M and William uses the random variable W. They repeat this for a large number of times and compare their scores. Comment on any likely differences or similarities of their scores.
A poll reported that 63% of adults were satisfied with the job the major airlines were doing. Suppose 25 adults are selected at random and the number who are satisfied is recorded. -Find and interpret the probability that exactly 13 of them are satisfied with the airlines. -Find and interpret the probability that between 11 and 14 of them, inclusive, are satisfied with the airlines. -Would it be unusual to find more than 22 who are satisfied with the job the major airlines were doing?
Two tetrahedral dice, each with faces labelled 1, 2, 3 and 4, are thrown and the random variable X represents the sum of the numbers shown on the dice. li) Find the probability distribution of X. (ii) Illustrate the distribution and describe the shape of the distribution. (iii) What is the probability that any throw of the dice results in a value of X which is an odd number?
Number of mobile users in a particular country, 40% prefer Android and 60% prefer iOS, of those mobile users who prefer Android, 30% are males and of those who prefer iOS, 40% are male. What is the probability that a randomly selected mobile user prefers Android, given that the user selected is a male?
An um contains 2 red balls, 2 green balls, and 8 yellow balls. Three balls are drawn at random, with replacement. What is the probability of drawing two yellow balls in a row, followed by a red ball? Answers should be decimals correct to three decimal places QUESTION S An um contains 2 red balls, 2 green balls, and 7 yellow balls Three bats are drawn at random, without replacement. What is the probability of drawing two yellow balls in a row, followed by a red ball? Answers should be decimals correct to three decimal places
A lot contains 20 articles. The probability that the lot contains exactly two defective articles is 0.4 and the probability that it contains exactly 3 defective articles is 0.6. Articles are drawn from the lot at random one by one without replacement and are tested till all defective articles are found. Then find the probability that the testing procedure ends at the twelfth testing.
The items produced by a manufacturer have a probability equal to 0.3 of being defective. For a random sample of 10 items, the probability that at most 3 items are defective as given by R is 1-pbinom(3,10,0.3) pbinom (10,3,0.03) pbinom(3,10,0.3) dbinom(3,10,0.3)
If a person rolls a six-sided die and then draws a playing card and checks its color, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the die outcomes and B, R for the card outcomes. S = { } A survey of 500 randomly selected high school students determined that 480 play organized sports. What is the probability that a randomly selected high school student plays organized sports? P(plays organized sports) =
A lot contains 20 articles. The probability that the lot contains exactly two defective articles is 0.4 and the probability that it contains exactly 3 defective articles is 0.6. Articles are drawn from the lot at random one by one without replacement and are tested till all defective articles are found. Then find the probability that the testing procedure ends at the twelfth testing.