1. An individual is randomly selected from a population where 80% of people like peanut butter, 89% likejelly, and 78% like both. Let B be the event that the randomly selected individual likes peanut butter,and J be the event that he or she likes jelly.a.Express each the following events in set notations: B, J, n, U, and complement and find itsprobability.iii. the randomly selected individual likes jelly but not peanut butter?

Given : People likes Butter (B)=0.80People likes Jelly (J)=0.89People likes Butter and Jelly(B…

Answered: An individual is randomly selected from…

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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A couple plan to have three children. There are eight possible arrangements of girls and boys. For example, GGB means the two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely. Write down all eight arrangements of the sexes of three children. What is the probability of any one of these arrangements? Enter your answer to three decimal places. f the ccccccccccccccccc probability: What is the probability that the couple's children are two girls and one boy? Enter your answer to three decimal places. probability: O f6 f Chp no 1 fg ( fg for 43°F Clear f12. 6:37 PM 11/26/2022
Recall from Example 1 that wherever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, four white ones, and two purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT (See Example 1.) She has at most one green one.
Activity: Which events are independent? Determine whether the events are independent or dependent. Then, find the probability. 1. A toy box contains 12 toys, 8 stuffed animals, and 3 board games. Maria randomly chooses 2 toys for the child she is babysitting to play with. What is the probability that she chose 2 stuffed animals as the first two choices? 2. A basket contains 6 apples, 5 bananas, 4 oranges, and 5 guavas. Dominic randomly chooses one piece of fruit, eats it, and chooses another piece of fruit. What is the probability that he chose a banana and then an apple? 3. Nick has 4 black pens, 3 blue pens, and 2 red pens in his school bag. Nick randomly picks two pens out of his school bag. What is the probability that Nick chose two blue pens, if he replaced the first pen back in his pocket before choosing a second pen?
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Decide whether the events are mutually exclusive. Owning a china hutch and owning a calculator Are the events mutually exclusive? O Yes O No
Guadalupe plays a game where she draws one card from a well-shuffled standard deck of 52 cards 2. She wins the game if the card she draws is a King or an Ace Are the two events mutually exclusive? O There is not enough information to determine if the two events are mutually exclusive. O The two events are mutually exclusive. O The two events are not mutually exclusive. What is the probability that Guadalupe wins the game? What is the probability that Guadalupe loses the game?
Kent's Tents has seven green knapsacks and five yellow ones in stock. Curt selects four of them at random. Let X be the number of green knapsacks he selects. Give the probability distribution of X. (Enter your probabilities as fractions.)
K A recent census found that 51.9% of adults are female, 10.9% are divorced, and 5.7% are divorced females. For an adult selected at random, let F be the event that the person is female, and D be the event that the person is divorced. a. Obtain P(F), P(D), and P(F&D). b. Determine P(F or D), and interpret your answer in terms of percentages. c. Find the probability that a randomly selected adult is male.
Kevin is hiring two interns, and all applicants are either enrolled at Reading College (R) or Beekman College (B). He randomly picks two interns from the entire set of applicants. The tree diagram below shows the probabilities of the different outcomes. Based on the diagram, what is the probability of hiring two interns from Reading College? Provide the final answer as a fraction.

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