A math class consists of 33 students, 14 female and 19 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females?[ ] (b) What is the probability that a female is selected, then two males?[ ](c) What is the probability that two females are selected, then one male?[ ](d) What is the probability that three males are selected?[ ](e) What is the probability that three females are selected?[ ]Question Help: Video Post to forum[Submit Question]

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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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The sex ratio of newborn human infants is about 105 males to 100 females. If four infants are chosen at random, what is the probability that (a) two are male and two are female? (b) all four are male? (c) all four are of the same sex?
A foreign student club lists as its members 3 Canadians, 2 Japanese, 4 Italians, and 3 Germans. If a committee of 4 is selected at random, find the probability that (a) all nationalities are represented; (b) all nationalities except the Italians are represented. (Final answer must be rounded off to 5 decimal places)
Stay in school: In a recent school year in the state of Washington, there were 312,000 high school students. Of these,151,000 were girls and 161,000 were boys. Among the girls, 45,700 dropped out of school, and among the boys,10,200 dropped out. A student is chosen at random. Round the answers to four decimal places. (a) What is the probability that the student is female? (b) What is the probability that the student dropped out? (c) What is the probability that the student is female and dropped out? (d) Given that the student is female, what is the probability that she dropped out? (e) Given that the student dropped out, what is the probability that the student is female?
A math class consists of 39 students, 16 female and 23 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males?(c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
You have a box of chocolates that contains 14 pieces of which:5 are solid chocolate,4 are filled with cashews, and5 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.
Question: In a survey of 100 students, 60 students passed in Mathematics, 70 students passed in Science, and 40 students passed in both subjects. What is the probability that a randomly selected student passed in Mathematics or Science?
An urn contains seven red marbles and six green marbles. Four marbles are selected (all at once).(a) What is the probability that you get all reds?(b) What is the probability that you get one red and three greens?(c) What is the probability that you get at least one of each color?
Four hundred people apply for three jobs. One hundred sixty of the applicants are women. (a) If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.) (b) If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.)(c) If three people are selected at random, what is the probability that one is a woman? (Round your answer to six decimal places.)(d) If three people are selected at random, what is the probability that none is a woman? (Round your answer to six decimal places.)
A hand of 8 cards is chosen at random from an ordinary deck of 52 playing cards without replacement. (a) What is the probability that the hand does not have any hearts? (b) What is the probability that the hand consists of two hearts, two diamonds, two clubs, and two spades?
You have a box of chocolates that contains 22 pieces of which:9 are solid chocolate,7 are filled with cashews, and6 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a four or five. (b) Compute the probability of randomly selecting a four or five or six. (c) Compute the probability of randomly selecting a nine or spade.
According to a survey, 25% of residents of a country 25 years old or older had earned at least a bachelor's degree. You are performing a study and would like at least 10 people in the study to have earned at least a bachelor's degree. (a) How many residents of the country 25 years old or older do you expect to randomly select? (b) How many residents of the country 25 years old or older do you have to randomly select to have a probability 0.96 that the sample contains at least 10 who have earned at least a bachelor's degree? (a) The number of randomly selected residents is 40. (Round up to the nearest integer.) (b) The number of randomly selected residents, with a probability 0.96 containing at least 10 who have earned at least a bachelor's degree, is . (Round up to the nearest integer.)

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