An urn has 14 balls that are identical except that 6 are white and 8 are red. A sample of 7 is selected randomly without replacement. What is the probability that exactly 5 are white and 2 are red? What is the probability that at least 5 of the balls are white?

Q: contains 2 red, 5 green, 6 blue, and 5 yellow marbles. If a single marble is chosen at random from…

A: So by using definition of probability we can solve given problem-

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: suppose that 10% of people are left handed. if 9 people are selected at random, what is the…

A: The random variable is left handed people. It follows binomial distribution. The sample size is 9.…

Q: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is the…

A:

Q: A poll is given showing 50% are in favor of a new building project. If 9 people are chosen at random…

A: Given data, p=0.50 n=9 P(X=3)=?

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

Q: if 14 jurors are randomly selected from a population where 44% are minorities, what is the…

A: Obtain the probability that 2 or fewer jurors will be minorities. The probability that 2 or fewer…

Q: A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of…

A:

Q: The mathematics faculty at a certain college consists of 10 full professors, 6 associate professors,…

A: From the given information, thee are  10 full professors 6 associate professors 12 assistant…

Q: A bag contains 10 red marbles, 6 blue marbles, and 4 green marbles. If three marbles are drawn…

A: 10 red marbles 6 blue marbles 4 green marbles ____________________ 20 total marbles   select 3…

Q: A poll is given, showing 30% are in favor of a new building project. If 8 people are chosen at…

A: The information provided in the question are as follows :- Proportion of people in favor of a new…

Q: In a class of 10 students there are 7 boys and 3 girls.. If a committee of 5 students is selected…

A:

Q: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks…

A:

Q: Eight people in the class are left-handed . If there are 32 students in the class, what is the…

A:

Q: A batch of parts contains 80 parts from Batangas supplier of engine and 120 parts from a supplier of…

A: We know that, Probability, p= X/N Here X= 80 and N= 120 p= 80/120  p= 0.67 and q= 1-p q= 1-0.67 q=…

Q: A poll is given, showing 50% are in favor of a new building project. If 9 people are chosen at…

A:

Q: A small voting district has 90 female voters and 80 male voters. A random sample of 10 voters is…

A: Given, No. of Female voters = 90 No. of male voters = 80 Total voters = 90+80 = 170 Random sample of…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: There are 13 Women and 10 men. Five are chosen at random to attend a class. What is the probability…

A: Given that  There are 13 Women and 10 men. 10 men +13( women)=23  5 chose

Q: There are 100 balls in a hat. 25 of them are red and 75 of them are black. If one ball is drawn…

A: Answer: From the given data, Total number of balls in a hat = 100 Number of red balls = 25 Number of…

Q: A jar has 6 orange marbles and 10 red marbles. What is the probability of drawing two orange marbles…

A: We have given that  A jar has 6 orange marbles and 10 red marbles. Total number of marbles = 16

Q: A bag of m&M's has 3 red, 6 green, 8 blue and 7 yellow m&M's  What is the probability of randomly…

A: From the provided information, A bag of M&M's has 3 red, 6 green, 8 blue and 7 yellow M&M's.…

Q: A bag contains five red marbles and eight white marbles. If a sample of three marbles contains at…

A: Solution-:Given: A bag contains 5 red marbles and 8 white marbles.If a sample of three marbles…

Q: A class consists of 10 male and 30 female students. Of the 30 females, only 5 did not have pet. Six…

A: The probability of an event E  is defined as the ratio of favourable number of outcomes to the total…

Q: An urn contains 7 white balls, 4 red balls, and 4 blue balls. What is the probability of selecting 9…

A: Given that  An urn contains White balls = 7 Red balls = 4 Blue balls = 4 Total balls in urn = 7 + 4…

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: I have 1 grey female, 5 grey male, 2 white female, and 2 white male mice. A biologist chooses 2…

A: From the given information, there are 1 grey female, 5 grey male, 2 white female and 2 white male…

Q: Consider a box that contains 4 marbles of different colors (red, yellow, blue and green.) If two…

A: Given that: Total number of marbles in a box = 4  There are 1 red marble, 1 yellow marble. 1 blue…

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Given,n=8p=0.55X=no.of people favor the new building projectX~Binomial (n=8 , p=0.55)P(X=x)=nx px…

Q: A bag contains 5 red smileys, 6 yellow smileys and 3 green smileys. If two smileys are picked at…

A:

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: Four cards are chosen from a standard deck of 5 playing cards with replacement. What is the…

A: Solution-: Four cards are chosen from a standard deck of 52 playing cards with replacement. What is…

Q: Suppose 24 % citizens of a country want to join army.Based on a random sample of six citizens, what…

A:

Q: Suppose that a company owns 500 computers. Each computer has an 11% probability of not working.…

A: It is given that n =19.

Q: Of 350 workers surveyed in an industrial community, 65 worked in the lumber yard and 30 work in the…

A: Total number of worker surveyed in community is 350. The number of worker for yard is 65. The number…

Q: At a large university, 35 % of the students own a tablet. If 7 students are randomly selected, what…

A: From the provided information, 35 % of the students own a tablet that is p = 0.35 Sample size (n) =…

Q: A clothes hamper contains 8 white socks and 11 black socks. Two socks are selected randomly without…

A:

Q: What is the probability of randomly selecting all seniors to form a committee of two from a pool of…

A: We have to find the probability of randomly selecting all seniors to form a committee of two from a…

Q: Find the probability that a randomly selected group of four children will contain exactly three…

A: Given that  Success of probability p =1/2=0.5 Number of trials n=4 X~binomial ( n ,p)

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

Q: A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks ... If 5 rocks are selected…

A: Given that  Shipment contains rocks  igneous = 10 Sedimentary = 8 Metamorphic = 8 Total rocks = 26…