A box contains 4 red and 7 green marbles. If 10 marbles are drawn without replacement, what is the expected number of red marbles?

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p)  p = 1 -.26-.33 = 0.41 ____________________________

Q: A 5-card hand is dealt from a perfectly shuffled deck so that each 5-card hand is equally likely.…

A: Let X denote the expected number of hearts in 5 card hand. Form probability distribution for the…

Q: A manufacturing machine has a 1% defect rate. If 7 items are chosen at random, what is the…

A: X~ Binomial(n , p) Formula:   P(X= x) = nxpx(1-p)n-x ; x = 0,1,2,..,n

Q: A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the…

A: Given that, A manufacturing machine has a 9% defect rate. Sample size = 5

Q: Determine the probability of drawing 5 black cards in a row (with replacement) from a standard deck.

A:

Q: In a highly academic suburban school system, 45% of the girls and 40% of the boys cake advanced…

A: Given that Girls enrolled in the high schools of the district = 2200 Boys enrolled in the high…

Q: A manufacturing machine has a 6% defect rate. If 9 items are chosen at random, what is the…

A:

Q: A bag of 22 candy bars contains 9 kitkats. 4 bars are selected at random. What is the probability…

A: In question, Given that a bag of 22 candy bars contains 9 kitkats, 4 bara randomly selected. Then…

Q: A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good…

A: According to the provided data, there are a total of 100 coils out of which 12 are defective and 88…

Q: A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the…

A: A manufacturing machine has a 5% defect rate.If 4 items are chosen at random, what is the…

Q: from a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men…

A: We have given that 3 men and 4 men. Let p be the probability of men  Let X be the number of men.…

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

A:

Q: A manufacturing machine has a 9% defect rate. if 8 items are chosen at random, what is the…

A: Given Information: p=9%=0.09n=8

Q: A manufacturing machine has a 3% defect rate. If 3 items are chosen at random, what is the…

A: Given information- We have given that a manufacturing machine has 3% defect rate. Probability of…

Q: A manufacturing machine has a 4% defect rate. If 8 items are chosen at random, what is the…

A:

Q: Suppose that a course has 3 sections with 50, 70, and 80 students, respectively. We random pick one…

A:

Q: What is the probability of drawing 3 white and 4 green balls from a bag that contains 5 white and 6…

A:

Q: In a family with 2 children, excluding multiple births and assuming that a boy is as likely as a…

A: Let B=Boy and G=Girl Possible number of outcomes for two children are {BB, BG, GB, GG} Let x= number…

Q: A manufacturing machine has a 10% defect rate. If 7 items are chosen at random, what is the…

A: From the provided information, A manufacturing company has 10% defect rate that is p = 0.10 Sample…

Q: A box contains 4 point contact diodes and 6 alloy junction diodes. What is the probability that 3…

A:

Q: A quiz has 10 multiple-choice questions. Each has 4-options, so a 25% chance of guessing correctly.…

A: According to the provide information, A quiz has 10 multiple-choice questions. Each has 4-options,…

Q: If a manufacturing machine gas a 5% defect rate and 9 items are chosen randomly what is the…

A: We have to use Binomial distribution. If x follows Binomial distribution with parameter n and p then…

Q: From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men…

A: Introduction:The probability model for an experiment, where k successes are obtained in n trials…

Q: Find the expected number of girls in a family of 3 children.

A: Let X : Number of girls in a family of three children. We have to find the expected value i.e. EX…

Q: A drum contains 4 black balls, 5 red balls and 6 green balls. If 5 balls are selected at random,…

A: Farmula used  nCr=n!/(r!(n-r)!)  r!=r(r-1)(r-2)x....x3x2x1

Q: A very large pool consists of 22% Democrats, 39% Republicans, and the rest independents. What is the…

A: Given, P(Democrats) = 0.22, P(Republicans) = 0.39, P(independent) = 1-0.22-0.39 = 0.39

Q: Suppose a box contains 6 marbles and 4 red marbles. What is the probability of picking two…

A:

Q: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: Suppose 8 quarters, 5 dimes, 7 nickels, and 8 pennies are in a box. One coin is selected at random.…

A: The solution of above question is written below.

Q: What is the probability of drawing 3 black cards in a row with replacement? With replacement means…

A: Obtain the probability of drawing 3 black cards in a row with replacement.   The probability of…

Q: Suppose that from a standard deck, you draw three cards without replacement. What is the expected…

A:

Q: A bag has three times as many green marbles as there are blue. If you take 8 marbles from this bag,…

A: In question,  Given that a bag has three times as many green marbles as there are blue marbles, 8…

Q: A conference is attended by 10 social workers and 4 auditors. If four different participants are…

A: In the given problem we have given that, a conference is attended by 10 social workers and 4…

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: Given information- We have given a problem of binomial distribution. Probability of having a defect,…

Q: Approximately 10% of all people are left-handed.  If you select a group of 27 people, what is the…

A: Given: Sample size (n) = 27 p (left-handed) = 10% = 0.10 Let "X" be the people who are left handed.

Q: In a card game, a deck has 10 green cards, 6 red cards, 3 blue cards, and a purple card. Players…

A: Solution

Q: A manufacturing machine has a 9% defect rate. If 6 items are chosen at random, what is the…

A:

Q: It is known that 70% of adult workers have a high school diploma.  If a random sample of 25 adult…

A:

Q: A box contains 5 red and 4 green marbles. If 6 marbles are drawn without replacement, what is the…

A: We have given that Number of success (k) = 5 Population size (N) = 5+4 = 9 Sample size (n)  = 6

Q: A manufacturing machine has a 3% defect rate. If 4 items are chosen at random, what is the…

A: Here, X denotes that the item is defective, which follows binomial distribution with n=4 and p=0.03.…

Q: In a 2 colour spinner, the probability of spinning red is 4 times the probability of spinning green.…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: What is the expected number of times you would have to spin a roulette wheel to win 3 times in a row…

A: Given, A roulette wheel is spinned. So, The probability to win on any number is given here as: 138…

Q: A manufacturing machine has a 2% defect rate. If 7 items are chosen at random, what is the…

A: Let us denote  X=the number of items that are defective n=number of trials=7 p=probability of…

Q: A kissed frog has a 70% chance of turning into a prince, while a kissed toad has only a 20% chance…

A:

Q: FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Given dataNo of ducks = 5Probability of an infected duck p = 0.3Using Binomial theoremProbability of…

Q: Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected…

A: Let the random variable X represents the number of infected ducks.It is given that the probability…

Q: A manufacturing machine has a 2% defect rate. If 9 items are chosen at random, what is the…

A: Binomial distribution is given by

Q: A very large pool consists of 23% Democrats, 35% Republicans, and the rest independents. What is the…

A: