A five person science club is chosen at random from five girls and fifteen boys. Conditioned on there being at least 1 girl on the club, what is the expected number of boys?

Q: Suppose 40% of the chocolate bars are $100, 10% are worth $200, 30% are wortg $50, and 20% are worth…

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Q: Three light bulbs are chosen at random from 15 bulbs, of which five are defective. What is the…

A: Given Information: To find out the probability that at least one is defective.

Q: Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is…

A: Given:  100 people all toss a hat into a box and then proceed to randomly pick out a hat.  It is…

Q: a batch of 40 component contains 5 which are defective.If a component is drawn at random from the…

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Q: It is found that 10% of watches produced at a particular factory are defective.  If 14 watches made…

A:

Q: A box contains 12 items out of which 4 are defective. A person selects 6 items from the box. Find…

A: Given that there are total 12 items and among them 4 are defective.  So (12-4)=8 are good…

Q: With one method of a procedure called acceptance sampling, a sample of items is randomly selected…

A: Given Data: Let X represent the number of defective units p=1505500=0.0273 n=3   X~ Binomial (3,…

Q: A shipment of fifteen parts, including four that are defective, is sent to an assembly plant. The…

A: Determine the probability of defective as well as not defective parts. Pdefective=415 PNot…

Q: .Suppose that 2 fair dice are rolled and their sum is noted. What is the expected sum?

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

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: Suppose that a coin biased to heads ,P(head)=0.65, is flipped 20 times Find the expected number of…

A: Solution: Let X be the number of heads and n be the number of times a coin is flipped. From the…

Q: With one method of a procedure called acceptance​ sampling, a sample of items is randomly selected…

A: From the given information, a company manufactured 913 CDs, out of which 367 are defective.A random…

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: It is estimated that 10% of a population is left-handed (i.e., their left hand is their dominant,…

A: Given that, 10% of people are left handed. Let 25 people are selected at random from the population.

Q: What is the expected number of red balls when three balls are selected at random, with replacement,…

A: Given that the urn contains 4 red balls and 3 green balls So the total number of balls= (4+3)=7  If…

Q: With one method of a procedure called acceptance sampling, a sample of items is randomly selected…

A: With one method of a procedure called acceptance sampling, a sample of items is randomly selected…

Q: It is found that 9​% of watches produced at a particular factory are defective. If 21 watches made…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: 9. It is known that 3% of people whose luggage is screened at an airport have questionable objects…

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Q: A batch of 25 injection-molded parts contains 5 that have suffered excessive shrinkage. (a) If two…

A: Given information: In a batch of injection molded parts, 5 out of 25 have suffered with excessive…

Q: A batch of 102 containers for frozen orange juice contains 19 that are defective. Two are selected,…

A: As per our guidelines, we are allowed to answer one question per query. Please post next question…

Q: n-sided dice is rolled 400 times and the

A: A standard fair n-sided dice is rolled 400 times and the expected number of 1s is 50. What is the…

Q: In an exam, 15% got an “B” mark, 10% get a “A”, and the other 75% get below that. Six students from…

A: Percentage of student got B marks is 15%. Percentage of student got A marks is 10%. Percentage of…

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: A company selling substandard drugs to developing countries sold 2,000,000 capsules with 60,000 of…

A: Provided information is, a company selling substandard drugs to developing countries sold 2,000,000…

Q: An urn contains four balls numbered 3, 5, 8, and 10. If a person selects a set of two balls at…

A: An urn contains four balls numbered 3, 5, 8, and 10 and a person selects a set of two balls at…

Q: a) 10 men and 10 women randomly sit at a round table. Compute the expected number of men who have at…

A: Given No of men=10 No of woman=10

Q: Suppose that 30% of all college freshmen gain weight. A sample of 20 selected randomly. What is the…

A: The random variable X is the college freshmen gain weight which follows binomial distribution with…

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: Suppose that every member of a group of people toss two dice (one person should not toss more than…

A: For a two dice problem, the sample space is S=1,1,1,2,....,6,5,6,6 There are 36 sample points in the…

Q: in one town, 70% of sdultd have ehalth insurance. What is the probability that 3 adults selected at…

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Q: An urn contains four balls numbered 1, 3, 4, and 6. If a person selects a set of two balls at…

A: Given that there are 4 balls.A person selects two balls. So total number of outcomes=4C2=6So the…

Q: According to a 2010 study conducted by the Toronto-based social media analytics firmSysomos, 71% of…

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Q: It is stated by the IRS that 71% of filed returns receive a refund.  If you were to sample 50…

A: According to the given question, it is stated by the IRS that 71% of filed returns receive a refund.…

Q: Assume that the drawer contains 8 coins: 5 quarters, 2 dimes, and 1 nickels. One coin is randomly…

A: The probability of selecting quarter is 5/8The probability of selecting dime is 2/8The probability…

Q: Of the 170 airports available for public in France, 102 are paved. For a simple random sample of a…

A: Given: x= 102 N = 170. Thus, p = x/N = 102/170 = 0.6 ∴ q = 1-p = 1-0.6 = 0.4. Let us suppose that…

Q: There are 5 coins in a bag: 3 weighted coins with Pr[H]=2/7 and 2 fair coins. One is chosen at…

A: There are 5 coins out of which 3 are weighed and 2 are fair coins. The probability that the weighted…

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: A highway camera films cars daily as they pass by. Over a two-month period, the camera shows that…

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Q: A box contains 4 white and 5 red marbles. Iwo marbles are drawn successively from the box without…

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Q: a sporting goods store received an order of 64 baseball caps, of which 16 were green. if 1 of the 64…

A: a sporting goods store received an order of 64 baseball caps, of which 16 were green. if 1 of the 64…

Q: When Tim Hortons used physical cups for their Roll up the Rim contest (before switching over to…

A: Here p( win ) = 1/6 =p X = no. of trial required until first success.  Follows geometric…

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 box contains 8 items of which 2 are defective. A man selects 3 items at random. Find the expected…

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Q: Suppose that it is known that 2% of the items produced by a particular machine are defective in some…

A:

Q: What is the expected number of getting the sum of 3 dice rolls with 7 sides is an odd number?

A: The Expected value of getting the sum odd number for one dice is given by:…

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

A:

Q: What is the expected number of red marbles?

A: Here Given  Total No of BAG=3+4+5=12 No of Red marbles=3

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.