2. a) From an urn containing 8 red balls and 6 green balls, six balls are taken without replacement. Determine the probability that 4 of the balls are red and 2 of them are green. b) Give the probability if the same experiment is performed with replacement, and the same outcome is obtained.

Q: 2. Suppose that 60% of all California motorists are insured. Find the probability that more that 55%…

A: Proportion of motorists that are insured , p0 = 0.6 Here the sample size, n = 100 motorists  Here,…

Q: Suppose that a pond contains 50 fish of which 30 are redfish. If we catch 10  with replacement,…

A: 30 of 50 fishes in the pond is redfish. So, probabiility of getting a redfish = 30/50 = 0.6. Hence…

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: Suppose that 11% of people are left handed. If 8 people are selected at random, what is the…

A: Here it is given that 11% of people are left handed. We need to find the probability of exactly 2…

Q: If a bag contains errors in 4 red, 5 blue and 4 green and 2 yellow balls. A kid randomly selects 6…

A: Given, a bag contains errors in 4 red, 5 blue and 4 green, and 2 yellow balls To find the…

Q: Suppose that the International University of Science and Management has 1100 female students and 900…

A: The probability that exactly 8 of the selected students are female is obtained below: From the given…

Q: Suppose that 75% of people in a certain metropolitan area live in the city and 25% of the people…

A:

Q: consider that 2% of engines produced by a factory need to be recalled. If 5 engines produced by it…

A:

Q: An urn contains 10 red, 3 Black and 5 orange balls. If one ball is selected at random, what is the…

A: The solution to the question is explained below.

Q: A bag contains 10 balls consisting of 4 green, 3 blue and 3 red balls. If two balls are chosen…

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: 2. Suppose that 5 percent of men and 0.25 percent of women are color-blind. A color-blind person is…

A: Probability is the chance of occurrence of observation can involve in the sample or event with equal…

Q: 3. Suppose a survey is taken of 30 managers of Whole Foods Market stores and it is determined that…

A:

Q: Among a group of 28 stocks, suppose that 14 will perform above average and the other 14 will perform…

A:

Q: 7. Suppose 12% of graduates of the Architectural Engineering Technology program take a job outside…

A: This is a Simple Binomial Probability distribution with n=2 and p=0.12

Q: 1) Suppose that a bag contains one white chip and two red chips. Two chips are going to be selected…

A: The total number of chips in the bag is 3. The number of white chips is 1.

Q: (a) Suppose that 17 lightbulbs in a box of 65 lightbulbs are broken and that 3 are selected at…

A: Solution-: Let, X=Number of lightbulbs broken in the sample Given: N=65,M=17, n=3 We find, (a)…

Q: From a bag containing 6 white balls, 3 black balls, and 13 red balls, two balls are drawn at random.…

A: To find: The probability that both the ball being red. Given: There are 6 white balls, 3 black…

Q: Suppose a store accepts VISA and Mastercard only. If 40% of customers carry a VISA card, 70% carry a…

A: If A and B denotes two events, then the probability that both events happen simultaneously, can be…

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: 3. Suppose eight coins are tossed simultaneously. If the random variable X denotes the number of…

A: I solved exactly first question because of bartleby policy if you want more please upload…

Q: 3. If 20% of the bolts produced by a machine are defective, determine the probability that out of 4…

A: Solution here  P = defective bolts              =20%             =20100 = 15         q =…

Q: none of the rolls show 1 spot?

A: A die is rolled three times. on each die rolling each spot = 16

Q: 2) Suppose that 6 balls will be randomly put into 4 urns (with each ball being equally likely to be…

A: Given,n=6p=14X=no.of balls put into the urnsX~Binomial(n=6,  p=14)P(X=x)=cxn px(1-p)n-x  ;…

Q: It has been determined that 65% of all Canadians have brown eyes and that 11% of Canadians are…

A: From the given information, The percentage of Canadians have brown eyes is 65%. The percentage of…

Q: 1. Obtain the probability of adding up six points if we toss three distinct dice.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Suppose box A contains 2 red balls and 3 blue balls and box B contains 4 red balls and 3 blue ball.…

A:

Q: Suppose that 30% of the employees in a large factory are smokers. What is the probability that there…

A: Obtain the probability that there will be exactly two smokers in a randomly chosen five-person work…

Q: An urn has 10 balls that are identical except that 3 are white and 7 are red. A sample of 4 is…

A:

Q: What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: Given, 50 boxes are labeled as 1 to 50 and each box has 1 red and 1 blue ball To find the…

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: 8. It is estimated that 80% of people in Cyprus take paracetamol for headache treatment. Out of 5…

A: The Binomial probability mass function formula is stated as below                          P(X=x)…

Q: a. If the probability of seeing a ship from the beach in 1 hour is 0.35, what is the probability of…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: If 20% of the bolts produced by a machine are defective, determine the probability that out of 4…

A:

Q: A die is rolled three times. What is the chance that--- not all the rolls show 2 or more spots?

A: Here use binomial distribution because  Each trial is independent  Finite number of trial  There…

Q: Given that a biased dice, where each of number 1jand number 3 appears half times as often as any…

A: Given problem Given that We need to find the probability that an even number appears when we roll…

Q: An urn has 13 balls that are identical except that 7 are white and 6 are red. A sample of 8 is…

A:

Q: An urn has 9 balls that are identical except that 3 are white and 6 are red. A sample of 4 is…

A: We can pick 2 white balls from 3 white balls in 3C2 =3 ways  We can pick 2 red balls from 6 red…

Q: What is the probability of selecting a white chip from the bag? What is the probability of selecting…

A: (1) A bag contains one white chip and two red chips. Two chips are to be selected at random from…

Q: 2. A jar contains 12 marbles: 4 red, 5 blue, and 3 orange. If you pull 3 marbles without…

A: The total number of marbles is 12 Red marbles=4 Blue marbles=5 Orange marbles=3 There 3 marbles are…

Q: Suppose an urn contains 8 red and 4 white balls. Draw two balls without replacement. What is the…

A: Solution: From the given information, an urn contains 8 red and 4 white balls. Total number of balls…

Q: An urn contains 6 white and 9 black balls. If 4 balls are to be randomly selected without…

A:

Q: 2. A container includes six components from supplier A, seven from supplier B, and eight from…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: and 7 fed Dals, the second urn has 2 blue balls and 8 red balls, and the third urn has 5 blue balls…

A: Answer: If we draw a red from the first urn then it is sure that we will draw at least 2 balls…

Q: A bag of 31 tulip bulbs contains 13 red tulip​ bulbs, 8 yellow tulip​ bulbs, and 10 purple tulip…

A: Solution

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.