An urn contains four balls numbered 1, 2, 5, and 7. If a person selects a set of two balls at random, what is the expected value of the product of the numbers on the balls? (Your answer should be a decimal rounded to 2 decimal places)

Q: 6. If the expected value of the weight of a randomly selected person in an office building is 175,…

A: Solution: 6. Let X be the weight. From the given information, E(X)=175 and n=5.

Q: In a gambling game, on every play, there is a 0.1 probability that you win $11 and a 0.9 probability…

A: given that 0.1 probability of winning $11 0.9 probability of loosing $3 Xi 11 -3 P(Xi) 0.1 0.9…

Q: A company is bringing two new products to the market. In order to learn the opinions of consumers…

A: We need to use the concept of Chi square for finding Expected value

Q: A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $19 to reach in and withdraw…

A: Given that probability of getting each bill is  =1/5  Now, The probability distribution for bills…

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

A: Given that, A container includes six components from supplier A, seven from supplier B, and eight…

Q: Consider a randomly selecting 4-cards from a standard 52-card deck. Let the random variable, X,…

A: Solution

Q: Suppose 3 ​quarters, 3 ​dimes, 9 ​nickels, and 6 pennies are in a box. One coin is selected at…

A: Using the given data we make a table: Coin(amount in cent) (xi) quarter(25) dime(10) Nickels(5)…

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: Suppose you roll a die with probability of 1 being 1/13, 2 being 2/13, 3 being 4/13, 4 being 3/13, 5…

A: The given values of up-face of the die and the corresponding probabilities are given in below table.

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

A: According to the provided information, the ABC Electronics Company has just manufactured 1650…

Q: Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no…

A:

Q: Suppose we toss n balls into n bins one at a time uniformly at random. (a) What is the expected…

A:

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 game is played using one fair 6-sided die. If the die is rolled and shows 2, the player wins…

A:

Q: In a lottery game, a player picks six numbers from 1 to 30. If the player matches all six numbers,…

A:

Q: You have 4 quarters and 2 dimes in your pocket. You draw two out at random. What is the expected…

A:

Q: In a lottery game, a player picks six numbers from 1 to 26. If the player matches all six numbers,…

A:

Q: A game is played using one fair 6-sided die. If the die is rolled and shows 1, the player wins…

A: A game is played using one fair 6-sided die. when a die is rolled and shows 1, the player wins $8.00…

Q: Instead of the usual dice, suppose we have a bag of 12-sided dice, each with sides numbered 1…

A:

Q: A coin with Heads probability p is tossed repeatedly. What is the expected number of tosses needed…

A: Lets solve the problem using concept of probability.

Q: In a lottery game, a player picks six numbers from 1 to 29. If the player matches all six numbers,…

A: From the provided information, A player picks 6 number from 1 to 29. If the player matched all 6…

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: The probability that a certain machine turns out a defective item is 5%. Find the probability that…

A: The probability that the item is defective is 0.05. Sample size = n = 75.

Q: At a very large university, 70% of students that apply are accepted. Suppose 18 applicants are…

A:

Q: 1. A baseball team has a 25-person roster. A batting order has 9 people, where each member goes up…

A:

Q: Class in theory and probability chapter in expectation (weighted average) Please don't provide the…

A: We first find the probability distribution of the given ages.  To find the probabilities we divide…

Q: You have 3 quarters and 4 dimes in your pocket. You draw two out at random. What is the expected…

A:

Q: Five slips of paper containing the numbers 0, 1, 2, 3, and 4 are placed in a hat. If the experiment…

A: There are total 5 slips.The probability of drawing each slip is equal. So probability for each is…

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: A die is rolled 30 times. What is the expected number of times that a 5 or 6 will appear?

A: There are 6 outcomes when a die is thrown.  the probability of getting 5 = 1/6  the probability of…

Q: You have 3 quarters and 2 dimes in your pocket. You draw two out at random. What is the expected…

A: 1 quarter = 25 cent 1 dime= 10 cent Three cases can happen.  we can get 1) 2 quarters, 2) 1 quarter,…

Q: A coin is biased such that a head is nine times as likely to occur as a tail. Find the expected…

A:

Q: In a lottery game, a player picks six numbers from 1 to 22. If the player matches all six numbers,…

A: Here expected value is in lossing way it is in negative form  -0.3298

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: A five person science club is chosen at random from five girls and fifteen boys. Conditioned on…

A: We make a table using the given information. Possible cases Number of boys (xi) number of cases…

Q: Suppose we toss n balls into n bins one at a time uniformly at random.  a.) What is the expected…

A: a. There are n balls to be placed into n bins. Each ball has equal probability to be in the bins.…

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: A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $16 to reach in and withdraw…

A:

Q: A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $24 to reach in and withdraw…

A: There are total 5 bills in the box.

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

A:

Q: When two dice are thrown, find the expected values of the sum of number points on them.

A: Answer: For the given data,

Q: A spinner is divided into 4 sectors of equal size, with the sectors numbered 1 through 4. The…

A: Given data: A spinner is divided into 4 sectors of equal size, with the sectors numbered 1 through…

Q: In a survey of the weights of the backpacks of 52 students, 11 students' weighed between 0 and 12,…

A: Solution: The given data is

Q: Calculate the expected value for the number of bagels ordered by a randomly selected customer. 6…

A: Probability distribution table is given.Let X represent the number of bagels ordered by a randomly…

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

A:

Q: ou roll three 5-sided dice simultaneously(each with an equal probability of landing on each number 1…

A:

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.