About 4% of the population has a particular genetic mutation. 300 people are randomly selected. Find the average number of people with the genetic mutation in such groups of 300.

Q: In a study of recognition of the brand name Mrs. Fields cookies, out of the 50 adults in the study…

A: From the given information,out of 50 adults in the study, it was found that 35 recognized the brand…

Q: In a lottery where 50,000 tickets are sold (of which only one is winning) at $5 each, find the…

A: In this case, there is a 1 in 50,000 chance of winning the $100,000 prize. So, the probability of…

Q: In a game of yahtzee, you roll 5 dice each turn. what is the probability that on one turn exactly…

A: Solution-:Given: Number of rolls=n= 5 The probability of turning up 3=p=1/6We want to find P(2 out…

Q: a.) Find the probability distribution. b.) Find the mean of the probability distribution. c.) Find…

A: Given ,Suppose three fair coins are flippedSample Space (S) :The set of all possible distinct…

Q: find the probability of being dealt 5 cards from,aa standard 52 card deck, and the cards are 9, 10,…

A: Here given that there are 5 cards dealt from standard deck of 52 cards.There are 4 suits in deck of…

Q: We choose 2 balls at random from an urn containing 8 white, 4 black and 2 orange. Suppose we receive…

A: Given:Total balls = 8 white + 4 black + 2 orange = 14 balls.Gains for black ball = $2.Loss for white…

Q: normally distributed with a mean of 15.2 ounces. You find that 1.5% of boxes weigh more than the…

A: You're a production engineer at Norman's fourth-largest cracker factory, and you've set the upper…

Q: In a kennel where we keep 40 dogs, we know that 10 are not vaccinated. If we choose at random and…

A: No.of vaccinated dogs=30No.of non vaccinated dogs=10Total no.of dogs=40

Q: 1. Anne has a coin. She does not know if it is a fair coin. She flipped the coin 100 times and…

A: Anne flipped her coin 100 times and obtained 73 heads and 27 tails. This is a proportion of 0.73 for…

Q: For each of the following random variables, say whether it is continuous or discrete: a) the number…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.We…

Q: Seed are often treated with fungicides to protect them in poor draining, wet environments. A…

A: Total number of seeds=105=treated seeds5=untreated seeds

Q: Suppose that the random variables Y and X only take the values 0 and 1, and have the following joint…

A:

Q: water supply is deemed contaminated if metal in water is larger than 0.5 g L-1. 6 tests at different…

A: LocationConcentration10.4320.6430.5940.5450.7360.49water supply is seemed to be contaminated if…

Q: probability that both cards have rank no higher than 10, and at least one of the cards is red?

A: Suppose you select a card uniformly at random from a standard deck, and then without putting it…

Q: At a music store in New York​ City, 64 people entering the store were selected at random and were…

A: The provided information is as follows:The total number of music stores is .The total number of the…

Q: Recreational Time A researcher wishes to see if there is a difference between the mean number of…

A: X1¯=8.5,X2¯=10.5,n1=n2=36,σ1=2.9andσ2=2.7

Q: The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A…

A: p=82% n=sample size=99

Q: Exercise 2 A manufacturing process always has 8 parts in process. A part must successfully…

A: Given:There are always 8 parts in the process.Machine for Step 1(M1) processes 8 parts per…

Q: A study showed that 24% of all firms in Country A are owned by women. You are phoning local…

A: n = 3, p = 24% = 0.24Let X be the number of all firms in Country A are owned by women.p be the…

Q: Let A and B two random events and P(A)-1/2, P(B)-1/5. and P(A | B)- 1/4. Assume X-B(1, P(A)) and…

A: Let A and B be two random events and:    Assume:Where B(1, p) denotes a Bernoulli distribution with…

Q: The Internal Revenue Service wishes to study the time required to process tax returns in three…

A: It is needed to discuss the testing procedure of the given scenario.

Q: Lamar works for NASA designing planetary rovers. For his current project, he has to design a rover…

A: From the given information,the daily high surface temperature of Venus using a normal distribution…

Q: The joint probability mass function of X and Y is given by P(1, 1) = 0 p(2, 1) = 0.05 p(3, 1) = 0.1…

A: We have given the joint probability distribution as…

Q: Atian, Sam, Phuong, Mike, and Tariq are competing with ten other boys to be on their school's…

A: The provided information is as follows:Atian, Sam, Phuong, Mike, and Tariq are competing with ten…

Q: Consider the following joint probabilities table for X and Y , where x = 1, 2, 3 and y = 1, 2, 3, 4.…

A: X\Y1234Marginal Total10.050.10.050.010.2120.20.020.250.070.5430.150.010.030.060.25Marginal…

Q: probability that both cards have rank no higher than 10, and at least one of the cards is red?

A: Suppose you select a card uniformly at random from a standard deck, and then without puttingit back,…

Q: Imagine that on average two out of seven people are left handed. Assume that each person is either…

A: 2 out of 7 people are left-handed. Each person can either be right-handed or left-handed.

Q: The following data is representative of that reported in an article on nitrogen emissions, with x =…

A:

Q: Instruction: There are situations listed below. You should identify what sampling design is used on…

A: The sampling design used in this case is stratified multi-stage cluster sampling.Region IV, which is…

Q: Q 2.3. There is a pair of magic dice. When they are rolled together, then half the time, they behave…

A: To find the expected value of the product of the two values on the top of each die when the pair of…

Q: a. 10! = b. C. || 8! 3!5! d. 20 P3 || e. 20 C3 f. 1! = g. 0! = = = h. 6 C2 ×8 C3 =

A: There are more than 3 parts in one question so we are solving the first three questions as per…

Q: Random variable X is independent of random variable Y, and X-B(10,

A: Given that X is independent of random variable Y.

Q: The following data represents the age of 30 lottery winners. 24 50 57 30-39 40-49 50-59 60-69 70-79…

A: 24,30,30,33,37,39,41,45,45,48,49,49,50,53,53,54,57,57,57,57,60,62,63,63,65,65,66,74,79,84sample…

Q: Suppose that 100 fair dice are tossed. Let ?? be the number showing on the ??ℎ die. What is the…

A: 100 fair dice are tossed.Let  denote the number showing on the  die.

Q: If there are 23 defective items within a population of 1,000 items, what is the probability of…

A: Solution-:Given: N=1000,M=23, n=50We want to find,

Q: Suppose 5 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Suppose that X ~ Exp (A) for some X > 0. If Y = X¹/a for some a > 0, show that Y is absolutely…

A:

Q: Christopher and Jade each have a bouquet of flowers (the two bouquets are distinguishable).…

A: Total flowers = 9 Rose = 4 Tulip = 5 Sample space : Ω = {RR, RT, TR, TT } Christopher picked the…

Q: 4. For a standard deck of playing cards, compute the following probabilities. Note that we are…

A: As per our guidelines we are supposed to answer only three subparts kindly post the remaining…

Q: While making up your schedule for the spring semester, you find that you must take one course from…

A: Since you have posted a question with multiple subparts, we will provide solution to the first three…

Q: Some people are in favor of reducing federal taxes to increase consumer spending and others are…

A: We are asked to find the number of possible outcomes when two people's opinions are recorded on a…

Q: Of a population of consumers, 60% are reputed to prefer a particular brand, A, of toothpaste. If a…

A: 60% of customers are reputed to prefer a particular brand A of toothpaste. That is:

Q: An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a…

A: We want to find the probability that a woman has none of the three risk factors (denoted as ~A)…

Q: Studies have shown that 30% of women use sunscreen regularly on their face and other exposed skin…

A: 30% women use sunscreen, p = 0.30 q = 1 - p = 1 - 0.30 = 0.70 Sample of 12 women , n = 12 Binomial…

Q: Consider a random variable, z, that has a standardized normal distribution. Determine the following…

A: Consider a random variable follows a standard normal distribution.i.e.

Q: The quality of a metal is assessed for its purity and conductivity before it is shipped. The…

A: The probability that the metal is pure enough to be shipped is 90%. The probability that the metal…

Q: Let S be a sample space consisting of two points a and b. Define a uniform probability measure on S…

A: As per the guidelines of the Bartleby, solution of only first 3 parts are given.

Q: A smartphone manufacturer is so certain of its quality control that it offers a complete replacement…

A: The Markov chain for the given scenario can be modeled with 5 states depicting the year after…

Q: Ananya loves even numbers, so she came up with a game to play with her friend So in order to expose…

A: It is required to determine whether the two events, X and Y are independent.

Q: An unfair coin with Pr[H] = 0.2 is flipped. If the flip results in a head, a marble is selected at…

A: The event H is defined as flip results a head, R is defined as red marble, and T is defined as…