Dengue-fever viruses are carried by mosquitoes. There are several different serotypes of the dengue virus, and one study showed that, of all mosquitoes that carried serotype A, a proportion of 0.14 also carried serotype B. If the proportion of serotypes A and B in the mosquito population are 0.2 and 0.75, respectively, what is the probability that a randomly selected mosquito carrying serotype B also carries serotype A? Round your answer to five decimal places. Answer:

Q: For each of the three events in the table, check the outcome(s) that are contained in the event.…

A: A number cube is rolled three times.An outcome is represented by a string of the sort OEE (meaning…

Q: A random sample of n = 81 from a population with a normal distribution that has a μ = 64 with σ =…

A: From the provided information,

Q: Find the expected value to the company per policy sold (round to the nearest dollar)  If the…

A: An insurance policy sells for $3,200 for a family of 5. Based on past data, an average of 1 in 40…

Q: 15 The kinetic energy k associated with a mass m moving at velocity v is given by the expression k=…

A: Kinetic energy k=mv2/2Random velocity V has Probability density functionFormula Useddx…

Q: Let X be a continuous random variable with probability density function xex x>0 f( = otherwise (a)…

A: The probability density function of X f(x)=xe-x   x>00            OtherwiseFor calculating the…

Q: In a survey of 400 items in a production line, it was discovered that 10% are defective. What is the…

A: Given the survey of 400 items in a production line.The percentage of defectives is 10%,Let n = 400…

Q: Suppose there is a simple, undirected graph G with 2n vertices and 2n edges, where n ≥ 3. The graph…

A: Given that there is a simple, undirected graph G with 2n vertices and 2n edges, where . The graph…

Q: A sample of 3 balls is to be selected at random from an urn containing 20 balls numbered 1 to 20.…

A: The total number of balls is .The number of balls to be selected in each sample is .There are 6…

Q: Hélène is responsible for a group of travelers who are boast of covering an average of 250 km per…

A: From the provided information,

Q: 11. A game is played in which a four sided die is rolled. The player must then try to toss a ball…

A: Given ,The die is four faced.So the possible outcomes are 1,2,3,4.Player has the probability of 0.7…

Q: Let X₁,···,Xn ~ N(µ₁,12) and Y₁,.,. populations. Suppose x = 14.32 an for μ₁ −μ₂ is (a). If we want…

A: Range of the sampling distribution is smaller than the range of the original population .

Q: A three-finger Morra game is a game in which two players simultaneously show one, two, or three…

A: The three-finger Morra game is a game in which two players simultaneously show one, two or three…

Q: Two continuous random variables Y₁ and Y₂ has the joint density function y2, if y₁>0, y2 > 0, y₁ +…

A:

Q: 7.33. If E[X] = 1 and Var(X) = 5, find (a) E[(2 + X)²]; (b) Var (4 + 3X).

A: E(X)=1,V(X)=5

Q: Consider the following Sample Loss Frequency and Severity Distributions. Assume also that these…

A: The provided information is as follows:The data is given as  Frequency distributionSeverity…

Q: A study was conducted on the lengths of the logs from each lot from the question above. Samples were…

A: Given information:

Q: Let X be a discrete random variable with moment generating function Mx(t) = ¹/e²2¹ +²e-31 + 1e³t erܕ…

A: Please find the attachments below for the explanation.

Q: 0 ос

A: The provided information is as follows:The data set is given as…

Q: A dart hits the square dartboard shown below at a random point. Find the probability that the dart…

A: Side of a square = a = 13Radius of a circle = r = 6

Q: What was the range (best approximation) in which at least 75% of the data values fell?

A: in 1975 a sample of the hourly wages of employees who work in restaurants in Los Angeles has a mean…

Q: Suppose the probability that team ?� wins each game in the tournament is 0.60.6. ?� plays until it…

A: The objective of this question is to find the expected number of games that the team plays in a…

Q: If 10% of the population has a certain characteristic, what is the probability that in a random…

A: n = 10, p = 10% = 0.10, q = 1 - p = 1 - 0.10 = 0.90X ~ Bino(n = 10, p = 0.10)Let X be the number of…

Q: 5. A random variable, X, is uniformly distributed on [0, 10]. Determine the probability density…

A: It is given that a random variable X is uniformly distributed on [0,10] i.e., X ~…

Q: QI Let be a probability function on S = {9₁, 92, 93} Find рса,) if р(аз पे і) Plar)=3, P(93)= ії)…

A: Let the probability functionS={a1, a2, a3}To find P(a1) Concept Used: Using the property of…

Q: A: Assumptions • Since Select an answer information was collected from each object, what conditions…

A: The total number of sample observation is The level of confidence is .The sample data on pulse rates…

Q: hate the portion of voters who plan to ate A in an election, 18om sample of size n from the voters…

A: We have given that θ be the portion of voters who plan to vote for Candidate A among all voters.We…

Q: oblem 4-23 (Algorithmic) ppose that you are given a decision situation with three possible states of…

A: The prior probabilities are:With sample information ,

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: Given,Number of red marbles, n(red) = 3Number of green marbles, n(green) = 2Number of white marbles,…

Q: A bag contains five red marbles and eight white marbles. If a sample of three marbles contains at…

A: Solution-:Given: A bag contains 5 red marbles and 8 white marbles.If a sample of three marbles…

Q: The following questions are given to a group of subjects. Which of the following do you prefer? A:…

A: There are multiple questions(>1) at the same time. According to the guidelines of Bartleby, we…

Q: A bag contains 24 marbles, of which 6 are blue and 8 are green. One marble is drawn from the bag.…

A:

Q: Find the conditional probability of winning a pass-line bet, given that the bet is resolved within…

A: To find the conditional probability of winning a pass-line bet given that the bet is resolved within…

Q: Random variables Y₁, Y2, Y₁0 are independent and identically distributed as N(-1,4). 1 10 a) Let Y =…

A: a) The sampling distribution of the sample mean of a set of independent and identically distributed…

Q: (a) In a semiconductor company, the failures of the component are very high due to quality control…

A: Given,In a semiconductor company failure rate is more,So to avoid the more failure rate, the quality…

Q: 14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many…

A: Given that for the birthday party, Madonna's 3 students bought him a cake cut into 10 slices.

Q: If p is the probability of Event 1 and (1 - p) is the probability of Event 2, for what values of p…

A: If p is the probability of Event 1 and (1-p) is the probability of Event 2.The payoffs matrix…

Q: In general, consider a discrete random variable with probability mass function f which gives the…

A: PMF f of discrete random variable x:xa1a2a3a4f(x)1/41/41/41/4Assume PMF g of discrete random…

Q: Problem 2. A bin contains three components from Supplier A, four from Supplier B, and five from…

A: Given,A bin contains 3 components from supplier A,A bin contains 4 components from supplier B,A bin…

Q: (ii) A system consisting of one original unit plus a spare can function for a random amount of time…

A: X is a random variable of the system functions

Q: 12. The number of new individuals in a population of animals is sometimes approximated by…

A: The survivor functions are given below:where,  and  are real numbers with  based on more new born…

Q: 4. What is the expected value of building a medium complex when the market research study is done?…

A: Question 4)The payoffs (in thousands of dollars), probabilities, and decision trees are provided.…

Q: Q2. The duration of a construction activity was estimated to be in the range [2, 6] days with a most…

A: Given the density function, which is used to model the duration of a construction activity is

Q: D Question 19 What is the probability that a randomly selected passenger survived on the Titanic? O…

A: The objective of the first question is to determine the probability that a randomly selected…

Q: A sample, from a population has a μ = 15 and σ = 24, has M = 13. If the sample corresponds to a…

A: Given that,z = -0.50

Q: A system composed of n separate components is said to be a parallel system if it functions when at…

A: In a parallel system composed of n separate components, the system functions if at least one of the…

Q: Out of all ELT's, 80% are AMC, 15% are BC, and 5% are CC. AMC has a 4% defective rate, BC has a 6%…

A: Given,Out of all ELT's 80% are AMC, 15% are BC and 5% are CC.Let's consider AMC as A , BC as B and…

Q: There are 9 people taking part in a raffle. Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi, and Soo.…

A: Given that,There are 9 people taking part in raffleBob,Elsa,Hans,Jim,Kira,Lena,Omar,Ravi and…

Q: EUVER magazine states that 64% of Canadian adults over 18 years old have a credit card. To verify…

A: Given claim: the proportion of Canadian adults over 18 years old have a credit card is less than…

Q: Let X and Y denote two continuous random variables. Let f(x, y) denote the joint probability density…

A: It is given that X and Y are two random variables with joint probability density function  and the…

Q: Assume X₁,...,X10 are iid N(µ,16). Consider the test Ho : μ > 10 →→ Ha : μ < 10. Assume we reject Ho…

A: are independently and identically distributed (iid) random variables form a normal distribution with…