Given a test for a virus with sensitivity = 0.94 and specificity = 0.98 is administered to a population where 25% actually has the virus. ) Determine the probability of: i) a false positive (positive test, but no virus) ii) a false negative (has the virus, but negative test) iii) a correct diagnosis (either virus and positive or no virus and negative) ) Determine the PPV (positive predictive value) for the test.

Q: 6. How many ways to line up 10 girls and 7 boys in a row, if no three boys stard together?

A: Total number of girls = 10Total number of boys = 7

Q: Based on historical data, your manager believes that 25% of the company's orders come from…

A: n=81p=0.25

Q: The data given to the right includes data from 43 candies, and 5 of them are red. The company that…

A: Sample size n=43Favorable cases x=5Sample proportion p^=x/n=5/43=0.1163

Q: 5. How many ways to line up 10 identical green bottles and 7 identical black bottles in a row, if no…

A: Permutations: Understanding how to calculate the number of ways to arrange objects in a specific…

Q: a) Find the probability of exactly 32 particles arrive in a particular one minute period. b) Find…

A: A Geiger counter counts the number of alpha particles from radioactive material. Over a long period…

Q: The scores on the Accuplacer test and High School GPAs are normally distributed. The Accuplacer test…

A: The mean of the Accuplacer test, The standard deviation of the Accuplacer test, The mean of the High…

Q: construct a spreadsheet simulation to simulate 100 customers and collect statistics on the net order…

A: Given,supermarket customers load their carts with goods totaling between  uniformly (and…

Q: In this problem, we will approximate a binomial dis- tribution by a normal distribution. From…

A: X~Bin(n,p)

Q: Suppose that a random variable X has the following probability density function. SC(36-x²) 0≤ x ≤ 6…

A: From the provided information,

Q: A survey of 137 UNLV students during the fall semester revealed that 91 had Facebook accounts 73 had…

A: Asurvey of 137 UNLV students during the fall semester revealed that:91 had Facebook accounts73 had…

Q: Let the probability distribution of random variable X be P(X= k) k! , k = 0, 1, 2, I then EX2 - ()

A: Let X has a pmf

Q: 1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered…

A: It seems you have submitted 3 different questions, as per the guidelines I can solve the first one.…

Q: 3.1 Repeat observing a distance for n times with independent equal weight. Please proof that the…

A: To prove that the most probable value (MPV) of the observations is the direct mean by the Least…

Q: Annual high temperatures in a certain location have been tracked for several years. Let � represent…

A: It is needed to find the regression line based on the data of year and high temperature.

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

A: Let f be a pdf ; x>=0= 0 ; x<0

Q: Problem 6. Suppose that a fair coin is tossed n times. Estimate the probability that the proportion…

A: The objective is to find the probability that the proportion of heads obtained lies between 0.49 and…

Q: 1. A random variable X has expectation E(X) = μ and variance o². Suppose that Z = a) Compute E(Z).…

A: Given that X is a random variable with expectation  and variance .Suppose that

Q: The lifespan X (years) of a species of pig has pdf f (x) = 3x2e−x^3 , 0 < x < ∞. What is the…

A: To find the probability that a pig will live at least 1 year, you need to calculate the integral of…

Q: Help please: Flip a fair coin 3 times. Let X be the number of Heads. Then flip the same coin X…

A: (a) Find the joint PMF (Probability Mass Function):First, let's find the possible values of X and…

Q: Consider the random movement of a bishop on a chessboard (look up the definitions on the…

A: In the random movement of a bishop on a chessboard, we can model the bishop's movement as a Markov…

Q: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many…

A: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10.

Q: Given the data set below, calculate the range, mean, sample variance, and sample standard deviation.…

A: Given thatData values :  25 , 35 , 19 , 38 , 16 , 16 , 8 , 29 , 47Sum of data values = 233Number of…

Q: Hint: Use the Central Limit Theorem ]. Flip a balanced coin 5000 times. Let X be the total number…

A: n=5000P=0.5

Q: P(X ≤ 1 and Y≤ 1) = 0.41 (c) Give a word description of the event {X = 0 and Y# 0}. At most one hose…

A: Let X and Y have a joint pmf

Q: cated z-score shown in the graph to the right. vo decimal places as needed.) Aream 0.2981 최 2-76

A: X follows with mean zero and standard deviation is 1.X~N(0,1)

Q: 2. A Markov chain has the following transition matrix ||1/3 1/3 1/3|| P = 1/3 2/30 1/3 0 2/3 a. Draw…

A:

Q: Using the table provided, suppose that E is the event that a new car buyer intends to drive her/his…

A: Number of milesFrequencyFewer than 250001725001-75005675001-12500087125001-17500031175001 or more9

Q: this helps... but the question is asking what is the expected times we would flip a head. My…

A: To solve this problem, we can consider the cases where we flip a head in the first, second, third,…

Q: (b) What is the probability that you purchase at least 9 boxes?

A: The probability that a randomly selected box of a certain type of cereal has a particular prize is…

Q: A board game uses the deck of 20 cards shown to the right. Two cards are selected at random from…

A: We are given the deck as,Here, 4 - 1's4 - 2's4 - 3's4 - 4's5 - 4'sSo 20 cards in total

Q: ts, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are arranged in a uniformly random permutation. We denote by a the…

A:

Q: B= 3. Alice, Betty and Celeste are playing with a standard deck of cards. The deck is shuffled well…

A: Alice, Betty, and Celeste play with a standard deck of cards. The deck is shuffled well and they…

Q: Let X denote the vibratory stress (psi) on a wind turbine blade at a particular wind speed in a wind…

A: Given the Rayleigh PDF:Let  be the vibratory stress on a wind turbine blade at a particular wind…

Q: The quarterly sales of a company (in millions of dollars) over the past three years are given in the…

A: 200720082009Quarter 1142830Quarter 2201618Quarter 3364038Quarter 4101412Sum of yearly…

Q: Blood type AB is found in only 3% of the population.† If 200 people are chosen at random, find the…

A: We have given thatn = 200p = 3% = 0.03X ~Binomial(n, p) X ~ Binomial (200, 0.03)

Q: A bag contains 5 blue marbles, 3 red marbles and 4 white marbles. One marble is drawn at random and,…

A: Total = 5 + 3 + 4 = 12

Q: You are locked in a dungeon. By the door are three boxes: one black, one white and one red. The…

A: Given statements on the boxes are:Black Box: "The key is not in the white box."White Box: "The key…

Q: Consider the PDF f(x) = (1/2)(x+1), -1<x<1 Find the PDF for Y = 1-|X|

A: Probability Theory:Understand the concept of probability, random variables, and probability…

Q: Determine whether the following situation represents empirical, theoretical or subjective…

A: Philadelphia Phillies player Ryan Howard has a career batting average of 0.258.Since empirical…

Q: 6. Suppose that P(E)=0.61, P(F) = 0.43, and P(EF) = 0.27. Find the following:

A: 6) Given,P(E) = 0.61P(F) = 0.43And 0.27Using formula,

Q: Show that if  X is a discrete random variable a mean of  mu and a standard deviation sigma, then…

A:

Q: What is the probability of a spinner with 5 even colors landing on the same color 4 or fewer times…

A:

Q: In the video "How many ways are there to reorder the word MISSISSIPPI?" by Dr. Trefor Bazett, Dr.…

A: NoteAs per our policy, we'll answer the first three subparts. Kindly repost this question and…

Q: SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in…

A: Given observation and calculation is shown belowDepth (X)Dive time…

Q: Determine the following probabilities for a binomial distribution. a. For n=3 and = 0.11, what is…

A: P(X= r) = n * pr* q(n-r)

Q: Of the emails you receive 20% are spam on average. Your spam filter is able to detect 90% of them…

A: P(Spam)=0.20P(not a spam)=1-0.20=0.80P(Detected | Spam)=0.90P(Detected | not a spam)=0.15

Q: Q 4.3. A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the…

A: 1. Compute the distribution of Y:When rolling a fair die until a 6 is obtained, Y follows a…

Q: At a buffet restaurant, 84 customers select tacos, 157 customers select pizzas, and 15 customers…

A: n(tacos) = 84n(Pizzas) = 157n(tacos and pizzas) = 15P(at least one of the food item) = ?

Q: a. Find the standard error comparing the sample means. Interpret. The standard error is se=

A: A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 15.2…

A: Mean()=15.2Standard deviation()=3.1Sample size(n)=48