Given_n(A^B) =23___,_n (A) =46, n(B)=51, calculate n(AUB)=?_and enter your answer in the box provided below.

Q: What is the probability of drawing a club from a deck of playing cards2 or fewer times in 10 draws?

A: In standard deck of cards, there are total 52 cards .There are 4 suits in deck of cards , and each…

Q: An urn contains n=9 balls with different colors. We draw a ball randomly, record the color then…

A: n=9, m=4

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

A: From given,the total number of cards = 20The number of cards having a number 1 or 3 = 8The number of…

Q: Q 4.4. An individual picked at random from a population has a propensity to have accidents that is…

A: Given that the random variable Y has the gamma distribution with shape parameter and rate parameter…

Q: The pregnancy durations (in days) for a population of new mothers can be approximated by a normal…

A: We have given thatMean() = 262standard deviation() = 6 X ~ N (µ,  )= N( 262, 6)

Q: Problem 4: A finite state machine has 3 states, labeled {1, 2, 3}. The input of this state machine…

A: Given that a finite state machine has 3 states, labeled {1, 2, 3}. The input of this state machine…

Q: The posterior probability of the deadline being exceeded is:

A: As per policy I have calculated first main question plz REPOST for remaining questions. There is 0.3…

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: Given that is a standard normal random variable, compute the following probabilities (to 4…

A: a)P(-1.98z0.49)

Q: A manufacturer of headache medicine claims that it is 70% effective within a few minutes. That is,…

A: A manufacturer of headache medicine claims that it is 70% effective within a few minutes i.e.., out…

Q: discuss probability or non-probability sampling, sampling method and sample size.

A: We are asked to discuss the probability and non-probability sampling, sampling methods, and sample…

Q: randomly chosen consecutive cars on a freeway during a period of heavy flow (sec). Suppose that in a…

A: Let X has a pdf

Q: How many three-letter code words can be constructed from the first twelve letters of the Greek…

A: It is given that Total number of letters = 12Number of letters to be chosen = 3

Q: Customer A and B are being served by two clerks in the post office. Customer C is waiting and he is…

A: Let's consider the possible scenarios:Customer A is served first and leaves last.Customer B is…

Q: Suppose that X is a uniform random variable on the interval [0, 1]. After observing the value X = x,…

A: Let f(x,y) be the joint pdf of X and Yf(x,y) = f(x) f(y| X = x)                     =  (1/1-0)…

Q: License plates in a particular state are to consist of 3 digits followed by 3 uppercase letters. ​a)…

A: Given:License plates in a particular state are to consist of 3 digits followed by 3 uppercase…

Q: Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. How can we…

A: We have given thatVar[X] = 4.8Var[Y] = 9.7Let Z = 2X + 3Y

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: Instructions: Answer all questions. Show all working. 1. One hundred persons were asked, "Do you…

A: Let's create a contingency table based on the information provided. The table will have two…

Q: Jse a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A: Z be the standard normal distributionP(Z<z)=0.052

Q: probability that all six numbers appear?

A: Here eight distinct dice are rolled.Finite number of dice are rolled.Each die's outcome is…

Q: Determine the following probabilities: i) the probability that the individual was unemployed = P(A)…

A: Categories of Employment status:A: UnemployedB: Employed.Categories of highest level of school…

Q: When drilling for raw materials of copper and nickel, the amount of copper obtained per cubic metre…

A: mean of C = 460 standard deviation of C= 140mean of N = 180standard deviation of N= 30and…

Q: 3) The grade point averages of a large population of college students is approximately normally…

A: Let X be the grade point average of large population of college students.Given, X is approximately…

Q: .62 (b) What is the standard deviation of the sample proportion of the algae that were…

A:

Q: probability distribution formula to determine the probability a hand (of five cards) from a single…

A: You decided to participate in a charity 5-card poker tournament.There are total 52 cards in standard…

Q: P(z> -1.062) = (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=0 , ?=1 For standard normal distribution.Z-score =( x - μ )/?

Q: Suppose that 100 students take a test in a class. Each student has a 2/3 probability of passing the…

A: a. Markov's Inequality:Markov's Inequality states that for a non-negative random variable X and any…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: The mean was 21.5 and the standard deviation was 5.6.

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.43%. A random sample of 34 of…

A:

Q: Discuss probability or non-probability sampling, sampling method and sample size. Sampling method…

A: In probability sampling, every member of the population has a known, non-zero chance of being…

Q: A variable has a population mean of μl: = 100 and a population standard = 27. deviation of = The…

A: From the provided information,

Q: The number of raisins in a randomly chosen Jamaican spice bun can be modeled as a random variable…

A: The random variable number of raisins follows Poisson distribution with mean 5.2.

Q: Problem 3 A total of 36 members of a club play tennis, 28 play squash, and 18 play badminton.…

A: Let's define the following sets:T = members who play tennisS = members who play squashB = members…

Q: Given are five observations collected in a regression study on two variables. X; Yi 6 13 20 9 19 7…

A: Given is a data on x and y. We need to predict y from x using regression analysis..I used R software…

Q: a. Flip a balanced coin 5000 times. Let X be the total number of heads. Compute P(2400 ≤ X ≤ 2600).…

A: Since the number of trials (n = 5000) is very large we can use normal approximation using Central…

Q: . Suppose X ~N(3.7, 1.28). Let Y = -0.5X + 14. Then, P(X <= 5.0) =?, E(Y ) =?, and V(Y

A:

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

A: The pdf of the Weibull distribution is,The values of the parameter are ,  and .

Q: A car panel is spray-painted by a machine, and the technicians are particularly interested in the…

A:

Q: Calculate the probability that the gold component is neither sufficiently pure nor sufficiently…

A: The quality of a manufactured gold component is assessed for both its purity and its…

Q: Given the following fictitious data 40% of all undergraduates at XYZ University are from Florida and…

A: 40% of undergraduates are from Florida (F), and 60% are from out of state (O).22% of students are…

Q: stock prices has a 0.6 probability of rising in any year. The change in the value of the index in…

A: According to the Bartleby guidelines experts solve only one question and a maximum of three sub…

Q: A room is lit by two light bulbs which are connected in a series circuit. If either light bulb…

A: Given,A room is lit by two light bulbs bulbs which are connected in series circuit. if either light…

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: Q 4.1. Suppose X and Y are independent random variables, which are jointly continuous. 1. Show…

A: X and Y are independent random variables, which are jointly continuous.

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

Q: For Question 2 Let A and B are two independent events such that P(A)=0.3 and P(B) = 0.15. Calculate…

A: P(A)=0.3 and P(B)=0.15A and B are independent.

Q: 3. In a large population, 0.1% of individuals have certain rare disease. If 10,000 individuals are…

A: Given that, In a large population , 0.1% of the population have certain rare disease So…

Q: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street…

A: The random variable   represents the waiting time for the pedestrian signal. The PDF of random…