3. Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On each draw, if the ball is red, you set it aside and if the ball is blue you put it back in the urn. What is the probability that the third draw is blue? (If you get a blue ball it counts as a draw even though you put it back in the urn).

Q: If P(A/B) = P(A) and P(B/A)=P(B), then A and B are: O A. Mutually exclusive O B. Dependent O C.…

A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

Q: 2. Let the universal set 2 = [0, 1), which denotes all real numbers between 0 and 1 including 0 but…

A: we are pleased to inform you that according to bartleby's policy we can answer only first three sub…

Q: c. at least 1 but no more than 5 will malfunction. d. What is the expected number of sensors that…

A: given data p(malfunction )=p=0.10 n=12 x=No. of sensors malfunction p(x=X) = nxC px qn-x      -…

Q: What would be the probability of an event 'G' if H denotes its complement, according to the axioms…

A: given data  G is complement of event H we have to find probability of event G

Q: Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective…

A: Given data: x 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

Q: The first product of a test run was inspected and found to be non-defective. What is the probability…

A: Let us define some events A : the machine is correctly tuned. B : the machine is not correctly…

Q: 2.5.12.) The length of time that an individual talks on a long-distance telephone call has been…

A: Given pdf  f(x)=ɑe-1/5x x≥0

Q: Harry has 2 blue pens, 2 black pens and 4 red pens in his box. He picks one pen and records it's…

A: 2 blue pens, 2 black pens and 4 red pens _________________ 8 total pens

Q: The mean scores for students in MTH281 course (by major) is shown below. What is the mean score for…

A: given data  major number of students (ni) mean of major(xi¯) sum of major=ni*xi¯ IT 14 75 1050…

Q: Intersections and Complements with cardinalities: n(A) = 2 and n(B) = 4 and n(S) = 25. If A ⊂ B,…

A: Cardinality: The number of cardinal members of a collection is referred to as cardinality. A…

Q: (a) What is the probability that defect length is at most 20 mm? Less than 20 mm? (Round your…

A: From given data we have: μ=30, σ=7.4

Q: 3. A shopping website has a free section and a members-only section. When entering the members-only…

A:

Q: If 'X' is a continuous random variable, then the expected value is given by O a. SXP(X) O b. No…

A: The symbol used to denote the expected value of a particular random variable is E(X). It is defined…

Q: Three players, A, B and C, take turns tossing a fair six-sided die in the following sequence: ABC…

A: Given Information: The sequence in which a fair six-sided die is tossed in turns by players A, B,…

Q: In how many ways can we select 6 people out of ?12, of which a particular person is not included 9C5…

A: we have to select 6 peoples out of 12 persons. we have to find number of ways to select such as…

Q: If the random variable X has the pelf Find a) P(-1 ≤X <14) X 20) b) E(X(2-3X)) f(x)=(X-31/10),…

A: Solution is given below

Q: Identify 3 situations or issues in your workplace that can be dealt with through statistical methods…

A: Statistical methods: It may be defined as the techniques or tools or mathematical formulae which are…

Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1

Q: 7) (a) If my favorite cereal costs $2.99 for a 14-ounce box, what is the price per ounce? (b) A…

A: Part a: Given: Cost of 14- ounce cereal  box= $2.99

Q: Parking your car at MIT is expensive, so expensive that you decide that it must be cheaper to keep…

A: Given that the probability that a Cambridge meter maid will notice the illegal parking is 0.25. Upon…

Q: 1. A royal flush is the most powerful poker hand. It consists of the five highest cards in a single…

A:

Q: The sum of the probabilities of all outcomes in a sample space is

A: Here We will use the Basic law of probability

Q: d. What about the solutions for part A, part B, part C and part D?  Using the same data pls answer…

A: Assault offenses 1252490 Homicide offenses 5263 Human Trafficking Offenses 496 Kidnapping/…

Q: A bag contains 2 gold marbles, 9 silver marbles, and 28 black marbles. Someone offers to play this…

A: Obtain the expected value of the game.   The expected value of the game is obtained below as…

Q: (a) What is the probability of George making a profit? (b) Sally finds out that George made a…

A:

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.815 hours…

A: given data  exponential distribution μ = 2.815 hours λ = 12.815 per hourσ = μ = 2.815P(x&gt;X) =…

Q: 1. Let A and B be two events such that Ac B, then P(AB)= 1,2, 3 Q1. (22 points)] This question…

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: 7. Suppose that we have 4 dice labeled, A, B, C, and D. Each die has 6 sides, but the dice are…

A: We have 4 dice labeled, A,B,C and D. Each die has 6 sides, the dice is numbered differently.  the…

Q: (b) P(0 sz s 3) Next we want to calculate P(0 sz s 3), which is the area under the standard normal…

A: Find  P(0≤Z≤3)=?

Q: Heart failure is due to either natural occurrences (88%) or outside factors (12%). Outside factors…

A: Let X : heart failure is due to outside factors. p(x)=0.12 n=20

Q: . In the past few years, outsourcing overseas has become more frequently used than ever before by…

A: Let p be the probability of purchasing magazine of the companies that outsource overseas use a…

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A: This This question is belongs to hypergeometric distribution. Used formula Probability = Favorable…

Q: Chapter 04, Advanced Exercises, Problem 151a box contains 7 red marbles and 7 green marbles. YORK…

A:

Q: The code 39 is a common bar code system that consists of narrow and wide bars (black) separated by…

A: Solution:   There are 5 bars out of which exactly 2 are allowed to be white.

Q: The cumulative distribution function F(x) of a random variable X is given by 0, -8 <x<-1 0.2, 0.8,…

A:

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A: Given,no.of blue marbles=40no.of red marbles=60Total no.of marbles=100

Q: (a) Write down the transition matrix P. (b) Let X₁ denote the probability vector describing the…

A: This problem is related to stochastic process. Transition Matrix is the probability matrix which…

Q: 4-24 In a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses is…

A: Given that, in a lot of 200 electrical fuses, 20 are known to be nonconforming. A sample of 10 fuses…

Q: A computer consulting firm presently has bids out on three projects. Let A, = {awarded project /},…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: if P(A) = 0.3, P(B) = 0.4, and P(A/B) + P(B|A) = 0.6. Find P(An B) | (Provide 4 digits after the…

A: Given that  P(A) = 0.3 , P(B) = 0.4  P(A|B) + P(B|A) = 0.6

Q: Please use the following table to answer the question. Outcomes Frequency Heads 24 Tails 26 What is…

A: given data ,here outcomes and frequencies are given we have to find out the probabilty of flipping a…

Q: 1. The table below shows the weights (kg) of the students in an ESM 2035 class. a. Calculate the…

A: Given data: Weights Frequency 40 - 49 3 50 - 59 7 60 - 69 14 70 - 79 12 80 - 89 8 90…

Q: UCLA: You are in your dark room, and want to grab some pairs of socks. You remember you have n pairs…

A:

Q: Drug tests are designed with a known sensitivity. However, those interested in such tests want to…

A: Given information: The accuracy of the test is 99% and that 0.5% of the population uses the drug.…

Q: FIGURE 7.4 Sampling distribution of for n=2 dice .30- 8

A: Simulation code  If a single die is tossed the probability of chance of occurrence = 16 If two dice…

Q: i want to repost and answer remaining question

A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Q: (d)    P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3)

A: First 3 parts has already been answered i have to solve part(d) only of this queue in We have to…

Q: p(a)= .21, p(b)=.43, and event a and b are independent. what is p(a or b)?

A: given data P(A) = 0.21 P(B) = 0.43 independent events P(A∪B) = ?

Q: ement from the box. The probability that the third red ball is the seventh ball drawn is. balls and…

A: It is given that  Red balls = 13 Blue balls = 7 Total balls = 20

Q: 1 Find skewness and kurtosis for the RV X with PDF f(x) = 2T -∞ < x < x.

A: PDF of X,  fX(x) = 12πe-x22, -∞&lt;x&lt;∞ So, μ = E(X) = ∫-∞∞x f(x) dx=∫-∞∞x 12πe-x22 dx=0 [as…