A bag contains 3 red marbles, 7 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Q: 26. Lots of coins. Suppose we toss 100 fair coins and record the percentage of heads. a. According…

A: According to our guidelines, we are supposed to answer only 3 sub-parts. a) The Central Limit…

Q: Suppose that X and Y have a continuous joint distribution for which the joint probability den- sity…

A: Given: X and Y have a continuous joint distribution. The joint probability density function is:…

Q: 5. A bag contains 4 red marbles and 2 blue marbles. You draw a marble at random, without…

A:

Q: Dresden and Morgan both have the following loss distribution. Loss Possibility Loss Probability $0…

A: Loss probability Loss Probability 0 0.9 4000 0.1 Sum 1

Q: 1.The PDF of an exponential distribution is given by f(x, A)= A e^(- Ax), if x20 and 0 elsewhere.…

A: To verify that the given function f(x, A) is a probability density function (PDF) for an exponential…

Q: Suppose that events M and N are two events P(M)= 0.6, and P(N) = 0.8 P(M or N)= 0.9 What is P(M and…

A: The events M and N are two events P(M)= 0.6, and P(N) = 0.8 P(M or N)= 0.9

Q: The following function is probability mass function. f(x) = 4x¹, x = 0, 1,2,3,4 Determine the mean,…

A: The given probability mass function is fx=4x+145,      x=0,1,2,3,4.

Q: Find the area above 65 for a normal distribution with mean 61 and standard deviation 10? Round to…

A: Answer:- Given, Mean, µ = 61 Standard deviation, σ = 10  Using formula,  Z-score = (X-µ)/σ ; Where X…

Q: The time (in minutes) between arrivals of customers to a post office is to be modelled by the…

A: exponential distributionμ = 0.46 minute = 27.6 secondsλ = 127.6 per secondformula to use : P(x>X)…

Q: Let X = the outcome when a fair die is rolled once. Suppose that, before the die is rolled, you are…

A: To determine which option to prefer, we need to compare the expected values of each option. The…

Q: Doctoral Student Salaries Full-time Ph.D. students receive an average of $12,837 per year. If the…

A: a) Suppose the random variable x defines the salaries of doctoral students per year.

Q: A regression was run to determine if there is a relationship between hours of study per week (�) and…

A: From the provided information, y = ax + b a = 6.254 and b = 33.41, r2 = 0.976144, r = 0.988 y = the…

Q: 22. In a simultaneous throw of two dice, what is the probability of getting doublet? (a) (d) 3 23. A…

A: To determine the probability of getting a doublet in a simultaneous throw of two dice, we need to…

Q: 2.) Grade Distribution. Mr. Doole's grade distribution over the past three years for a course in…

A: From the given table ,   n(A)=43 n(B)=182 n(C)=260 n(D)=90 n(F)=62 n(I) =8 Total =…

Q: Create your own probability problem using a number cube. Classify your event and its compliment. Are…

A: Problem: You roll a number cube once. Define the event "E" as rolling an even number (2, 4, or 6).…

Q: If X and Y are independent exponential random variables, each having parameter λ. (a) Find the joint…

A:

Q: HI the answer is inncorrect can you recheck?

A: The stage 3 manufacturing process has probability of being on time P(Stage 3 on time)=0.70. The…

Q: 4. An article reports that 1 in 200 people carry the defective gene that causes inherited colon…

A: The probability of caring for a defective gene by a person is, The binomial expression for the…

Q: How many different ways can a baseball manager arrange a batting order of 9 players

A: Assume a baseball team has a lineup of 9 batters. i.e. n=9

Q: 15-2 1. DJ Find the probability that a point chosen at random from AK is on the given segment. A B C…

A: According to given information I will answer question 2. Find the probability that a point chosen at…

Q: ENGAGEMENT: The following are real-life examples of random variables. Classify them as discrete or…

A: There are mainly 2 types of random variable - Discrete random variable - the variable x which can…

Q: A maintenance firm has gathered the following information regarding the failure mechanism for air…

A: A maintenance firm has gathered the following information regarding the failure mechanism for the…

Q: Recent research suggest that 43% of residents from certain region have a home phone, 95% have a…

A: P(home phone)=0.43 P(cell phone)=0.95 P(both)=0.41

Q: 1. Let joint PMF of X,Y is as follows X Y 1 2 What condition should a and ß satisfy? 1 1/6 1/3 2 1/9…

A:

Q: Determine whether the graph can represent a normal curve. If it cannot, explain why. j

A: The graph of a normal distribution is symmetric around its mean. and Bell-shaped curve

Q: At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the…

A: It is given that, the probability that it will rain is, P(Rain) = 0.07.

Q: The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500…

A: To determine the number of cylinders with diameters less than or equal to 50.0 mm, we need to…

Q: According to a study, 31% of experienced file-sharers with broadband access had decreased their…

A: It is given that, the 31% of experienced file-sharer with broadband access had decreased their…

Q: When Brett Kavanaugh was nominated to be a Supreme Court justice, a survey of 1029 Americans showed…

A: From the provided information, Sample size (n) = 1029 From which 51.1% disapproved of Kavanaugh that…

Q: xpected number of games that are played when i = 2. Also, s ximized when p = 1/2.

A: Let A indicate that team A wins and B indicate that the other team B wins. Since game will end when…

Q: From a standard deck of 52 playing cards how many combination of 7 cards can be formed with at least…

A: Case 1: Selecting 3 cards from one suit and 2 cards from another suit: Choose one suit: 4 options…

Q: 5.1. Let X be a random variable with probability density function f(x) = {€ c (x − ²³2) 2 < x < 4 0…

A: The probability density of X has the form:  f(x) = c(x - 3x2)2 &lt; x &lt;40otherwise (a). Find the…

Q: 4. A store has found that 10% of the items it sells are returned after Christmas. On one day, a…

A:

Q: Run a regression analysis on the following bivariate set of data with y as the response variable. x…

A: The total number of pairs of observations is n = 12.

Q: A survey was conducted that asked 1005 people how many books they had read in the past year. Results…

A: Mean =14.4 standard deviation =16.6 sample size =1005

Q: If z is a standard normal random variable, find the probability. The probability that z lies above…

A: Answer: From the given data, Z is a standard normal variable  For a standard normal variable, mean…

Q: (a) In each Australian capital city, a large retail chain has several stores, including in Brisbane…

A: Let X be a random variable denoting the profit in a randomly chosen month in Brisbane. Let Y be a…

Q: A city council consists of seven Democrats and seven republicans. If a committee of five people is…

A: A city council consists of seven Democrats and seven republicans.  and   If a committee of five…

Q: 3.An instructor has given a short quiz consisting of two parts. For a randomly selected student, let…

A: To find the PMF of Z, where Z = X + Y, we need to sum the probabilities of all possible combinations…

Q: Determine whether the variable is qualitative or quantitative. Explain your reasoning. Postal ZIP…

A: We know that, Quantitative data refers to any information that can be counted or measured and given…

Q: Daniel and Edwin had a total of 500 coins. After Daniel spent 3/7 of his coins and Edwin spent 7…

A: Daniel and Edwin had a total of 500 coins. After Daniel spent 3/7 of his coins and Edwin spent 7…

Q: Prob-1 Probability that cars have been assembled in a particular plant as follows: P(plant1)=20%,…

A: The probability that cars have been assembled in a particular plant is as follows:P(plant1)=20%,…

Q: Compute the mean, median, mode, variance and standard deviation of the following data. An…

A: Wing span in mm Number of insects 15-19 5 20-24 10 25-29 32 30-34 42 35-39 76 40-44 110…

Q: • Watch help vince In a class of 30 students, 19 have a cat and 12 have a dog. There are 6 students…

A: Given information :  Total students = 30  Students having a cat  P(cat) = 19 /30 Students having a…

Q: a bag with marbles, 3 blue marbles, 2 red marbles, and 5 green marbles. Three marbles are drawn in…

A: It is given that,  A Marbles contain  3 blue marble  2 red marbles 5 green marbles Thus, total no.…

Q: Consider the following directed graph of the relation R on the set A={a, b, c, d}. Tl a) symmetric…

A:

Q: The average cost per household of owning a brand new car is P5,500. Suppose that we randomly…

A: Mean(μ)=5500 standard deviation(σ)=1550 sample size(n)=45

Q: Construct a 90% confidence interval of the population proportion using the given information. x=160,…

A: The given values are: x=160,n=200.

Q: Rework problem 7 from section 3.1 of your text, involving events E, F, and G in a sample space S.…

A: The given probabilities are PrE=0.55,PrF=0.5,PrG=0.55,PrE∪F=0.8,PrE∪G=0.75,PrF∪G=0.8.

Q: Please round all answers to 2 decimal places. Given the table below, use your calculator to find…

A: We have given that x 7.3 7.8 9.7 4.1 5.9 5 y 20.6 25.3 27.4 16 15.3 14