Prove: If ACB, then b. P(A| B)=P(A)/P(B).

Q: What is the probability that the spinner lands on Red??

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…

A:

Q: In a certain municipality, 70% of all residents are at risk of heart disease. If researchers…

A: Given,n=16p=0.7

Q: The scores of the students in the final examination are normally distributed with a mean of 82 and a…

A: We know, X be normally distributed random variable i.e., X~N(μ,σ)  the mean(μ)= 82 and standard…

Q: What is probability that gross profit will be less than 10%? b) Would you advise manager to…

A: It is given that  Mean, μ = 12% = 0.12 Standard deviation, σ = 6% = 0.06

Q: 2. The following situation arises in various situations such as when you are a homeowner. Suppose…

A: Given the probability distribution of loss as Loss Probability 1000 110 100000 110000…

Q: It is estimated that 88% of senior citizens suffer from sleep disorders and 8% suffer from anxiety.…

A: Let x denotes the citizens suffer from sleep disorders and y denotes the citizens suffer from…

Q: Solve i ,ii,iii

A: Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of…

Q: six faces of a fair (six-faced) die are marked as 1,2,3,4,5 and 6. A success on a single toss of the…

A: Given that  The six face of a fair die tossing.  NOTE:- According to bartleby guidelines expert can…

Q: QUESTION 6 In the hypotheses level Hл=0.40, H:n>0.40, at 5 % level testing of significance. if the…

A: Given,sample size(n)=49sample proportion(p^)=0.45H0:π=0.40Ha:π>0.40and α=0.05

Q: works part-time?" the probability is 0.876 if the events A and B are independent, then P(A) = P(A…

A: It is given that  From question 1: P( female ) = 0.826 From question 2: P( female/part-time ) =…

Q: In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When…

A: From the provided information, The table is as follow: Purchase likelihood 18-34 35-44 45-54 55+…

Q: How many 5 letter words can be formed if no letter is allowed to be used no more than once in a…

A: It is given that 5 letter words can be formed and also a word here is any combo of letters - it does…

Q: Suppose Ari loses 31% of all chess games. (a) What is the probability that Ari loses two chess games…

A: Given,P(Air lose the game)=0.31P(Air win the game)=1-0.31=0.69

Q: 2) 30 people (Eva, Ali, Bertil,....) will (randomly) go to stand in a line. What is the probability…

A:

Q: estimated that 60.5% of adults in Nevada have received at least one dose of the COVID-19 vaccine.…

A: Given that  n = 200 , p = 60.5% = 0.605 , q = 1 - 0.605 = 0.395 X : Number of adults received at…

Q: Consider the density curve plotted below: PDF(X) 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02…

A:

Q: Discrete random variable X has probability mass function pxas follows. 01 2 3 4 px (x) 0.1 0.2 0.2…

A: Given probability mass function px of X is x 0 1 2 3 4 PX(x) 0.1 0.2 0.2 0.3 0.2

Q: Suppose that a college determines the following distribution for X = number of courses taken by a…

A: given data,distribution of X = number of courses taken by a full-time student this semester:here…

Q: A bag with 8 marbles is shown below. (4 marbles are blue, 3 are red, and 1 is yellow.) A marble is…

A: It is given that  Red marble = 3 Blue marble = 4 Yellow marble = 1 Total marble = 8

Q: Let x have a uniform distribution on the interval 0 to 10. Find the probability. P(5 < x < 8)

A:

Q: The table shows the educational attainment of a population, expressed in millions. Find the odds in…

A: The total number of members is n = 158.

Q: An industry representative claims that 34 percent of all satellite dish owners subscribe to at least…

A: Note: Hi! Thank you for the question. As you have posted multiple sub-parts, according to our…

Q: QUESTION 6 In the hypotheses H:л=0.40, Hл>0.40, at 5 % level of testing significance. if the sample…

A: GivenH0:π=0.40H0:π&gt;0.40α=0.05sample proportion(p^)=0.45sample size(n)=49

Q: Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about…

A: Given information: PRainNo afternoon tide=0.10PRainAfternoon tide=0.15P(Afternoon tide)=0.50P(No…

Q: 1. Consider three random X₁, X2, and X3. Suppose that we have pairwise independence (i.e. X₁ is…

A: Given that, X1, X2 and X3 are pairwise independent then it can be written as, P(X1, X2)= P(X1)P(X2)…

Q: (a) Write down the 36 ways in which two dice can fall. (b) Find the probability of each of the…

A: Introduction: In a single standard die, the possible outcomes are 1, 2, 3, 4, 5, and 6, all of which…

Q: Several bakeries in a town were asked the price for different amounts of donuts at their shop. The…

A:

Q: A B 1 Count of Gender Column Labels 2 Row Labels Female 3 Full Time Part Time Grand Total 4 5 S67B K…

A: It is given that the employee at random from this population of hourly workers.

Q: Find the means of X and Y variables and the coefficient of correlation between them from the ff two…

A: Find the means of X and Y variables and the coefficient of correlation between them from the ff two…

Q: It is estimated that 26% of all California adults are college graduates and that 32% of California…

A: It is given that 26% of all California adults are college graduates and that 32% of California…

Q: different proble In a Communication class of 10 students, a professor plans to pick 2 students to…

A:

Q: 4. Let X'= (X₁,..., Xn) be an n-dimensional random vector whose covariance matrix exists. Let A be…

A: Let's simplify Covariance of AX,  Cov(Ax)= E[(Ax-E(Ax))(Ax-E(Ax))]' = E[(Ax-A*E(x))(Ax-A*E(x))]'

Q: The Weibull distribution is widely used in statistical problems relating to aging of solid…

A:

Q: A survey asked 850 respondents about their highest levels of completed education. The results are…

A:

Q: An online gambling site offers a first prize of $5000, a second prize of $3000, and a third prize of…

A: given data  first prize of $5000, a second prize of $3000, and a third prize of $1000. It costs $10…

Q: Q) Fix integers r,n with 1 ≤ r ≤ n. Let A be any subset of [n] ≜ {1,2,...,n} of cardinality r, and…

A: Here we have integers r,n with 1 ≤ r ≤ n. Let A be any subset of [n] ≜ {1,2,...,n} of cardinality r,…

Q: The lengths of tables sold at various furniture stores follow a normal distribution with u = 120 cm…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 15.6 X~N (120, 15.6)

Q: In a certain municipality, 70% of all residents are at risk of heart disease.  If researchers…

A: Givenp=0.70sample size(n)=16Let "x" be the no.of residents who are at risk of heart…

Q: Part d, e, f

A: Given that  Probability mass function of X is  x 0 1 2 3 4 f(x)= P(X=x) 0.3 0.1 ? 0.2 0.3…

Q: 8. For the RV (X, Y) the joint PDF is given as if 0 ≤ x, y ≤ 2 (a) fx,y (x, y): 0 elsewhere Find for…

A:

Q: If baguettes have an average length of 30cm and a standard dev of 2cm, then you got a baguette that…

A: The following information has been provided: Let X be a random variable represents the length of…

Q: 3. x and y are independent zero mean Gaussian random variables with variance of and o. Let z = (x +…

A: Here we have x and y, two independent zero mean Gaussian random variables with σ2x and σ2y.  So the…

Q: . (c) My new phone cost $25, plus a monthly charge of $15. (d) The salesperson worked only on…

A: We must first establish the known values and categorize the unknown quantity as a variable before we…

Q: Problem #5. In how many ways can a committee consisting of 2 managers and 3 staff members be formed…

A: committee consisting: 2 manages and 3 staff memberseligible to serve on committee: 6 managers and 10…

Q: Let x have an exponential distribution with = 0.4. Find the probability. (Round your answer to four…

A: Given that  X~Exp(λ) λ=1 and λ=0.4

Q: Find the probability of each of the following, showing your choose a) Two heads in throwing a coin…

A: Given that  A) Two heads in throwing a coin six times nCr = n! /{r!*(n-r)!} Note : According to…

Q: P(B) = 0.4 / 0.6 = 2 / 3 = 0.6667  where did all the numbers in this line come from?

A: It is given that P(A U B) = 0.8, P(Ac) = 0.6

Q: Let x have an exponential distribution with λ = 1. Find the probability. (Round your answer to four…

A: It is given that X have an Exponential distribution with λ = 1.

Q: 2. Suppose that X₁, X2, and X3 are mutually independent and identically distributed with moment…

A: