A list contains the names of seven anthropology students, three sociology students, and two psychology students. If one men is selected at random to assist in the professors new study, find the probability that the chosen student is sociology

Q: entral Limit Theorem with Propositions A researcher believes that 9% of males smoke cigarettes. If…

A: GIVEN DATA, A researcher believes that 9% of males smoke cigarettes.p=0.09n=664probability that the…

Q: Adam is trying to spot a meteor. The probability he will see one in the next 10 minutes is 0.56.…

A: given data  P(see meteorin next 10 minute) = p = 0.56 odds of seeing meteor in next 10 minutes = ?

Q: If Z1, Z2, Z3 are independent and identically distributed, such that Zi--Geom(0.4) for i=1,2,3. What…

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Q: A fair coin is tossed n times. Show that, under reasonable assumptions, the probability of exactly k…

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Q: In tossing a fair coin four times, let X denote the random variable that counts the number of times…

A: Given,A fair coin is tossed 4 times .Let X denote the random variable that counts the numberof times…

Q: Macrostates, Microstates, and Probabilities ) Macrostates and Microstates: 1) Suppose we flip n = 2…

A: We flip two coins then the possible number of heads are 0,1 and2. We can get tails on both the…

Q: Arc sine law for maxima. Consider a symmetric random walk S starting from the origin, and let Mn =…

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Q: 4. Let Zn be the size of the nth generation of a branching process, and assume Zo = 1. Find an…

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Q: A coin which has probability p of coming up Heads is tossed three times. Let X be the number of…

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Q: Suppose that X and Y are random variables with joint density function fx,y (x, y) = 8xy for 0<y<x< 1…

A: Farmula used P(A|B)=P(A and B)/P(B)

Q: 7)  A decision maker who is considered to be a risk taker is faced with this set of probabilities…

A: Given that, The decision maker who is considered to be a risk taker is faced with this set…

Q: Suppose μ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with…

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Q: quiz consists of 24 multiple choice questions. Each question has 5 possible answers, only one of…

A: given data, 24 multiple choice question each question has 5 possible answers,only one of which is…

Q: Question 1: Consider the accompanying data on plant growth after the application of three different…

A: Here, one way ANOVA is performed to test the difference of the means of the different groups,…

Q: A bank auditor used a random sample of 100 accounts and found out that the average demand deposit…

A: Given that: sample=100 account average demands balance=$549.82 We have to find if the auditor needs…

Q: A science class has 3 girls and 9 boys in seventh grade and 5 girls and 3 boys in eighth grade. The…

A: Given In seventh grade=3 girls,9 boys In eighth grade=5 girls,3 boys

Q: 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find…

A: It is given that the 12-sided die is rolled. The set of equally likely outcomes are…

Q: Show that the number Zn of individuals in the nth generation of a branching process satisfies P(Zn >…

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Q: 3. Let X be a random variable with distribution function P(X ≤x} = 0 x 1 if x ≤ 0, if 0 1. Let F be…

A: Given that  We have to show that Y=F-1(X) is a random variable having distribution function F

Q: SUPPOSE X HAS A NORMAL DISTRIBUTION WITH µ= 20 AND G-4. FIND P(15 ≤X ≤21) 0.4931 0.5913 O 0.1934…

A: From the given information we have Mean(µ) = 20Standard deviations (σ) = 4X ~ N (µ, σ )= N(20, 4)

Q: You select a family with three children. If M represents a male child and F a female​ child, the set…

A: Given: Sample space = {MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF} =8 M represents a male child F a…

Q: 9 students are seated at random in 3 rows of 3 desks. Let, A= “Anu and Mumu sit in the same row” and…

A: Followings are the Explanation of the question  we know that  the two events are independent if…

Q: A company has recently introduced a new hardware brand. The firm would like to estimate the…

A: From the given information, out of 150 randomly selected individuals from the target market segment,…

Q: The probabilistic method. 10 per cent of the surface of a sphere is coloured blue, the rest is red.…

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Q: 5.20. Use the definition (5.15) of the probability of an event to prove the following basic facts…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

Q: Using the Law of Total Expectation (Partition Theorem for Expectation), or otherwise, determine E (Y…

A: Firstly it is desired to calculate E(X) and E(Y|X) to use the law of Total expectation.

Q: 3. Six cups and saucers come in pairs: there are two cups and saucers which are red, two white, and…

A: Given:-              R = red              S = stars             W = white

Q: peyton has 2 pizzas.eac pizza is cut into 10 equal slices.she and her friends eat 14 slices what…

A: there are 2 pizza each pizza cut into 10 equal slices.  eat 14 slices  parts of pizzas they eaten  =…

Q: Of the 1800 students at Harrison Middle School, 35% made the honor roll last semester. How many…

A: It is given that  Total students N = 1800 P = proportion of students made honor roll last semester =…

Q: Express the confidence interval 563.5 36.7 in the form of a trilinear inequality. < F< Question…

A: given data confidence interval is 563.5±36.7we have to answer the confidence interval as a trilinear…

Q: Consider a branching process with generation sizes Zn satisfying Zo = 1 and P(Z₁ = 0) = 0. Pick two…

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Q: Limeon has become the fastest growing energy drink in the U.S. The average retail price is…

A: Given Mean=100 Standard deviation=10

Q: Use the attached random digit table to estimate the probability of the event that at least 2 people…

A: Given information, There are group of 5 people in the experiment. Using the random number table, the…

Q: Suppose 40% of the restaurants in a certain part of a town are in violation of the health code. A…

A: Given that, 40% of the restaurants in a certain part of a town are in violation of the health code.…

Q: Let X and Y be independent random variables each having the uniform distribution on [0, 1]. Let U =…

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Q: 24. An urn contains b blue balls and r red balls. They are removed at random and not replaced. Show…

A: Given:-                The probability that the first red ball is drawn at (k +1)th the ball drawn =…

Q: Birth weights are distributed normally, with a mean of 3.39kg and a standard deviation of 0.55kg.…

A: Let X be the random variable from normal distribution with mean (μ) = 3.39, standard deviation (σ) =…

Q: Use the following sample to estimate a population mean μ. 65 65.2 47.1 85.4 63.9 68.3 57.1 69.6 36.8…

A: Given n=12 Alpha=0.01

Q: A fair coin is tossed n times. Show that, under reasonable assumptions, the probability of exactly k…

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Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and…

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Q: Can anyone solve 3 problem

A: this problem we have the binomial distribution P(X=x)=nxpxqn-x From given data we have : n=5 p=0.6…

Q: Consider the pmf. $³ Show that P(X = x) is indeed a probability mass function. f(x) = P(X = x) = x,…

A: given pmf;f(x)=P(X=x)=16x,x∈{1,2,3}0,otherwise

Q: The owner of a newsstand in a college community estimates the weekly demand for a certain magazine…

A: From the provided information, The probability distribution table is as follow: Quantity Demanded…

Q: Please read the question carefully and select the best choice to fill in the blank. 8 children are…

A: Hi there! Thanks for posting the questions. As per our policy we are allowed to solve one question…

Q: Find the first 5 terms of the sequence from the recurrence relation. Given:  • a0= 6 • a1= 9 •…

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Q: Coupons. Every package of some intrinsically dull commodity includes a small and exciting plastic…

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Q: Show that it is possible to position a convex rock of surface area S in sunlight in such a way that…

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Q: Compute the expected value.

A: The given probability function can be described as X 1 2 3 f(x) 1/6 2/6 3/6

Q: 26. Protocols. A pack of four cards contains one spade, one club, and the two red aces. You deal two…

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Q: A hat contains four marbles: 1 yellow, 1 red, 1 blue, and 1 green. Two marbles are to be  randomly…

A: Note: As per my policy i can answer only three sub parts. kindly repost the remaining sub parts.…