uppose you are playing a game where you bet $5 and have a 48% chance of winning. The bet is 1:1. What is the house edge on a single game?

Q: A sample of 14 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If…

A: Given:  n = 14 X¯ = 33.2 σ = 8.3

Q: A certain type of storage battery last on average, 3.0 years with a standard deviation of 0.5 year.…

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Q: Show Corr(X, Y)

A: The joint probability mass function of X and Y is  f(x,y)=(x+y)/21   , x=1,2,3 and y=1,2

Q: Mary has a twelve pairs of shoes. Of these pairs of shoes four are casual sneakers, three are flat…

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Q: Show E(X)

A: Here given joint distribution of x and y

Q: A game consists of spinning an unbiased, five-sided spinner which can land on A, B, C, D or E, and…

A: Given information: The five sided spinner which can land on A, B, C, D or E and unbiased die are…

Q: A classroom has 8 vacant chairs, 3 in the front row and 5 in the back row. In how many ways can 5…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Q: The average depth of the Hudson Bay is 305 feet. Climatologists were interested in seeing if the…

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Q: For for a on-hom ogencous Poissonprocess, function is giren by the A(4) =5 if t is in Cl,2] or…

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Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

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Q: Random variables X and Y have the joint PMF with a constant k (kxy, х %3D 1,4; у %3D 1,3 P(x,y) =…

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Q: 2) Battery lifetime is normally distributed for large samples. The mean lifetime is 500 days and the…

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Q: In a certain college, 4% of the men and 1% of the women are taller than 6 feet. Furthermore, 60% of…

A: Let T=taller than 6 feetW=womenM=menGiven,P(T|M)=0.04P(T|W)=0.01P(W)=0.6P(M)=0.4

Q: A continuous random variable X that can assume values only between X = 2 and 8 inclusive has a…

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Q: The time required for the examinees to solve he same problem differs by two minutes. Together they…

A: This problem is calculative and comprise algebra.

Q: If the F test leads us to reject the null hypothesis, we must then conclude that the two population…

A: We have given that,  If the F test leads us to reject null hypothesis, must then concluded that the…

Q: 3. True or false? а. The values of a continuous variable are arrived at by o b. A continuous…

A: A continuous variable is a variable whose value is obtained by measuring.

Q: (iii) takes Economics or a female. (c) Two students are chosen at random, find the probability that…

A: In a college, there are 150 students taking courses in Mathematics, Physics and Economics. Among…

Q: For x = 1, 2, 3 and y = 1, 2, let the joint pmf of X and Y be defined by f X,Y (x, y) = (x+y)/21…

A: Introduction: Joint Probability mass function:  Let X and Y are the two discrete random variable.…

Q: You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 53.1 Ha:µ +…

A: Given information Hypothesized mean µ = 53.1 Sample size (n) = 52 Mean M = 47.2 Standard deviation…

Q: Compute for the best point estimate. HEIGHT (in inches) OF 12 GRADE 7 STUDENTS Jinyoung 70 Jun 72…

A: The data includes the height of 12 students in grade 7. The objective is to compute the best point…

Q: A company manufactures panes of glass. The probability that a pane of glass has bubbles is 0.01. If…

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Q: Application/ TIPS (must have numerical answers!) 12. The population of a school has the following…

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Q: 3 The following table shows information about students studying a particular course IFY IY1 Male…

A: Given that    IFY IY1 Total  Male 40 36 76 Female  51 24 75 Total 91 60 151

Q: If probability events A and B are independent what can we be sure of? P(ANB) = P(A) P (B) P(A) +…

A: From the provided information, There are two events A and B which are independent.

Q: 1. In how many ways can 3 boys and 2 girls be seated in a row for picture taking if the boys would…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the spinner below. 12 1 11 2 10 3 4 8 7 5 6 P(>2) =

A: For the given data p(>2)=? p(odd number ) =?

Q: b. What is the probability that a customer will spend more than 15 minutes in the bank given that he…

A: Let X amount of time one spends in a bank is exponential distribution  X~exp(1/10)

Q: What is the probability of getting at most four (4) heads in tossing a coin five (5) times?

A: Given that n =5 ,p=0.5 ,p(x<=4)=?

Q: Use the spinner below. 12 1 11 2 10 3 9. 4 5 6. 7 P(10) = %3D

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Q: Consider the following table. What is the probability that person uses social media frequently given…

A: Given that    Gen X Gen Z Total Use social media frequently often  30 70 100 Does not use…

Q: Refer to the following partial contingency table of probabilities that links the mode of…

A: Please note that as per our guidelines if multiple questions are posted we can answer one question…

Q: Three chess players, Garry, Anatoly and Vishy competed for fun. Two of them won and one lost.…

A: Won - Anatoly and Garry Lost - Vishy

Q: 1) Suppose Z~N(0,1). Find the following (round all answers to 4 decimals): a) P(Z 1.65) d) Find Z…

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Q: In a group of 20 friends, 9 like pizza, 11 like coke and 5 like both. If you know someone in the…

A: Given that  Total friends=20 Like pizza=9  Like coke=11 Like both=5

Q: Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each…

A: * SOLUTION :-

Q: Show E(Y²)

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Q: A bag contains 4 black counters and n white counters. Two counters are taken from the bag at random…

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Q: THERE ARE 3 ALGEBRA BOOKS AND 7 GEOMETRY BOOKS ON A SHELF. 10.) In how many ways can you arrange all…

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Q: Nine impact wrenches are to be divided evenly among three assembly lines. a.) In how many ways can…

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Q: A coin purse has 3 OLD one-peso coins and 7 NEW one-peso coins. Suppose you randomly pick a coin and…

A: Let A1, A2, ... , An be n mutually exclusive and exhaustive events with P(Ai) > 0 for all i = 1,…

Q: Randall at Churchill Circuits (CC) has just received an emergency order for one of CC's…

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Q: Let X denote the reaction time, in seconds, to a certain stimulant and Y denote the temperature (°F)…

A: Introduction: The joint probability density function, f (x, y) of the two continuous random…

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​,given that the…

A: The sample space of two fair dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: Customers arrive at Wholefoods independently at an average rate of 5 per minute. In any given what…

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Q: the bag and not replaced. If the number is even, a second disc is drawn from the Bag. If the IirSt…

A: here given, A bag contains seven discs, numbered from 1 to 7 inclusive. A disc is drawn at random…

Q: The pH water samples from a specific lake is a random variable X with probability density function.…

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Q: Between the hours of 2 and 4 p.m. the average number of phone calls per minute coming into the…

A: Given: The number of phone calls follows a Poisson distribution with mean = 2.5 calls per minute.…

Q: 3 4 A pointer is spun once on a circular spinner. The probability assigned to the pointer landing on…

A: From the given table Find P ( F/E) =?