A theater finds that 5% of the persons making reservations on a certain concert wi not show up. If the theater has 155 seats only but sells 160 tickets for the concert, what is the probability that a seat will be available for every person holding a reservation and planning to attend?

Q: The standard deviation of X, denoted SD(X), is given by SD(X) = /Var(X). Find SD(aX + b) if X has…

A: Given that  S.D(x)= √var(x)

Q: If 20% of the bolts produced on a machine are defective, determine the probability that 4 randomly…

A: Let X be the number of defective  Let p be the probability of defective  p= 20%, n=sample size  n=4…

Q: Read and understand the situations below then identify the rejection region. Follow the given steps…

A: For the given data Identifying the rejection region

Q: A person draws 3 cards without replacement from a standard 52-card deck. Find the probability of…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: If the probability of engine malfunction during any one hour period is p = 0.02 and Y denotes the…

A: Given data, the probability of engine malfunction during any one hour period is p = 0.02 Let Y…

Q: The probability of a man hitting a target is 1/3. How many times must he fire so that the…

A: Given P(at least once)>0.9 P(hitting a target)=1/3

Q: If X is uniformly distributed over (0,1), find the density function of Y = eX

A: Solution

Q: Describe the event U u E' in words. This is the event that an author is either unsuccessful or not…

A: It is given that Total = 100 Number of unsuccessful authors = 66 Number of not established authors =…

Q: q- A random variable is normally distributed with a mean of μ = 50 and a standard deviation of σ =…

A: Given that.   X~N( μ , ?^2 )   μ=50   , ?=5   Z-score =( x - μ )/?

Q: Consider the population : {1, 2, 3, 4, 5}, and suppose this population has the uniform distribution.…

A:

Q: A study of working actors looked at age and gender. One sample of 45 male actors had a mean age of…

A: Given that,  n1=45, X1bar=28, sigma1=5 n2=45, X2bar=35, sigma2=3 We have to find 92% confidence…

Q: In a game of risk, the attacker rolls 5, 2, 2. If the defender rolls a 4 on the first die, what is…

A:

Q: Given the situation below, create a problem and determine (a) the null and alternative hypotheses,…

A: Hypothesis testing follows a standard five-step procedure.

Q: A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed…

A:

Q: First a coin is tossed and then a four-sided die is rolled. How many possible outcomes are there? O…

A: Sample space of a coin is  toss and a four sided die is rolled.  {H,T} and {1,2,3,4}

Q: Kajan repeatedly rolled a die and he was getting frustrated that he could not roll his favourite…

A: Let p be the Probability of getting 3

Q: The accompanying table shows the âges (in years) of 11 Chliun Click here to view the data table.…

A: As it is found that, the correlation coefficient is r= 0.976 Sample size is n= 11 Then test…

Q: Let X be a random variable that takes on values between 0 and c. That is, P(0 < X< c) = 1. Show that…

A: Solution-: Let, X -be a continuously random variable takes values between 0 and c i.e. P( 0≤X≤c)=1…

Q: on a shelf with space for seven books. What is the probability that all the books in the same…

A: HERE given there are total 7 books  3 french books and 4 spanish book

Q: 11.

A:

Q: Explain the ratio to trend method of computing the indices of seasonal variations.

A:

Q: Two fair 6-sided dice are rolled. Let A = the event that the dice add to 8, and let B= the event…

A:

Q: 8. If X is uniformly distributed over (–1,1), find a. P(\X|>;) b. Density function of the random…

A: Solution

Q: Suppose X and Y have joint probability density function f(x,y,z)= a[x²+xyz),0sxs1,-1sys1,1szs2…

A:

Q: A new sneaker claims that it can make male athletes jump higher. A sample of 47 male athletes were…

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Q: Professor Tough's final examination has 20 true-false questions followed by 3 multiple-choice…

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Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: Hello! As you have posted 3 different questions, we are answering the first question. In case you…

Q: Q. 7 How do you construct of cost of living index number.

A:

Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 0.1. What is the probability that A or B…

A: Given,P(A)=0.5P(B)=0.25P(A∩B)=0.1

Q: There are hundreds of apples on the trees, so you randomly choose just 59 apples and get a mean…

A: Given,sample size(n)=59sample mean(x¯)=81.47standard deviation(s)=4.08degrees of…

Q: Suppose we select, without looking, one marble from a bag containing 7 red marbles and 8 green…

A: From the provided information, The bag contains 7 red marbles and 8 green marbles. Total marbles = 7…

Q: A box contains 3 white, 2 red, and 5 black marbles. One marble is chosen at random, and it is not…

A:

Q: The output below estimates the following regression Treat; = Bo + B1 · Female; + e; Based on the…

A: As the regression coefficient corresponding to female is 0.0051549 which much lower. Also from P…

Q: convic-tions by early adulthood. Out how many would you expect to have felony convictions by early…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS    here use binomial distribution  n = 50  p =…

Q: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Let p be the proportion of vaccinated people. Given that p = 0.52 Let X denotes the number of…

Q: (v) Matiz and Palio and not chevlot (vi) Only one of the car

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Q: You will take either a basket-weaving course or a philosophy course, depending on what your advisor…

A:

Q: (vii) at least one of the car (viii) none of the car.

A:

Q: The random vector (X,Y) has joint pdf 0<y <x < 0 elsewhere fxv (x, y) = Cee %3D %3D (a) Find C (b)…

A:

Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

A:

Q: 1. In your study, the population size is 10,000. What is the size of your sample if you allow 2%…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION    here given population size  N =…

Q: 7. Following table gives data on time in minutes for an operation taken by 200 workers. Time in…

A:

Q: dom sample of size n = 41. at is the mean of the distribution of sample means? |(Please enter an…

A: Given data,μ=140σ=39.4n=41

Q: The heights of American adult males are normally distributed with a mean of 177 cm and a standard…

A: Empirical rules:1) P(μ-σ&lt;X&lt;μ+σ)=68%2) P(μ-2σ&lt;X&lt;μ+2σ)=95%3) P(μ-3σ&lt;X&lt;μ+3σ)=99.7%

Q: Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) =…

A:

Q: In a large clinical trial, 397,922 children were randomly assigned to two groups. The treatment…

A:

Q: 1. Compute E[X] and Var(X) if X has a density function given by Gxe-x/2 x > 0 (0, otherwise a. f(x)…

A:

Q: Record the number of individuals passing the nearest road intersection (your house is the point of…

A: The probability distribution of a discrete random variable will be Poisson distribution if i) all…

Q: The random variable, X, representing the number of cherries in a cherry cake, has the following…

A: The random variable x denotes the number of cherries in a cherry cake.

Q: V. Distributive Laws : If A, B and C are any three sets, then (1) AU (Bn C) = (A U B) n(AUC)

A: