The volatilities recorded over a 100-day period on the S&P500 are Y1, Y2, ... Y100. Assume that these Yi's are independent and identically distributed, uniform on the interval [5,15]. Let V = (Y1 + Y2 + ... + Y100)/100. What approximately is P[9.5 < V < 10.5]?

Q: 34. Find the mean and variance of the distribution P[X=x]=2x, x=1,2,3....

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Q: d) Due to the symmetry of the normal distribution we know that P(X > 30) = P(X <

A: Givenμ=42σ=6Let "X"=length(in cm) of an eel

Q: d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).

A: GivenMean(μ)=44standard deviation(σ)=8Let "X" be the length(in cm) of aneel

Q: (d) Let i = 0.01 be the estimates of the population mean of Goldman Sachs cc returns and its…

A:

Q: 2. For a chi-squared distribution, find x such that (a) P(X² > x²) = 0.99 when v = 4; (b) P(X² > x²)…

A: Step 1:For a chi−square distribution,find Xα2​Part a: X_{\alpha}^2 )=0.99 \ , when \ v=4…

Q: For a normally distributed random variable with mean is 44 and standard deviation is 15, Find the Z…

A: Answer: From the given data, mean (μ) = 44 Standard deviation(σ) = 15

Q: REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both…

A: Given: n1 = 9 Children. X1 = 2.7 Hours. n2 = 9 Adults. X2 = 2 Hours. α = 1% = 0.01

Q: · 6.3-5. Let Y₁ < Y2 < ... < Yg be the order statistics of eight independent observations from a…

A: Step 1: Binomial probability: P(X=k)=(kn​)∗pk∗(1−p)n−k Step 2: π0.7​​=27.3n=8This represents that…

Q: Let X ∼ N(2, 4). (a) What is the distribution of (X−2) /2 ?

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Q: The annual rate of return on an investment each year is an independent and identically distributed…

A: Given that the annual rate of return on an investment each year is an independent and identically…

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: 3. Which is a continuous random variable? X = "number of petals on a sunflower" Z = "results of…

A: A discrete random variable takes discrete values.  A continuous random variable takes continuous…

Q: A normal distribution has u = 30 and o = 5. (a) Find the z score corresponding to x = 25. (b) Find…

A:

Q: Let X denote the distance (m) that an animal moves from its birth site to the first territorial…

A: Given The cumulative distribution function of X is

Q: Find the mean and variance for the probability distribution given by f(x)= 2x k(k+1)* -,x=1,2,3,...k

A:

Q: A Gaussian distribution of the ground clearance of aircraft flying in the sky. Suppose there is a…

A: It was stated that a Gaussian distribution of the ground clearance of aircraft flying in the sky.…

Q: the time between breakdowns for a particular machine is 1 A service engineer receives on average an…

A: Note that all the given questions here is the case of exponential distribution and we know form the…

Q: Let data be x1, . . . , xn. each data-point xi is normally distributed, with unknown mean θ and…

A: We have a random sample X1,X2,....,Xn which is normally distributed with unknown mean θ and standard…

Q: The number of deaths caused by accidents on a stretch of motorway have been measured for the 30…

A: As Prof. P. K. Giri said "A chi-square test, or specifically Pearson's chi-square test is performed…

Q: suppose the income of workers at your job follows a normal distribution. if you standardisize their…

A:

Q: Let xyz be the random quantities of three standard normal distributions, corr(X,Y) = 0.3, corr(X,Z)…

A: It is given that XYZ are the three quantities of the three standard normal distributions. The…

Q: Prove that the E(X) = 1/p for a geometric distribution, where x is the number of trials.

A: The geometric distribution with probability that ranges from 0 to 1 is a discrete probability on the…

Q: Let X1 and X2 be independent random variables from a normal distribution with mean equal to one and…

A: X1,X2 are independent normal random variables, N(1,12)Objective : Find the distribution of…

Q: 1. Assume that Z is a standard normal random variable (i.e., it is a normal random variable with…

A: It is an important part of statistics. It is widely used.

Q: Parts (a) and (b) are both related to normal distribution but are not directly connected to each…

A: a)Mean= -1 , Standard deviation = 2

Q: Today, the waves are crashing onto the beach every 5 seconds. The times from when a person arrives…

A: Given,A random variable X~U(0,5)f(x)=15    ;  0≤X≤5

Q: 3- 3 f(r) = I = 0,1,2, 3.

A: We have given that  Number of trials n=3 Success of probability p=1/4=0.25 q=1 - p= 1 - 0.25 q=0.75…

Q: Let X be a random variable with a uniform distribution over the interval [-2 , 4].   Determine the…

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Q: Assume that ex has a normal distribution with a specify mean and standard deviation mean =18…

A: Obtain the standard z-score for the random variable X equals 30. The standard z-score for the…

Q: 2. The values of Mean, Median and Mode of such a distribution are identical This means, X = M = Z.

A:

Q: If X is a random variable having a normal distribution with the mean μ and standard deviation σ, how…

A: Let X be a continuous random variable having a normal distribution with the mean μμ and standard…

Q: Check in each case whether the normal approxima-tion to the binomial distribution may be used…

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Q: F(144) Generation Y has been defined as those individuals who were born between 1981 and 1991. A…

A: Population proportion : P=0.60 Sample size : n=190 Sample proportion : p p follows normal…

Q: May is tornado season in Oklahoma. According to the National Weather Service, the Poisson rate of…

A: The occurence of tornadoes in Oklahoma, during the month of May, can be modelled as a Poisson…

Q: he daily demand for a certain product is approximately normally distributed with mean 50 and a…

A: Given Data: Mean=50 Variance=100   X~ Normal (50, 102)

Q: domly selectec ollows F-distri

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Q: Areas under normal distribution curves can be used calculate probabilities of many random variables…

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Q: you should calculate the required probabilities using tables A model for normal human body…

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Q: If the mgf of a random variable x is M(t) = (4/9 + 5e' /9)7 , then x has a binomial distribution…

A: We have given that  Moment genrating function mgf.M(t) X~binomial ( n , p ) Given binomial mgf.

Q: Does T-distribution have asymptotic tails?

A: Here asked about t distribution

Q: Do you carpool? Let l'represent the number of occupants in a randomly chosen car on a certain…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.