Q. 25 If a Poisson variate X is such that P (x = 1) = P(x=2), Work out P (x = 4).

Q: EX7.8) Let Y be a random variable having a uniform normal distribution such that Y~U (2,5) Find the…

A:

Q: Let X denote the number of successes in a series of n independent Bernoulli trials with constant…

A: Given : Let X denote the number of successes in a series of n independentBernoulli trials with…

Q: correlation coeffi-

A:

Q: Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of…

A: The central limit theorem studies the nature of the sampling distribution of the sample mean when…

Q: P(z<2.25)=

A: Given Information: To find out Pz&lt;2.25

Q: Consider a random sample from NB(r, p) where the parameter r is known to be 3. An experiment is run…

A: Consider a random sample from  where the parameter r is known to be 3. An experiment is run with n =…

Q: If X is a Poisson variable such that P(X= 2) = 9P(X = 4) + 90P(X=6), find the mean and variance of…

A: Let X be the random variable from Poisson distribution  with P(X=2) = 9P(X=4) + 90P(X=6)  Then,  We…

Q: If X is a poisson variate such that p ( x = 1 ) = 24 P ( x = 3 ). Find the probability p ( x = 0)o…

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Q: If X is a Poisson variate with mean , show that =1\| = ? 2 Е(x)- ЛЕ(x +1). If л%3D1 show that E\x -…

A: Poisson distribution:

Q: oFind ke mean maximum tamperature, Soup recorded. M) Plöt and label the point ME the Scater diagram.…

A: Given data To find: i) mean of the temperature ii) scatterplot iii) scatterplot with regression line…

Q: Given that P(X = 2) = 45P(X = 6) - 3P(X = 4) for a Poisson variate X. Find a. P(X > 1) b. P(X < 2)

A: First we have to determine the parameter of Poisson variable X with the help of given equation.

Q: 3. If X is x² (23), find the following: a) P(14.85 < X < 32.01) b) constants a and b such that P(a <…

A: i.e. X follows chi-squared distribution with 23 degrees of freedom.

Q: Let the r.v X~P(4). Then the mean and variance are? Find Pr(X>5)?

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Q: If the mean of a poisson variable X is 1, what is P(x = at least one) ?

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Q: Let X - T(28). Find P40(x) (50th percentile of X)

A: The (100p)th percentile is the value xp of the distribution such that (100p)% of the distribution…

Q: Ex:- let S2 be the variance of ar.s of size six from N(u,12) find Pr(2.30 < S² < 22.2)

A: Given: Sample size n=6 σ2=12 We have to find P2.30&lt;S2&lt;22.2 First we must change the…

Q: If x is approximately  Poisson, compute ( P(X=2), Px=10, pX=0, pX=0.5. If the mean = 3

A:

Q: Now say we fit the model described in Q15 (with both X and W), call this model 1. Next, we fit a…

A: # Given model1 y=b0+b1*x+n2*w +e  model2 y=b0+b1*x +e  to check that intercept estimate of b0 is…

Q: Let X - T(25). Find P30(X) (30th percentile of X)

A: Solution: From the given information, X follows T distribution with degrees of freedom 25.

Q: If X is b(100,0.1), how do you find the value of P(12 < X < 14) using the normal approximation and…

A: The given data is as follows:The probability shows how likely an event occurs and its value lies…

Q: a) Find mean and variance of distribution by using M.G.F technique.(1 – p)* p

A: Note: Hey there! Thank you for the question. As you have posted multiple questions, we have helped…

Q: Peak heart rate was determined both during a shuttle run and during a 300-yd run for a sample of…

A: Solution

Q: Exep. 2. PROve Tuat opTimaL 1 Variance V= Di bouND Saris Fies THe uppeR < min Ai V

A: To prove - Prove that optimal Variance V = 1∑i = 1k1∆i satisfies the upper bound V &lt; min1≤i≤k∆i

Q: Suppose P(A) = P(B) = 0.2 and P(AN B) = 0.1. What is P(AU B)?

A:

Q: Let x = (X1, X .. Xy, ....., xm) be a data set with a sample mean Show that E-(x; – x) = 0.

A: Given : Let x = (x1 , x2 , -------, xi,-----,xn) be a data set with a sample mean x¯

Q: The following data represent the number of touchdown passes thrown by a particular quarterback…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: If X is a Poisson variate such that P(X = 1 3/10 and P(X = 2) = 1/5 Find P(X= 0) and P(X = 3).

A: Given that X is a Poisson variate. PX=x=e-λλxx!, x=0,1,2,... Given that P(X=1)=3/10.…

Q: 1 b) For any data set, approximately 95% of the observations fall in the interval (T − 2s, T+2s).…

A:

Q: An interpolation function, P(x), for e 2 x between x=0 and x=.5 was found using the following data…

A: No. of Data Point = 6 x = 0.25 f(x) = e2x Formula for Upper Bound:E =…

Q: Suppose X ~ N(2,3). What value of x has a z-score of -0.67?

A: Given, X ~ N(2,3) Implies, Mean = 2 Standard deviation = 3

Q: If u = x1x2 + x2X3 + X3X1, then find the relative percentage error in the computation of u at x1 =…

A: In the given question we have to calculate the relative percantage error in computation of u where…