2" Find the characteristic function of the Erlang distribution given byf(x) = n - -ax e U(x) and hence find its mean and variance.

Q: The mean weight of 500 male students in a certain college is 151 lbs. and the standard deviation is ...

A: Given,sample size(n)=500mean(μ)=151standard deviation(σ)=15

Q: An urn contains nine blue balls and five yellow balls. If four balls are selected randomly without b...

A: GivenA urn contains No.of blue balls = 9No.of yellow balls =5Total no.of balls =14

Q: Which of the following is a correct interpretation for P(x > 35)? O a. determine a probability that ...

A:

Q: c. What is the distribution of) x? > x - N( 210 , 8.5381) d. If one randomly selected runner is time...

A: As per guidelines expert have to answer first question three subparts only  here three subparts are ...

Q: Suppose that X is a discete random variable with the following probability mass funcion : 2 3 p(x) |...

A: Given  X 0 1 2 3 Frequency 4 3 3 2

Q: What is the variance of the pointy-eared puppies distribution (n-4, p(pointy)=0.25, and p(floppy)=0....

A:

Q: Theorem 3.9. For two events A and B, P (AnB) = P(A) .P (B IA), P(A) > 0 = P (B) . P(A \B), P(B) >0 }...

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Q: Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution...

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Q: A normal distribution has a mean of 0 and a standard deviation of -1.0. Is this possible? Explain. ...

A: I want to tell you which one is the correct choice  Given  Normal distribution with mean=0 and stand...

Q: What is the expected number of stiff-eared puppies (n=4, p(pointy)=D0.25, and p(floppy)=0.75)?

A: The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or f...

Q: If arithmetic mean and geometric mean of two values are 10 and 8 respectively, find valucs.

A:

Q: A prize of $100, $200, $500, or $1000 will be randomly awarded to a game show contestant, with the p...

A:

Q: Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. ...

A: Given the statement:  A sampling distribution is normal only if the population is normal.    

Q: Problem 1. Let X(t) be a wide-sense stationary Gaussian process with mean ux = 10 and autocovariance...

A: GivenX(t) b a wide sense stationary Gaussian Process.μX=10The auto Covariance function isCxx(τ)=49+τ...

Q: - TABLE 6E.15 Additional Thickness Data for Exercise 6.35. Subgroup X1 x2 x3 x4 21 454 449 443 461 2...

A: Given TiW layer is deposited on a substrate using a sputering tool.Table 6E.14 contains layer thickn...

Q: The number ol hts to a website folows a Passon process Hts occur at the rate of 32 per minte between...

A:

Q: Calculate the regression line of performance ratings on experience and estimate the probable perfor-...

A: Here given  x = experience in year. y = performance rating   

Q: (a). Find the missing frequency from the following data:. 10-20 Marks: 0-10 20-30 30-40 40-50 50-60 ...

A:

Q: Assume the buses listed in the spreadsheet are the entire population we are interested in. Test to ...

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for...

Q: During the nutrition research, the amount of consumed kilocalories per day was measured for 18 peopl...

A: For Women     The 90% confidence interval for women is (1753,1951) .  

Q: Consider the probability distribution in the given table. Calculate E(X-). 1 2 3 f(x) 1/8 3/8 3/8 1/...

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Q: g. For part e) and f), is the assumption of normal necessary? O YesO No h. The top 15% of all 10 per...

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Q: Analysts of traffic control systems believe that the average speed of heavy vehicles on highways has...

A: Given,sample size(n)=36population mean(μ)=57 standard deviation(S)=5sample mean(x¯)=55H0:μ=57H1:μ&lt...

Q: The average math SAT score is 522 with a standard deviation of 112. A particular high school claims ...

A:

Q: Let f, g be probability densities such supp(f) c supp(g). show yes iid. L(g) X1,..., Xn then f(X;) W...

A: Success of the scaling theory in correctly predicting various exponent identities strongly supports ...

Q: Let X~s f(x;8) where f(x; 8) = - exp{-|x – 0|}I(-o,0)(x), 0 E R. Find the MLE of 8 %3D

A: We have given that  X follows f(x, theta)    We have to find the maximum likelihood estimator of th...

Q: The mean weight of 500 male students in a certain college is 151 lbs. and the standard deviation is ...

A:

Q: (ii) If X is uniformly distributed in (0, 1), find g (x), so that the random variable Y = g (X) may ...

A:

Q: Find the Quartile Deviation and its Coefficient from the following data, relating to the wéekly wage...

A: Given that  The data are50,70,80,60,65,40,90

Q: The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or f...

A: Given information:- Statspoodle has pointy ears is p(pointy) = 0.25 Statspoodle has floppy ears is p...

Q: Example 4. Calculate Coefficient of Correlation from the following results : n= 10, ΣX =100, ΣΥ- 150...

A: We have given that,  n = 10, ΣX = 100 , ΣY = 150, Σ(X-10)2 = 180,  Σ(Y-15)2 = 215 and Σ(X-10)*(Y-15)...

Q: What functions below can be used to turn a left-skewed distribution closer into becoming a symmetric...

A: Given info: The function that can be used to turn a left-skewed distribution closer into becoming a ...

Q: Given the bivariate data: 3 5 2 3 2 1 5 Y 6 (a) Fit a regression line of Y on X and thence predict Y...

A: The least square regression line Y on X is given by,   ŷ = bx+a Where  b= {n*∑xy-(∑x)*(∑y)}/{(n*∑x^2...

Q: A researcher randomly selected 70 of the nation's middle schools and interviewed all of the teachers...

A: According to the answering guidelines, we can answer only one question at a time and the rest can be...

Q: Find the class intervals if the arithmetic mean of the following distribution is 33 and assumed mean...

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Q: 2. Those second prize winners missed the first prize by just one number. How much harder is it to wi...

A: Given that, in a lottery game, the first 5 numbers were drawn from 1 to 53 and the Powerball number ...

Q: 1. Let X be a random sample from a population with pdf f(@lx) = ex®-1,0 x0 a. Is Sn sufficient for e...

A: We have to find the sufficient estimator of theta and also complete : 

Q: The mean massed of random samples of 21 blocks is 24 kg with a standard deviation of 1.50 kg. Determ...

A: Givensample size(n)=21Mean(x)=24standard deviation(s)=1.50confidence interval = 905

Q: Calculate the first four moments about the mean and also the value of B, and B, from the following d...

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Q: In general, E(XY) + E(X) × E(Y), but if X and Y are E(XY) = E(X) × E(Y). independent RVs,

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Q: r.s. 5. ! Let Let X N(µ,o²) of size n. Find an MLE for u and o?.

A: Given: x~N(μ,σ2)f(x)=1σ2πe-12x-μσ2

Q: Suppose the age that children learn to walk is normally distributed with mean 13 months and standard...

A:

Q: A researcher is interested in examining the relationship between ACT scores and college GPA. What ca...

A: Given: Participant ACT GPA 1 24 2.75 2 28 3.25 3 29 3.5 4 35 3.75 5 34 4 6 30 3.8 ...

Q: The mean weight of 500 male students in a certain college is 151 lbs. and the standard deviation is ...

A: Let X denote the weights of male students in a certain college. Given that X follows N(mean = 151, S...

Q: identify the variable type (independent or dependent). For the independent variable, indicate whethe...

A: Given information: The information about some variables is given.

Q: The mean of a distribution is 15 and the standard deviation is 3. Use Chebyshev's Theorem and the fo...

A: Chebyshev's Theorem : For any data se the proportion of observation that lie within K standard devi...

Q: neight of 54" with a SD = 5.7". Find each to represent infinity in calculations for this in to repre...

A:

Q: 3. A production facility has two stages in tandem, with no waiting room in between. Scrvice times at...

A: @solution:::  

Q: 10. A measure of the right atrial pressure (mm Hg) was made for cardiac patients who were given Capt...

A: The appropriate test statistic to conclude the indifference between the mean right atrial pressure o...

Q: If X and Y are independent RVs and if Y is uniformly distributed in (0, 1), show tinat the density o...

A: