A continuous random variable has a p.d.f. ſkx³(1 – x)²0 < x < 1 | f(x) = Ootherwise
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a) Find value of k
b) Find the
c) Find the variance
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- The results of a two-factor analysis of variance produce df = 2, 36 for the F-ratio for factor A and df = 2, 36 for the F-ratio for factor B. How many participants are in each of the treatment conditions? A.) 4 B.) 5 C.) 6 D.) 10Solve for the variance of the weight of all the beans in a box. Also explain where did you get the formula for varianceWhat is the difference between Micro and M? a. Micro (u) is the variance and M is the mean b. Micro (u) i sthe median and M is the mean c.Micro (u) is the mean of the sample and M is the mean of the population d. Micro (u) is the mean of the population and M is the mean of the sample
- Suppose X∼Bin(20,0.8).X∼Bin(20,0.8). What is the variance of XX? A. 15 B. 16 C. 5 D. 10 E. 3.2Assume that you have a random variable X which is binomially distributed, and someone told you that the mean of this variable is (6) and variance is (4.2). Find P(X=5).Ensure the RaceResults worksheet is active, then use the FREQUENCY function to calculate the frequency distribution of the race results in column D. Place your results in the range G4:G9. Enter a function in cell F22 to calculate the correlation between age (Columns C) and race time (Column D). Enter a function in cell G22 to calculate the covariance between age and race time. Enter a function in cell H22 to calculate the variance of the ages in the data set. Note this is a sample of data not a population. Enter a function in cell 122 to calculate the standard deviation of the ages in the data set.
- thanks for attempting my question. would appreciate a quick response and an explanation. thanks Question 1 of 4 Assume that we have 6 manifest variables and 3 factors. The communality of 3 on variable 74 is obtained with the following: 34 O B. Y 34 O D. Y43 Question 3 of 4 Assume we have 6 manifest variables and 3 factors. The proportion of variance in the 2nd manifest variable accounted for by all of the factors can be represented as follows: O A. 22 О в. C. 13 33 Y 63 O D. 2-2; = Y21 +?22+?23A fair coin is tossed three times. Let X denote 0 or 1 according as a head or a Tail occurs onthe first toss, and let Y denote the number of heads which occur. Determine the following: a. the distribution of X and Y;b. E(X) and E(Y);c. Variance and SD of X; andd. Variance and SD of YFind the variance of the data
- Let X₁, X2,..., be a sequence of independent and identically distributed random variables, each with a mean value x and variance ok, both of which are assumed to be finite. Let N be a discrete random variable independent of X₁, X2,..., and assuming values in the set {0, 1, 2, ...}, with mean value N and variance ok (both are finite). Form the random-compound sum Y=1 Xk, with the convention Y = 0 whenever N = 0.R² is: O The ratio of the variance accounted for by the predicted values of Y to the variance accounted for by the observed values of Y. O The ratio of the variance accounted for by the observed values of Y to the variance accounted for by the predicted values of Y. O The MSR divided by the MS. O The SS, divided by the SSy.A Hollywood studio believes that a movie that is considered a drama will draw a larger crowd on average than a movie that is considered a comedy. To test this theory, the studio randomly selects several movies that are classified as dramas and several movies that are classified as comedies and determines the box office revenue for each movie. The results of the survey are as follows. Assume that the population variances are approximately equal. Box Office Revenues (Millions of Dollars) n x S Drama 14 150 50 Comedy 16 120 10 Copy Data Calculate a 99 % confidence interval for the difference in mean revenue at the box office for drama and comedy movies. Let dramas be Population 1 and comedies be Population 2. Write your answer using interval notation and round the interval endpoints to two decimal places.
