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- 48.]A measure to determine the skewness of a distribution is called the Pearson coefficient of skewness (PC). The formula is sb s 3(X - MD) PC = S The values of the coefficient usually range from –3 to +3. When the distribution is symmetric, the coefficient is zero; when the distribution is positively skewed, it is positive; and when the distribution is negatively skewed, it is negative. Using the formula, find the coefficient of skewness for each distribution, and describe the shape of the distribution. be bre Mean 10, median = 8, standard deviation = 3. а. %3| %3D b. Mean = 42, median 45, standard deviation = 4. %3D C. Mean = 18.6, median = 18.6, standard deviation 1.5. d. Mean 98, median 97.6, standard deviation = 4. %3DA5. An ice cream seller takes 20 gallons of ice cream in her truck each day. Let X stand for the number of gallons that she sells. The probability is 0.1 that X = 20. If she does not sell all 20 gallons, the distribution of X follows a continuous distribution with a p.d.f. of the form 0i need the answer quicklyfind relative efficiencyLet X-T(4) and Y~ x2 (4). The following plot depicts the cumulative distribution functions of X and Y. We don't know which is which. The horizontal lines have values 25% and 75%. We denote by q1 the x-coordinate correponding to the red point and by q2 the x-coordinate corresponding to the blue point. Which of the following statements are true? 1.00 - 0.75 0.50 - 0.25+ 0.00 - The answer is : The cdf of X corresponds to the red curve while the one of Y corresponds to the blue curve. Can you explain why? Density3x-2y For x =-1,0,1 and y = -1,0. The joint distribution of X and Y is given by: f(x.y) = For x = -1,0,1 and y = -1,0. Then k = None of these O 18 24 36with solution plsPlease read the following question carefully and type the solution down accordingly. 2. 2. X obeys the t-distribution with n degrees of freedom, i.e., X-t(n), n>1. Then what is the distribution for Y=. ? X²An urn has 6 balls numbered 1 through 6. Select 3 balls (at once). Let X denote the largest value selected. (For example, if ball numbered 2,3 and 5 were selected, then X = 5.) a. Find the distribution table for X. b. Evaluate E(X) and V(X). c. Let Y2X 3. Determine E(Y) and V (Y).I need help with question and show step by step solutionThe time that it takes for the next train to come follows a Uniform distribution with f(x) =1/20 where x goes between 1 and 21 minutes. Round answers to 4 decimal places when possible. a. This is a Select an answer distribution. b. It is a Select an answer v distribution. c. The mean of this distribution is d. The standard deviation is e. Find the probability that the time will be at most 13 minutes. f. Find the probability that the time will be between 6 and 16 minutes. g. Find the 30th percentile. h. Find the probability that the time is more than 17 minutes given (or knowing that) it is at least 3 minutes.Qs: A fair coin is tossed three times. Let X denotes 1 or 0 according as a head or a tail occurs on the first toss, and let Y denote the number of tails which occur. Determine (Answer ONLY ONE): a. The distribution of X and Y b. The joint distribution h of X and Y