i. ii. iii. the value of k; the cumulative distribution function of X; P(X <3). P(X<3).
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Given that
Probability mass function of X is
P(X = x) = kx2 , for x = 1 , 2 , 3 , 4
Step by step
Solved in 2 steps with 1 images
- Activity Directions: Read the following statements carefully. Write ND if the statement describes a characteristic of a normal distribution, and NND if it does not describe a characteristic of a normal distribution. 1. The data in a normal distribution can be spread out to the left and to the right. 2. The normal curve can be described as asymptotic. 3. The normnal curve extends indefinitely in one direction. 4. The normal curve is symmetric about zero. 5. The area under the curve bounded by the x-axis is equal to 0.5 or 50%.Textbook prices have a seasonal structure on Ebay. At the end of a term, the supply of used books outstrips demand, and the price is lower. Near the start of a term, many students are looking for books, and the price is higher. Suppose we can classify sales for a particular chemistry textbook into these two time periods and an "other" time period in the proportions shown below. We have also listed the average price the textbook sells for in each of these three time periods Start of Term End of Term Other Sales Proportion Average Price 0.43 0.31 0.26 97.97 49.93 73.83 For example, about 45% of Ebay auctions for this chemistry textbook occur at the start of the term and the books sell for an average of $82.52 during this time. Using the information above, compute the average price of the textbook over all seasons. (Do not put a dollar sign in your answer). Round your answer to two decimals. Average Price over all seasons = $Need help with unanswered portions
- 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. %3DRound off your final answer to four decimal places. Indicate unitsThe following function is a cumulative distribution function. x < -10 0.15102-2Please 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=. ? X²Select the correct choice (i, ii, or iii) for each a, b, c, d, and fill in any answer boxes in your choice below. (Round to one decimal place as needed.) i. x ≤ ___ % ii. x ≥ ___% iii. ___% ≤ x ≤ ___%Can i get help with the question attached below.K Consider the distribution of the monthly sales of rain ponchos over a one-year period at a store in Niagara Falls (the distribution will look best if you start from January). Complete parts (a) through (d) below a. How many peaks would you expect for the distribution? OA. There would probably be three peaks, one for the months with low sales, one for the months with average sales, and one for the months with high sales. (OOOD OB. There would probably be many peaks corresponding to the different sales each month. OC. There would probably be no peaks. The monthly sales of products tend to form a uniform distribution OD. There would probably be one peak corresponding to the summer months. b. Make a sketch of the distribution. Choose the correct answer below OA OB. OC. Q M малла GOO r seestore see score see score see score see score 85.17%The Lorenz curve of income distribution in a small mountain nation is f(x)=0.5x¹ +0.3x³ +0.2x The Gini coefficient (index) of inequality for this nation is . . . O...y=0.562 O...y=0.513 O...y=0.37 O...y=0.45
