A water bottle manufacturing have two major flaw components. Let X denote the number of flaws on the bottle cap and let X₂ denote the numbe of flaws on the bottle surface. Suppose the joint frequency table of X₁ an X₂ is given by the accompanying table. 0 8 00 X2 1 7 25 2 5 3 1
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- 76026 A set of five identical coins is tossed 200 times and number of heads appearing each time is recorded Number 29 1 4. of heads Frequency 122 60 15 1 Test whether a coin is unbiased. 3. 2. 2.1. Let X and Y be independent continuous random variables with PDFs fx(x) and fy (y). (a) Find a general expression for the CDF Fz(z) = P(X+Y ≤z) of their sum Z = X + Y by integrating the joint PDF fx,y (x, y) over an appropriately chosen region of xy-space. (b) Next, by differentiating this expression with respect to z, show that the PDF fz of Z is the convolution of fx and fy, that is, fz(z) = fx (z-y) fy (y)dy. Note: In doing so, you may assume that is possible to "differentiate under the integral sign”, that is, interchange the order of the derivative and the "outside" integral in your expression for Fz (z). Then apply the Fundamental Theorem of Calculus.#11
- please show calc functions ti-84Illustration 11.13. From the following frequéncy distribution cal- culate the first four moments, B1 and B2. Class 10-14 1 15-19 4 20-24 8. 25-29 19 30-34 35 35-39 20 40-44 45 –49 1 50-54 5A graduate-level computer science course only gives the grades of A, B, or C. The department has determined that there should be 40% A's given, 40% B's given and 20% C's given as final grades for the course. For the spring 2021 semester, 200 students took the course and 100 students received A's, 50 students received B's and 50 students received C's, so those are my observed frequencies. We want to do a Chi-square Multinomial Goodness of Fit test to see if our grading guidelines match up with what is actually happening. What is the expected frequency for the grade of B category? Round your answer to the tenths position.
- Dr.Blume has trained observers to use frequency recording to record the behavior of 12 schizophrenic clients. According to the analysis of the data κ = 0 . 47, do you think the observers are sufficiently trained to allow Dr. Blume to proceed with the research?these go together. Can you guys bring back your live chat please?2. 25 values of two variables X and Y are given below. Form a two-way frequency table. Take classes of X as 10 to 20, 20 to 30 etc, that of Y as 100 to 200,200 to 300 etc. X 12 34 33 22 44 37 26 36 55 48 27 52 41 37 21 51 Y 140 266 360 470 470 380 480 315 420 390 440 312 330 390 590 250 X 27 42 43 52 57 44 48 48 69 Y 550 360 570 290 416 380 492 370 590 Obtain (i) the marginal frequency distributions of X and Y. (ii)the conditional distribution of X when Y lies between 300-400. (iii) the conditional distribution of Y when Y lies between 40-50.
- One hundred students in a statistics course kept track of the time they spent on social media over the weekend. Each student recorded his or her time rounded to the nearest minute, so each observation is a whole number. The data are presented in the form of a frequency histogram. 26 25- 20 20- 16 15 14 12 10- 120 150 I80 210 30 Minutes on social media Each interval on the histogram contains the left endpoint, except for the last bar, which contains both the left and right endpoints. Give the lower and upper bound for the median number of minutes spent on social media over the weekend by the students enrolled in the class. The lower bound is the largest number that is less than or equal to the median, and the upper bound is the smallest number that is greater than or equal to the median. lower bound = 60 upper bound = 85 KouanbasgThe figure below shows relative frequency histogram for 50 concrete cubes classified according to compressive strength of the cubes. While x-axis represents the class midpoints of compressive strength, y-axis represents relative frequency for concrete cubes. Determine the harmonic mean of compressive .strength of the cubes