For a homoge nous Poisson proce ss, the intensity non - function is givn by. Act) =t for t in [o,nJond dcts sy for try S-6. Thot is, If SS=2, derrive the distribution of find PCS_652|ss=2).
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- Q/ Consider the following four points to interpolate for y = f(3.2) using: 1.0 0.1111 2.0 0.0625 3.0 0.0400 4.0 0.0278 1. Direct Fit Substitution.EX7.8) Let Y be a random variable having a uniform normal distribution such that Y U(2,5) 2 Find the variance of random variable Y.3.6.9. Let F have an F-distribution with parameters ri and r2. Argue that 1/F has an F-distribution with parameters r2 and r1.
- 1Example 23. A distribution x1, X2,..., Xp., Xp with frequencies, fp f2,..., f..., fn is transformed into the distribution y1, y2,.….., Y,.., yn with the same corresponding frequencies by the relation y, = ax, + b, where a and b are constants. Show that the mean, median and mode of the new distribution are given in terms of the first distribution by the same transformation.Q.39) A patient's blood pressure for the first 15 days of the month was recorded as follows. Systolic BP (SBP): 126,137,119,129,136,138,135,140,127,130,128, 139,134,136,132 Diastolic BP (DBP): 89,94,93,95,90,87,92,88,90,91,86,84,89,91,93 (i) Create a data frame with the names of columns as "Day", "SBP", "DBP" (ii) Calculate the max-SBP and max-DBP using R statistical function (iii) Calculate mean-SBP and mean-DBP using R statistical function (iv) Create an appropriate chart for the above data set.4. Let X - N(u, o²). The characteristic function (ch.f.) of X is given by $(w) = ejHw-o?w?/2, W E R, where j = v-1 is the imaginary unit. Use the ch.f. to find the mean and variance of X.
- 3. Let X Pois(4). Find the distribution of Y = √X.The data below shows the maximum temperature (e) and ike number of bau's of Soupe sold at Gd's Gtrace Canteen on eleven randomly tset last year. Selected degs. (2345 67891011 32362229251811|1685 2 Boesls Sslell2/21010203545 Sosos763 Day üfind tke mean maximum tamperature, y of Soup recorded. ) Plot and label the poit M en the Scatter diagram. Ca) Re line of passes throigh The point M and thhe y-intercept (0,33.2). Draw his line on your graph. lw Find the equation of the line of best On another day of the year, the tumperature was 20€. Uong the equation of the line estimate e nuinber Seld on that day. best fit fr the data fit of best it, of boulsThe df for the correlation are based on the number of observations minus 2. a) True b) False