25A Pizza Hut sells three sizes of pizza: Regular, Medium, and Large. These are priced at$3.00, $3.20, and $3.40 per pizza, respectively. Let X₁, X₂, and X, denote the amounts ofthese pizzas purchased on a particular day. Suppose X's are independent and followsnormal distribution with μ = 1000, μ₂ = 500, μ = 300 and ₁=100, σ₂ = 80,σ; = 50.The revenue from sales is Y=3.0X₁ +3.2X₂ +3.4X3. Find the probability that revenueexceeds $4500.Answer Choices:a. 0.8955b. 0.9955c. 0.7955d. 0.0045

Pizzas are priced at: $3.00, $3.20 and $3.40. Assuming , , denote the amounts of the pizzas…

Answered: 25 A Pizza Hut sells three sizes of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure 1 scatter plot. Also given is the product of the birthrate and the female life expectancy for each of the twelve countries. (These products, written in the column labelled "xy", may aid in calculations.) Birthrate, x (number of births per 1000 pop.) Female life expectancy, y (in years) 41.3 15.6 52.1 32.0 47.0 49.7 27.2 19.8 13.3 24.6 36.4 49.4 Send data to calculator 66.8 76.7 60.5 62.2 58.9 53.4 71.2 72.8 73.9 74.3 66.2 63.0 xy 2758.84 1196.52 3152.05 1990.4 2768.3 2653.98 1936.64 1441.44 982.87 1827.78 2409.68 3112.2 Female life expectancy (in years) Figure 1 85- ^y 80- 75- 70- 65_ 60 55 1/46 15 20 25 30 35 40 45 50 55 60 Birthrate (number of births per 1000 pop.) What is the sample…
The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation. Best Actor Best Supporting Actor µ= 42.0 µ= 51.0 o = 8.7 o = 12 In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 77 years old. Determine the z-scores for each. Best Actor: z %3D Best Supporting Actor: z = (Round to two decimal places as needed.) Interpret the z-scores. The Best Actor was the mean, which unusual. The Best Supporting Actor was the mean, which unusual.
A box has 3white(W) balls,2 black (B) balls and 4 red(R) balls. Two balls were drawn successively from this box (i) with replacement/ (ii) without replacement. Let X=the number of white balls drawn and let Y=the number of black balls drawn.
25. Let X have a three-dimensional normal distribution with mean vector and covariance matrix and A- 3-1 respectively. Set Y= X1 +X + X, and Y= X1+X. Determine the conditional distribution of Y given that Y 0.
b. The following are the time (in months) to relapse for patients who had acute leukemia when being treated with a particular drug: 10, 7,32', 23, 22, 6, 16, 34", 32", 25", 11", 20", 19", 6, 17", 35", 6, 13, 9", 6", 10" Obtain the Kaplan-Meier estimate of the survivor function.
4. If T follows a 17 distribution, find to such that (a) P(T| to) = .05.
5.22 a. Form the probability distribution table for P(x) = , for x = 1,, 2, 3. %3D b. Find the extensions xP(x) and x²P(x) for each x. Find E[xP(x)] and E[x*P(x)]. d. Find the mean for P(x) = , for x = 1, 2, 3. 2 e. Find the variance for P(x) =, for x = 1, 2, 3. 6' f. Find the standard deviation for P(x) = *, for o 62 aluvilidsdon х%3D 1, 2, 3.
The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20. Does the frequency distribution appear to be roughly a normal distribution?
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.
Suppose X and Y have the following joint distribution: (please refer to image attached) Find the distributions of X and Y. Find Cov (X, Y), i.e. the covariance of X and Y. Find p(X, Y), i.e. the correlation of X and Y.
4.3 Suppose the heights of all female students at University of Maryland in College Park are known to be normally distributed with u 5'5" and o= 2'', find the percentage of female students = a. under 5'2". b. between 5'2" and 5'8". c. between 5'8" and 5'9".
Answer a, b, & c.

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