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If many samples of size 15 (that is, each sample consists of 15 items) were taken from a large normal population with a mean of 18 and variance of 5, what would be the mean, variance, standard deviation and shape of the distribution of sample means? Give reasons for your answers.
A multiple choice exam contains 50 questions. Each question has 5 choices, one of which is correct. We are interested in knowing the probability guessing exactly 18 questions correctly.
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
Determine the value of c that makes the function f(x,y)=c(x+y) a joint probability mass function over nine points with x=1,2,3 and y=1,2,3
A building 260 feet tall casts a 70 foot long shadow. Find the angle of elevation of the sun to the nearest degree.
A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
Chef loves circular cakes. He divides them into smaller pieces and sells them. You are to help him in this work. Today Chef has cooked the brand new circular cake
a plane flying with a tailwind flew at a speed of 460 mph, relative to ground. When flying against the tailwind, it flew at a speed of 310mph. Find the speed of the tailwind.
If 309 students was enrolled in a weekend and evening program, or a regional center with 6,633 students what is the probability of a randomly selected student attended a regional center or the weekend and evening program?
Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.
A paper mill produces two grades of paper viz.,x and y - formulate this as a linear programming problem.
A palindrome is a number such as 131 that reads the same backward and forward. How many 3-digit palindromes are there between 100 adn 200 and what are they?
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not.
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