Mean and variance of x
A random variable X has a distribution with pdf p(x) = ((x^2)/16)*exp(-x/2) when x>0 and p(x) = 0 whenever x<0. What is the mean and variance of X?
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A university found that the 30% of its students withdraw without completing the introductory statistics course. Suppose that 20 students registered for the course.
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In a large class, the midterm had the average of 50 points with SD of 22. The final scores averaged out to 60 with SD of 20. The correlation between midterm as well as final scores was 0.60. The scatter diagram was football-shaped. Of the students
Determine the formula for exponential function V=h(t) which provides value of the item initially worth $5000 which loses half its value every 5 years.
Suppose exponential growth, determine the formula for number of cells p(t) in colony after t hours. How long will it take for colony to triple in size?
Estimate the value of k that makes f(x) a probability density function. (Hint:to find k, compare f(x) with the pdf of a normal distribution.)
Find P(Y > 5) using Poisson approximation. Find P(Y > 5) using Normal approximation.
You are given 10 multiple choice questions with 5 choices each, of which only one is correct. If you try and guess the correct answer for each question. Determine the probability of answering at least one question correctly?
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