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Question: Consider a group of people who have received treatment for a disease such as cancer. Let t be the survival time, the number of years a person lives after receiving treatment. The density function giving the distribution of t is p(t) = Ce-Ct for some positive constant C.
a) What is the practical meaning for the cumulative distribution function
P(t) = 0∫t p(x) dx?
b) The survival function, S(t), is the probability that a randomly selected person survives for at least t years. Find S(t).
c) Suppose a patient has a 70% probability of surviving at least two years. Find C.
Find the centroid of the triangle whose vertices are (0,0), (a,0), and (0,b). Assume a is greater than 0, and b is greater than 0.
$100,000 is invested in a 6.5% interest-bearing certificate compounded semi-annually. Find the amount of money in the account at 0, 4, 8 and 10 years.
Based on your correlation coefficient, how good (valid) is your prediction, poor, okay, good, very good?
A man in rowboat at point P, 150km from the shore, wishes to reach a point B, 600 km down shore, in the shortest amount of time. Where should he land if he can row at 4km/hr and walk at 7km/hr?
1) What is the value of y'(1, 3) using most accurate three-point formula? 2) What is the error bound for y'(1, 3) calculated in question 1?
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
Suppose the population standard deviations for men and for women both were about 100. Construct a 95% confidence interval to estimate the difference in the population mean scores on this event for men and women.
SELLING PRICE OF DVD RECORDERS The rise of digital music and the improvement to the DVD format are some of the reasons why the average selling price.
Then find a particular solution to the non-homogeneous equation.
Mike buys a fishing rod and a hat. His total bill is $140.00 The rod is 9 times the cost of the hat. How much does each item cost?
Explain how you define the nodes xk that represent the dates above - Define a global interpolating polynomial Pr that passes through all data points given for the time of sunrise.
A researcher is comparing samples from 3 populations. She has 10 samples from the first population and 10 samples from the second population. What is the maximum number of samples she can take from the third population?
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