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Find the probability based on the geometric distribution.
A random variable has p.f. p(x) = θx-1(1- θ), x = 1, 2...Establish the lack of memory property for the r.v., namely that:P (X > t+a | X >A) = P(X >t).
The number of bombardment necessary to achieve the disintegration of a certain nucleus is assumed to have the distribution above. In one sequence in which b bombardments are available, of these have already failed to disintegrate the nucleus. What is the possibility that nucleus will be disintegrated the end of series?
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
We have a deck of 52 playing cards. What is the probability of drawing?
A game involving a pair of dice pays out $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36.
Suppose that the number of babies born during an hour at a hospital's maternity wing follows a Poisson distribution with a mean of 4 per hour.
Assuming we can verify that the data set is approximately normally distributed, what percentage of times will the server be down less than 24 minutes?
Give a mathematical expression for the probability density function of driving distance.
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
How many subjects would you approximately need to reduce the length of the 95% confidence interval to 2 units?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
A researcher was interested in determining whether incentives affect the response rate in surveys. A simple random sample of 50 adult residents of a large city was selected. All were mailed a survey and promised a check upon returning a completed ..
Determine expectation of number of vehicles passing through this specified point in ten minutes.
Calculate the mean, median and mode for both sets and do graph/histogram to chart the results and conclude if indeed one set of year had more the other as far a snowfall.
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