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Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately .25. Suppose that a husband and wife are both carriers and that they have three children. If the outcomes of the three pregnancies are mutually independent, what are the probabilities of the following events?
a All three children develop Tay-Sachs.
b Only one child develops Tay-Sachs.
c The third child develops Tay-Sachs, given that the first two did not.
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. Find the probability that the family's monthly gasoline purchases will be between 86 and 96 gallons.
Produce trucks arrive at the weigh station at the California border at a rate of 3 per hour according to a Poisson distribution. Livestock trucks arrive at that same weigh station at a rate of 2 per hour according to a Poisson distribution.
What is the appropriate t-test to conduct and should the null hypothesis be rejected
find the linear correlation coefficiet between cumulative gpa and high school percentile for the 200 uwec undergraduate
one study on slavery estimated that a slave had only 2 chance of being sold into the interstate trade each year. this
A friend of mine is giving a dinner party. His current wine supply includes 12 bottles of zinfandel, 10 of merlot, and 8 of cabernet. If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this?
according to the census there were 61 people per square mile. this is called the population density in a certian
individuals filing federal income tax returns prior to march 31 received an average refund of 1056. consifer the
If the mean lifetime of this type of component is 100 hours and its standard deviation is 19 hours, how many of these component must be in stock so that the probability of the system is in continual operations for the next 2,000 hours is at least ..
Recall that a Radon measure on R is a function µ into R, defined on all bounded Borel sets and countably additive on the Borel subsets of any fixed bounded interval. Show that for any convex function f on an open interval U ⊂ R, there is a uniqu..
i) Show that these r.v.'s are independent; ii) Calculate the probability P(X1 X2 X3).
a bright idea. a company produces lightbulbs whose life follows the n1500 300 distribution i.e. the lifetimes of
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