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The probability of breast cancer is 1% for women at age forty who participate in routine screening. If a woman has breast cancer the probabilty is 80% that she will get a positive mammography. If a woman does not have breast cancer, the probability is 9.6% that she will also get a positive mammography.
A woman in this age group had a positive mammography in a routine screening. What is the probability that she actually has breast cancer? 10 out of every 1000 women at age forty, who participate in routine screening have breast cancer. 8 out of every 10 women with breast cancer will have a positive mammography. 950 out of every 990 women without breast cancer will also have a positive mammography. Here is a sample of women who have a positive mammography. How many of these women actually have breast cancer? Create a 2x2 table for the mammogram problem. Calculate 1. Probability of having breast cancer. p(BC). 2. Probability of having BC given the mammogram is positive. p(BC/positive mammo) 3. Probability of having a positive mammogram given a person has BC. P(pos mammo/BC)
Simplify the group as a finitely generated abelian group.
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
Factorize the given expression - Evaluate the perfect square
Evaluate a function on fixed-point iteration will converge to a positive solution of the equation.
A particular test for the presence of steroids is to be used after a professional track meet. If steroids are present, the test will accurately indicate this 95% of the time.
Three marbles are chosen without replacement from a box containing 12 red, 7 blue, and 8 yellow marbles. Let X be the number of blue marbles chosen.
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
Construct a tree diagram to represent this situation. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 3 or 7.
What is the probability of there being 2 aces in a single column at the start of a Free Cell game? What about 3 and 4 aces in a single column? Conduct an experiment that validates your findings.
Graph of a certain function is given. Using the information of transformation given in equation, determine the coordinate of a new point
Probability Definition of Continuity. Suppose that f_x is the probability density function (PDF) of a continuous random variable X. Also suppose that f_x is continuous on (a, b)
Determine the multiple integral under given condition using spherical coordinate - Determine the following triple integral by converting it to an appropriate coordinate system and integrating.
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