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It is recommended that women age 40 and older have a mammogram annually. A recent report indicated that if a woman has annual mammograms over a 10-year period, there is a 60% probability that there will be at least one false-positive result. (A false-positive mammogram test result is one that indicates the presence of cancer when, in fact, there is no cancer.) If the annual test results are independent, what is the probability that in any one year a mammogram will produce a false-positive result? (Hint: Find the value of p such that the probability that a binomial random variable with n = 10 is greater than or equal to 1 is .60.)
Define the following predicate P(x,y,z) for naturals x and y and positive naturals z. If x = z, then P(x,y,z) is false.
a banker invested a portion of $10,000 at 5% interest per year and the remainder at 4% interest per year. if the baker received $470 in interest after 1 year, how much was invested at each rate?
Question 1: Assume we have an i.i.d. sample from Bernoulli random variable, specifically X1, X2... ,Xn ~ B (p), which means
Solve each of the following equations for the unknown variable.
a random sample of 450 students from a wide geographic area indicated that 55 attended private schools. Estimate the true population of students attending private schools with 90% ci.
If A is an invertible matrix and n is a non negative integer then: please make the proof very detailed and show every step
when watching a professional football game viewers can observe the pass completion statistics of a quarterback. is this
A bag contains two red marbles, four green ones, one lavender one, three yellows, and five orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Application of differential calculus in economics: Profit, Cost and Revenue function - What production level maximizes profit?
A chip is selected at random, what is the probability that it is from Machine I and is defective? A chip is selected at random, what is the probability that it is defective?
Show that the mean value theorem applies or does not apply to the following. f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.
The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
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