4.How many possible outcomes are there if we toss 10 dice, each of a different color?

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N = ?

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possible outcomes?

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5.The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a card is returned to the deck.?

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If you do not put the first card back in the deck before you draw the next, what is the probability that the first card is a heart and the second card is a spade? (Enter your probability as a fraction.)?

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6.Suppose that a certain HIV test has both a sensitivity and specificity of 99.9%. This test is applied to a population of 1,000,000 people.?

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Suppose that the population comes from the blood donor pool that has already been screened. In this population, 0.3% of the population is actually infected with HIV.?

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(a) Calculate the PPV. Suggestion: First make a table as seen below. (Round your answer to one decimal place.)?

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%?

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Has disease Does not have disease Totals?

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Test positive?

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Test negative?

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Totals?

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(b) Calculate the NPV. (Round your answer to four decimal places.)?

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%?

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(c) How many people will test positive who are, in fact, disease-free??

Calculate arithmetic and geometric means for stock A: Year A B C D E 1 9.7% 10.7% 70.3% 13.0% 23.1% 2 1.1% 23.4% -54.0% 15.2% -16.0% 3 -38.9% -32.1% 40.2% -40.0% 0.8% 4 34.5% 26.3% 94.5% 57.2% 13.7% 5 14.6% 11.8% 7.3% -4.2% 41.3% 6 3.7% 1.9% 25.5% 3.9% 5.7% Geometric mean equals 4.9%; arithmetic mean equals 3.4% Arithmetic mean equals 3.4%; geometric mean equals 5.6% Geometric mean equals 7.0%; arithmetic mean equals 7.5% Arithmetic mean equals 4.1%; geometric mean equals 1.3Question 27: Using the computers performance in table below show that (a) Determine the order of computers performance, (b) Geometric Mean exhibits consistency for normalized results, unlike Arithmetic Mean. (a) Results normalized to Computer A Computer A time Computer B time Computer C time Program 1 2.0 1.0 0.75 Program 2 0.75 2.0 4.0 Arithmetic mean of normalized times Geometric mean of normalized times (b) Results normalized to Computer B Computer A time Computer B time Computer C time Program 1 2.0 1.0 0.75 Program 2 0.75 2.0 4.0 Arithmetic mean of normalized times Geometric mean of normalized times