4.2 Tumor count comparisons: Reconsider the tumor count data in Exercise 3.3: a) For the prior distribution given in part a) of that exercise, obtain Pr(θB < θA|yA, yB) via Monte Carlo sampling. b) For a range of values of n0, obtain Pr(θB < θA|yA, yB) for θA ∼ gamma(120, 10) and θB ∼ gamma(12×n0, n0). Describe how sensitive the conclusions about the event {θB < θA} are to the prior distribution on θB. c) Repeat parts a) and b), replacing the event {θB < θA} with the event {Y˜B < Y˜A}, where Y˜A and Y˜B are samples from the posterior predictive distribution.

ian gonna lie that is way to much

a

b

d

step-by-step explanation:

step-by-step explanation:

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europa2433

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true