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Consider a joint PMF for the results of a study that compared the number of micro-strokes...

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Basic Math

Consider a joint PMF for the results of a study that comparedthe number of micro-strokes a patient suffered in a year (F) and anindex (S) that characterizes the stress the person is exposed to.This PMF represents the probability of a randomly picked personfrom the studied population having F=f micro-strokes and S=s stressindex.

f=0f=1f=2f=3
s=10.10.040.040.02
s=20.250.10.120.03
s=30.150.060.030.06

a) The conditional PMF for the number of strokes F given stressindex S=3.?

b) The expected number of strokes and the variance of thismagnitude for patients with S=3??

c) The conditional PMF for strokes and stress index given eventA={(S,F) /s<3 and f<2}?

d) There were 3000 patients in the study. How many you expect tofind that have F and S in A (same A as above)??

e) What is the average stress index in this population? (hint:the marginal probability function above may be helpful)

Answer & Explanation Solved by verified expert
3.7 Ratings (501 Votes)
f0f1f2f3Pss10100400400202s20250101200305s301500600300603Pf05020190111aConditional PMF of    See Answer
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