take a pass-fail test repeatedly. Let Sk be the event that you're Suppose you FK be the event that you fail the test in Assume that take the test more often, as you of On you your first try of falling the test , you take, find successful have a your k.th trg. your chance P(FK) = q P (fx-1), for k= 2,3,4,.... and ocq<1 However, the result of different exams are independent. Suppose you take the test repeatedly until you pass the test for the first time. Let X be the total number tests a general formula for P(X=k) for k=1,2,... in goes £12 your k-th try, and of passing the test. down. In particular,

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 40E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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5) Suppose you
take
pass-fail test repeatedly. Let Sk be the event that you're successful
fail the test in your
k-th
try.
have
Ik be the event that you fail the test
Assume that
as you
On
your first try, you
take the test more often, your chance of falling the test
goes
for
k = 2,3,4,.... and o<q< 1
a
in
11⁄2
k-th try, and
passing the test.
your
of
down. In particular,
P(Fu) = q P (fx-1),
However, the result of different exams are independent. Suppose you take the test repeatedly until you pass
first time. let X be the total number of tests you take, find a general formula for P(x =k 1 for k=1,2,...
the test for the
Transcribed Image Text:C с 5) Suppose you take pass-fail test repeatedly. Let Sk be the event that you're successful fail the test in your k-th try. have Ik be the event that you fail the test Assume that as you On your first try, you take the test more often, your chance of falling the test goes for k = 2,3,4,.... and o<q< 1 a in 11⁄2 k-th try, and passing the test. your of down. In particular, P(Fu) = q P (fx-1), However, the result of different exams are independent. Suppose you take the test repeatedly until you pass first time. let X be the total number of tests you take, find a general formula for P(x =k 1 for k=1,2,... the test for the
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