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,
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,
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
100%
Please help me with this questions. thank you!
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 8 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON