(b) A point Y is chosen randomly from the interval (0, 1). Another point X is then chosen randomly from the interval (0, Y). Find P(X < a[Y = y) and E[X|Y = y]. (c) Independent Bernoulli trials, of success probability p, are continually performed until the first success is achieved. Let X be the number of trials needed to obtain the first success. Let 1, if the first trial results in success; Y = 0, otherwise. Find E[t*|Y = i] for i = 0, 1. Hence, or otherwise, compute E[t*].
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Algebraic Expressions
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Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
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Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
please answer c only, thanks.
![(b) A point Y is chosen randomly from the interval (0, 1). Another point X is then chosen randomly
from the interval (0, Y). Find P(X < a|Y = y) and E[X|Y = y].
(c) Independent Bernoulli trials, of success probability p, are continually performed until the first
success is achieved. Let X be the number of trials needed to obtain the first success. Let
1, if the first trial results in success;
Y =
0,
otherwise.
Find E[tX|Y = i] for i = 0, 1. Hence, or otherwise, compute E[t*].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F904770f6-d4ed-4696-a7fe-0873d7f09136%2Fbf660833-b404-4b91-aeda-5699c16277ce%2Fy16wmfgw_processed.png&w=3840&q=75)
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