15. Let X be the set of numbers from 1,...,250. There is a lottery where 25 winning numbers are selected uniformly at random from this set. That is, the lottery selects a subset Y CX of size 25 from X. We buy a lottery ticket where we select 50 numbers uniformly at random from 250. What is the expected number of winning numbers in our lottery ticket. That is, how many elements from the set Y do we expect to have picked in our lottery ticket? 2503 2 (b) 5 (c) 10 (d) 20 (e) no valid answer X= {1. Yex (2 C= .. (255) 250 30 (²)
15. Let X be the set of numbers from 1,...,250. There is a lottery where 25 winning numbers are selected uniformly at random from this set. That is, the lottery selects a subset Y CX of size 25 from X. We buy a lottery ticket where we select 50 numbers uniformly at random from 250. What is the expected number of winning numbers in our lottery ticket. That is, how many elements from the set Y do we expect to have picked in our lottery ticket? 2503 2 (b) 5 (c) 10 (d) 20 (e) no valid answer X= {1. Yex (2 C= .. (255) 250 30 (²)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:15. Let X be the set of numbers from 1,..., 250. There is a lottery where 25 winning
numbers are selected uniformly at random from this set. That is, the lottery selects a
subset Y CX of size 25 from X. We buy a lottery ticket where we select 50 numbers
uniformly at random from 250. What is the expected number of winning numbers in
our lottery ticket. That is, how many elements from the set Y do we expect to have
picked in our lottery ticket?
(a) 2
X = 81... 2503
YeX = (250
(b) 5
(c) 10
C=
25
250
(d) 20
30
(e) no valid answer
SU
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