Imagine that you are winning a cake lottery. You draw lots at random from a bucket of lots where, at the time you participate, there are only 30 lots left. Of these 30 tickets, 3 are winning tickets. You draw 5 lottery tickets (without putting them back in the bucket again). Let X be the number of winning tickets among the 5 tickets you draw. a) What distribution does X have? Calculate P (X= 1), P(X ≥ 1) and E(X). Now imagine that you are offered to draw the 5 lots with a return. That is, after you have drawn one ticket and checked whether it is a winning ticket or not, you put it back in the bucket again before making the next draw. Assume that the bucket is shaken between each draw and that you are not allowed to look into the bucket when making the draws so that the draws are independent. b) What distribution does X now have? Calculate what P(X= 1), P (X|≥ 1) and E(X) will be now.
Imagine that you are winning a cake lottery. You draw lots at random from a bucket of lots where, at the time you participate, there are only 30 lots left. Of these 30 tickets, 3 are winning tickets. You draw 5 lottery tickets (without putting them back in the bucket again). Let X be the number of winning tickets among the 5 tickets you draw. a) What distribution does X have? Calculate P (X= 1), P(X ≥ 1) and E(X). Now imagine that you are offered to draw the 5 lots with a return. That is, after you have drawn one ticket and checked whether it is a winning ticket or not, you put it back in the bucket again before making the next draw. Assume that the bucket is shaken between each draw and that you are not allowed to look into the bucket when making the draws so that the draws are independent. b) What distribution does X now have? Calculate what P(X= 1), P (X|≥ 1) and E(X) will be now.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Question 5
Imagine that you are winning a cake lottery. You draw lots at random from a bucket of lots where,
at the time you participate, there are only 30 lots left. Of these 30 tickets, 3 are winning tickets. You
draw 5 lottery tickets (without putting them back in the bucket again). Let X be the number of
winning tickets among the 5 tickets you draw.
a) What distribution does X have?
Calculate P (X = 1), P(X≥ 1) and E(X).
Now imagine that you are offered to draw the 5 lots with a return. That is, after you have drawn one
ticket and checked whether it is a winning ticket or not, you put it back in the bucket again before
making the next draw. Assume that the bucket is shaken between each draw and that you are not
allowed to look into the bucket when making the draws so that the draws are independent.
b)
What distribution does X now have?
Calculate what P(X = 1), P (X|≥ 1) and E(X) will be now.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1be6e21c-a409-44e1-b92f-adc766a3532f%2Ff3d52a3c-9759-4cec-930a-ed28104d5b4a%2F3kqev7e_processed.png&w=3840&q=75)
Transcribed Image Text:Question 5
Imagine that you are winning a cake lottery. You draw lots at random from a bucket of lots where,
at the time you participate, there are only 30 lots left. Of these 30 tickets, 3 are winning tickets. You
draw 5 lottery tickets (without putting them back in the bucket again). Let X be the number of
winning tickets among the 5 tickets you draw.
a) What distribution does X have?
Calculate P (X = 1), P(X≥ 1) and E(X).
Now imagine that you are offered to draw the 5 lots with a return. That is, after you have drawn one
ticket and checked whether it is a winning ticket or not, you put it back in the bucket again before
making the next draw. Assume that the bucket is shaken between each draw and that you are not
allowed to look into the bucket when making the draws so that the draws are independent.
b)
What distribution does X now have?
Calculate what P(X = 1), P (X|≥ 1) and E(X) will be now.
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