e. Compute the variance of the number of correct picks on a "Take Five" ticket anly wontbe f. Compute the standard deviation of the number of correct picks on a "Take Five" ticket. Question 3: The New York Lottery has a daily game called "Take Five" where you win prizes based on how many of the 5 selected numbers match your ticket. The probability function for the number of correct picks on a ticket (X) is displayed in the provided table. Round all answers to three decimal places. 1 4 p(x) 0.483287 0.402739 0.103933 0.009744 0.000295 0.000002 What is the probability of getting only 1 or 2 picks correct? a. P( x= 1 or x = 2) = P Cx=1) +P (x=2) - O.L102739+0.103933 = o. SObb72 : 0.S07 b. What is the probability of getting fewer than 3 picks correct? P(XC3) = PCX =0)tP (x =1 ) + P (X =2) 6.483287 +0.40교9 39 tol039 33 = ০ १৪११s१ ০.११० C. Players of the "Take Five" game receive a prize for getting two or more picks correct. What is the probability of getting a prize? PCX22) = P CX=a\+ P(x=3) +ecx=4) + P (x= S) s0.103933.+0.009구44 +0.08 29st 6,00000 2 =0.113974 0.114 d. What is the mean number of correct picks on a "Take Five" ticket?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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d e and f
e. Compute the variance of the number of correct picks on a "Take Five" ticket
anly
wontbe
f. Compute the standard deviation of the number of correct picks on a "Take Five" ticket.
Transcribed Image Text:e. Compute the variance of the number of correct picks on a "Take Five" ticket anly wontbe f. Compute the standard deviation of the number of correct picks on a "Take Five" ticket.
Question 3:
The New York Lottery has a daily game called "Take Five" where you win prizes based on how
many of the 5 selected numbers match your ticket. The probability function for the number of
correct picks on a ticket (X) is displayed in the provided table. Round all answers to three decimal
places.
1
4
p(x)
0.483287
0.402739
0.103933
0.009744
0.000295
0.000002
What is the probability of getting only 1 or 2 picks correct?
a.
P( x= 1 or x = 2) = P Cx=1) +P (x=2)
- O.L102739+0.103933
= o. SObb72
: 0.S07
b. What is the probability of getting fewer than 3 picks correct?
P(XC3) = PCX =0)tP (x =1 ) + P (X =2)
6.483287 +0.40교9 39 tol039 33
= ০ १৪११s१
০.११०
C. Players of the "Take Five" game receive a prize for getting two or more picks correct.
What is the probability of getting a prize?
PCX22) = P CX=a\+ P(x=3) +ecx=4) + P (x= S)
s0.103933.+0.009구44 +0.08 29st 6,00000 2
=0.113974
0.114
d. What is the mean number of correct picks on a "Take Five" ticket?
Transcribed Image Text:Question 3: The New York Lottery has a daily game called "Take Five" where you win prizes based on how many of the 5 selected numbers match your ticket. The probability function for the number of correct picks on a ticket (X) is displayed in the provided table. Round all answers to three decimal places. 1 4 p(x) 0.483287 0.402739 0.103933 0.009744 0.000295 0.000002 What is the probability of getting only 1 or 2 picks correct? a. P( x= 1 or x = 2) = P Cx=1) +P (x=2) - O.L102739+0.103933 = o. SObb72 : 0.S07 b. What is the probability of getting fewer than 3 picks correct? P(XC3) = PCX =0)tP (x =1 ) + P (X =2) 6.483287 +0.40교9 39 tol039 33 = ০ १৪११s१ ০.११० C. Players of the "Take Five" game receive a prize for getting two or more picks correct. What is the probability of getting a prize? PCX22) = P CX=a\+ P(x=3) +ecx=4) + P (x= S) s0.103933.+0.009구44 +0.08 29st 6,00000 2 =0.113974 0.114 d. What is the mean number of correct picks on a "Take Five" ticket?
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