A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown in the table. Complete parts a and b. X=# of red 1 2 3 P(X=x) 0.05 0.25 0.36 0.13 0.13 0.08 DE 11 (a) How many red lights should she expect to hit each day? 11 Expect to hit red lights. (Round to one decimal place as needed.) 04 (b) What's the standard deviation? 11 04 (Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as needed.) 11

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of
red lights she hits, as shown in the table. Complete parts a and b.
03
11
X=# of red
1
2
P(X =x)
0.05
0.25
0.36
0.13
0.13
0.08
03
11
(a) How many red lights should she expect to hit each day?
11
Expect to hit red lights.
(Round to one decimal place as needed.)
04
(b) What's the standard deviation?
11
04
(Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as needed.)
11
60n
Transcribed Image Text:A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown in the table. Complete parts a and b. 03 11 X=# of red 1 2 P(X =x) 0.05 0.25 0.36 0.13 0.13 0.08 03 11 (a) How many red lights should she expect to hit each day? 11 Expect to hit red lights. (Round to one decimal place as needed.) 04 (b) What's the standard deviation? 11 04 (Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as needed.) 11 60n
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