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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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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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