Answer:
it saves 2.5 minutes
Step-by-step explanation:
The expected value of a random variable is the sum of products of possibilities and the probability of each.
Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.
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The expected value of the shortcut is ...
0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5
The shortcut is expected to save 2.5 minutes on average.
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<em>Additional comment</em>
The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.
Answer:
a) green: 0.3
yellow: 0.1
b) 12
Step-by-step explanation:
Unfortunately, I cant write on the table. But, I CAN help you with this question.
Since all probabilities have to add up to one, we can for an equation like this
(where y is yellow)
0.35+0.25+3y+y=1
This simplified is
0.6+4y=1
4y=0.4
So, we now know that green is 0.3, and yellow is 0.1.
For b, we set 0.35x to 14. Dividing gives us:
14/0.35=1400/35=40.
Multiply 0.3 by 40, and you get 12.
Hope this helped!
Answer:
c
Step-by-step explanation:
niumber 2
