The length of time it takes to find a parking space at 8am follows a normal distribution with a mean of 10 minutes and a standard deviation of 3 minutes. Find the probability that it takes at least 13 minutes to find a parking space. O 0.0475 O 0.1587 O 0.2867 O 0.3707 O 0.4002 O 0.5292 O 0.6293 O 0.7088 O 0.8413 O 0.9413

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The length of time it takes to find a parking space at 8am follows a normal distribution with a mean of 10 minutes and a standard deviation of 3 minutes.
Find the probability that it takes at least 13 minutes to find a parking space.
0.0475
0.1587
0.2867
0.3707
0.4002
0.5292
0.6293
0.7088
0.8413
0.9413
Transcribed Image Text:The length of time it takes to find a parking space at 8am follows a normal distribution with a mean of 10 minutes and a standard deviation of 3 minutes. Find the probability that it takes at least 13 minutes to find a parking space. 0.0475 0.1587 0.2867 0.3707 0.4002 0.5292 0.6293 0.7088 0.8413 0.9413
Expert Solution
Step 1

Given 

Let X be the length of time it takes to a parking space at 8 am.

i.e. X~Normal with mean=μ=10 minutes and standard deviation=σ=3 minutes

we want to find the probability that it takes at least 13 minutes to find a parking space.

i.e. P(X>13)

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