1. If X ~ N(200,2²), find а) Р(X < 197) b) Р(Х < 200 .5)
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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
Transcribed Image Text:1. If X - N(200,2²), find
а) Р(X < 197)
b) Р(X < 200.5)
2. Let x be a continuous random variable
that is normally distributed with a mean
of 80 and a standard deviation of 12. Find
the probability that x assumes a value
a. greater than 69
c. greater than 101
b. less than 73
d. less than 87
3. Let x be a continuous random variable
that is normally distributed with a mean
of 25 and a standard deviation of 6. Find
the probability that x assumes a value
a. between 29 and 36
b. between 22 and 35
4. Let X denote the time taken to run a road
race. X is normally distributed with a
mean of 190 minutes and a standard
deviation of 21 minutes. If one runner is
selected at random, what is the
probability that this runner will complete
this road race
a. in less than 160 minutes?
b. in 215 to 245 minutes?

Transcribed Image Text:5. A construction zone on a highway has a
posted speed limit of 40 miles per hour.
The speeds of vehicles passing through
this construction zone are normally
distributed with a mean of 46 miles per
hour and a variance of 16 miles per hour.
Find the percentage of vehicles passing
through this construction zone that are
a. exceeding the posted speed limit
b. traveling at speeds between 50
and 57 miles per hour.
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