b) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 235.6 mm or more. 0.0772 c) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 252.7 mm or less. 0.9074 X 0.8302 X d) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall between 235.6 and 252.7 mm. X

b) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 235.6 mm or more. 0.0772 c) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of 252.7 mm or less. 0.9074 X 0.8302 X d) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall between 235.6 and 252.7 mm. X

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about 69 mm. Assume yearly rainfall is normally distributed.

Round the probabilities to four decimal places.

It is possible with rounding for a probability to be 0.0000.

b) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of
235.6 mm or more.
0.0772
c) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall of
252.7 mm or less.
0.9074
X
d) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall
between 235.6 and 252.7 mm.
0.8302
X
0.0062
X
e) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly rainfall that is
at most 33.5 mm.
X
181.47
f) Is a yearly rainfall of 33.5 mm unusually low for a randomly selected year of rain in Sydney, Australia?
Why or why not?
yes, since the probability of having a value of yearly rainfall at least that high is less than or equal to 0.05
X
g) What yearly rainfall do 74% of all years of rain in Sydney, Australia have more than?
Round your answer to two decimal places in the first box.
Put the correct units in the second box.
X
mm

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