Ve-u164 Wind engineers have found that wind speed v (in meters per second) at a given location follows a Rayleigh distribution of the type 1 W(v) = %3D 32 This means that at a given moment in time, the probability that v lies between a and b is equal to the shaded area in the following figure. W 0.1+ graph of W(v) 0.05+ v (m/s) 20 a (a) Find the probability that v E [0, b]. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in terms of b.) < Feedback +>v (m/s) 20 You have not correctly determined the a b. probability that v E [1,4]. (a) Find the probability that v E [0, b]. The probability that v E [1,4] can be determined as the probability that (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your ans\ v E [0,4] minus the probability that U E [0, 1]. Use the result you have already obtained for the probability _6² 1 e probability that v E [0, b]: that v E [0, b]. 64 (b) Calculate the probability that v E [1,4]. (Express numbers in exact form. Use symbolic notation and fractions where needed.) probability that v E [1,4]: -4 e - e

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Ve-u164
Wind engineers have found that wind speed v (in meters per second) at a given location follows a Rayleigh distribution of
the type
1
W(v) =
%3D
32
This means that at a given moment in time, the probability that v lies between a and b is equal to the shaded area in the
following figure.
W
0.1+
graph of W(v)
0.05+
v (m/s)
20
a
(a) Find the probability that v E [0, b].
(Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in terms of b.)
Transcribed Image Text:Ve-u164 Wind engineers have found that wind speed v (in meters per second) at a given location follows a Rayleigh distribution of the type 1 W(v) = %3D 32 This means that at a given moment in time, the probability that v lies between a and b is equal to the shaded area in the following figure. W 0.1+ graph of W(v) 0.05+ v (m/s) 20 a (a) Find the probability that v E [0, b]. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer in terms of b.)
< Feedback
+>v (m/s)
20
You have not correctly determined the
a
b.
probability that v E [1,4].
(a) Find the probability that v E [0, b].
The probability that v E [1,4] can be
determined as the probability that
(Express numbers in exact form. Use symbolic notation and fractions where needed. Give your ans\
v E [0,4] minus the probability that
U E [0, 1]. Use the result you have
already obtained for the probability
_6²
1 e
probability that v E [0, b]:
that v E [0, b].
64
(b) Calculate the probability that v E [1,4].
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
probability that v E [1,4]:
-4
e
- e
Transcribed Image Text:< Feedback +>v (m/s) 20 You have not correctly determined the a b. probability that v E [1,4]. (a) Find the probability that v E [0, b]. The probability that v E [1,4] can be determined as the probability that (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your ans\ v E [0,4] minus the probability that U E [0, 1]. Use the result you have already obtained for the probability _6² 1 e probability that v E [0, b]: that v E [0, b]. 64 (b) Calculate the probability that v E [1,4]. (Express numbers in exact form. Use symbolic notation and fractions where needed.) probability that v E [1,4]: -4 e - e
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