Distribution of Major Hurricanes y 0 1 2 3 4 P(Y = y) y 0.182 5 0.284 6 0.264 7 0.071 8 0.033 Print P(Y=y) 0.045 0.025 0.009 0.087 Done is, the two-standard-deviation interval is places as needed. Use ascending order.) ar
Distribution of Major Hurricanes y 0 1 2 3 4 P(Y = y) y 0.182 5 0.284 6 0.264 7 0.071 8 0.033 Print P(Y=y) 0.045 0.025 0.009 0.087 Done is, the two-standard-deviation interval is places as needed. Use ascending order.) ar
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Only answer question a and b
Transcribed Image Text:Distribution of Major Hurricanes
y
0
1
2
3
P(Y=y)
0.182
0.284
0.264
0.071
0.033
Print
O
у
5
6
~ co
7
8
P(Y=y)
0.045
0.025
0.009
0.087
Done
I is, the two-standard-deviation interval is
places as needed. Use ascending order.)
ar
Transcribed Image Text:The accompanying table provides a probability distribution for the number of major hurricanes
Click the icon to view the distribution of hurricanes.
µ=
a. Find and interpret the mean of the random variable.
=(Round to three decimal places as needed.)
(Round to three decimal places as needed.)
Interpret the mean. Select the correct choice below and fill in the answer box to complete your cho
OA. Every year will have at least
hurricane(s).
OB. The most common number of major hurricanes per year is hurricane(s).
OC. The average number of major hurricanes per year is hurricane(s).
b. Obtain the standard deviation of the random variable.
O
O
Click here to view histogram d.
Click here to view histogram a
Click here to view histogram b.
O Click here to view histogram c.
(Round to three decimal places as needed.)
c. Draw a probability histogram for the random variable. Choose the correct graph below.
<
Le
Question 5 of 12
The one-standard-deviation interval is, the two-standard-deviation interval is [
The mean is
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)
O
a
29
S
Expert Solution
Part (a)
(a) The mean of the probability distribution of a random variable is calculated using the formula,
µ = Σ yiP(Y = yi)
Using the above formula we have,
µ = 0×P(Y = 0) + 1×P(Y = 1) + 2×P(Y = 2) + 3×P(Y = 3) + 4×P(Y = 4) + 5×P(Y =5) + 6×P(Y =6) + 7×P(Y = 7)+ 8×P(Y = 8)
On substituting the values we get
µ = 0×0.182 + 1×0.284 + 2×0.264 + 3×0.071 + 4×0.033 + 5×0.045 + 6×0.025 + 7×0.009 + 8×0.087
µ = 0 + 0.284 + 0.528 + 0.213 + 0.132 + 0.225 + 0.15 + 0.063 + 0.696
µ = 2.291
Since, µ is known as the mean or average of the distribution hence, the correct option is The average number of major hurricanes per year is 2.291 hurricane.
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