A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls out of four children born to a randomly selected couple in that town. Its probability distribution is shown below. Complete parts a through c. x01234 P(X=x)0.08670.26950.36730.18010.0964 b. Obtain the standard deviation of the random variable.σ=____(Round to four decimal places as needed.) The accompanying table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012.Complete parts (a) through (c) below.Click the icon to view the distribution of hurricanes.a. Find and interpret the mean of the random variable.u =(Round to three decimal places as needed.)Distribution of Major HurricanesyP(Y = y)yP(Y = y)0.1830.04510.2840.02520.22870.01230.07380.1080.042PrintDone The random variable Y is the sum of the dice when two balanced dice are rolled. Its probability distribution is given below. Complete parts a through cbelow.Y2456.781011121P(Y = y)1151113618129.36121836a. Find and interpret the mean of the random variable.u =(Type an integer or decimal rounded to three decimal places as needed.)

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Answered: A census collected data on everyone…

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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A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls out of four children born to a randomly selected couple in that town. Its probability distribution is shown below. Complete parts a through c.

x	0	1	2	3	4
P(X=x)	0.0867	0.2695	0.3673	0.1801	0.0964

b. Obtain the standard deviation of the random variable.

σ=____

(Round to four decimal places as needed.)

The accompanying table provides a probability distribution for the number of major hurricanes, Y, for a randomly selected year between 1851 and 2012.
Complete parts (a) through (c) below.
Click the icon to view the distribution of hurricanes.
a. Find and interpret the mean of the random variable.
u =
(Round to three decimal places as needed.)
Distribution of Major Hurricanes
y
P(Y = y)
y
P(Y = y)
0.183
0.045
1
0.284
0.025
2
0.228
7
0.012
3
0.073
8
0.108
0.042
Print
Done

The random variable Y is the sum of the dice when two balanced dice are rolled. Its probability distribution is given below. Complete parts a through c
below.
Y
2
4
5
6.
7
8
10
11
12
1
P(Y = y)
1
1
5
1
1
1
36
18
12
9.
36
12
18
36
a. Find and interpret the mean of the random variable.
u =
(Type an integer or decimal rounded to three decimal places as needed.)

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