The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. x245678 P(X=x)0.0280.0310.3190.2580.3580.006 The mean is____.The one-standard-deviation interval is___,___the two-standard-deviation interval is___,___and the three-standard-deviation interval is____,____.(Type integers or decimals rounded to three decimal places as needed. Use ascending order.) 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.(Round to three decimal places as needed.)- XDistribution of Major HurricanesyP(Y = y)yP(Y = y)0.1830.04510.2840.02520.22870.01230.0730.10840.042PrintDoneEnter your answer in the answer box and then click CheN CO 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 thattown. Its probability distribution is shown below. Complete parts a through c.stoX1234P(X = x)0.05220.24990.34890.28010.0689a. Find and interpret the mean of the random variable.|(Round to four decimal places as needed.)

Name: The random variable X is the crew size of a randomly selected shuttle
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Description: The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. x245678 P(X=x)0.0280.0310.3190.2580.3580.006 The mean is____.The one-standard-deviation interv

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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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The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c.

x	2	4	5	6	7	8
P(X=x)	0.028	0.031	0.319	0.258	0.358	0.006

The mean is____.The one-standard-deviation interval is___,___the two-standard-deviation interval is___,___and the three-standard-deviation interval is____,____.

(Type integers or decimals rounded to three decimal places as needed. Use ascending order.)

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.
(Round to three decimal places as needed.)
- X
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
0.108
4
0.042
Print
Done
Enter your answer in the answer box and then click Che
N CO

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.
sto
X
1
2
3
4
P(X = x)
0.0522
0.2499
0.3489
0.2801
0.0689
a. Find and interpret the mean of the random variable.
|(Round to four decimal places as needed.)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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