1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations 2.Generate a graph to describe the distribution of height and insert it below.Would you think that the assumption that height was normal is accurate? Why or why not? Are speed and height associated? Why or why not?Generate a graph or table that supports. Variablespeedheightnum_engstime_of_daybirds_struckeffectskyNo. readVariable100010001000No. observed9041000994No. missingLevel 1Dawn : 401:816Engine Shut Down : 5No Cloud :4719606Min2411Dataset Summary 'bird_hits'Day :56711-100: 16None :886Overcast :186Q1Numerical VariablesLevel 2121502Median1403002Categorical VariablesQ3Dusk : 592-10 :167Other : 29Some Cloud:31117015002Level 3Max300140004Mean148.0111304.8322.052Level 4Night:320NA's : 1Precautionary Landing: 80NA's : 32Std. deviation43.5182160.1220.569Variance1893.8124666125.625NA's : 140.324Level 5SE of mean1.44768.3090.018

We are given the mean and standard deviation of height: Mean = 1304.832 Standard deviation =…

Answered: 1.Calculate the probability of the…

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

1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations

2.Generate a graph to describe the distribution of height and insert it below.

Would you think that the assumption that height was normal is accurate? Why or why not?

Are speed and height associated? Why or why not?

Generate a graph or table that supports.

Variable
speed
height
num_engs
time_of_day
birds_struck
effect
sky
No. read
Variable
1000
1000
1000
No. observed
904
1000
994
No. missing
Level 1
Dawn : 40
1:816
Engine Shut Down : 5
No Cloud :471
96
0
6
Min
24
1
1
Dataset Summary 'bird_hits'
Day :567
11-100: 16
None :886
Overcast :186
Q1
Numerical Variables
Level 2
121
50
2
Median
140
300
2
Categorical Variables
Q3
Dusk : 59
2-10 :167
Other : 29
Some Cloud:311
170
1500
2
Level 3
Max
300
14000
4
Mean
148.011
1304.832
2.052
Level 4
Night:320
NA's : 1
Precautionary Landing: 80
NA's : 32
Std. deviation
43.518
2160.122
0.569
Variance
1893.812
4666125.625
NA's : 14
0.324
Level 5
SE of mean
1.447
68.309
0.018

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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