Basics of ML & AL Week 2 Challenge

1)Calculate all 4 business moments using pen and paper for the below data set?

Mean = 1.4

Variance =1.84

Skewness=0.572( moderate)

Kurtosis=-0.9522(platykurtic)

2)What is the significance of expected value when simple mean (Sum of all observations/number of observations) is already in place

Expected value is equal to Simple mean when the probability of each occurrence of value is equal

example probability of each number in dice (1/6)

P(X)=1(1/6)+2(1/6)+3(1/6)+4(1/6)+5(1/6)+6(1/6)=3.5

Mean=(1+2+3+4+5+6)/6=3.5

3)Having skewness in the curve considered to be bad in the analysis?

No, But It is difficult to analyze and virtualize the data but not bad in the analysis

by converting to normal symmetrical distribution it looks good and easy to calculate what we need from the data

4)Evaluate the probabilities for continuous normal distribution with given mean = 680 and standard deviation = 31

a)P(X<711) =P(X<1.0)=0.84

b)P(X>740) =P(X>1.93)=1-P(X<1.93)= 1-0.9732 =0.0268

c)P(600<X<720) =P(-2.5<X<1.29)=0.8953‬

d)P(X=720)=P(X=1.29)=0.9015

5)Explain the curve on the right side

The curve is symmetrical and follows the 68–95–99.7 rule