Basics of ML & AL Week 2 Challenge

Ques1.

Mean (First Moment): 1.4

Variance (Second Moment): 1.64

Skewness (Third Moment): 0.103

Kurtosis (Fourth Moment): 2.00

Ques2.

The expected value is a weighted average used for random variables, where each value is multiplied by its probability. It gives a more accurate measure of central tendency in probability distributions, while the simple mean assumes equal weight for all values.

Ques3.

Not always. Skewness indicates asymmetry. However, many statistical techniques assume normality (no skewness). High skewness can lead to misleading results, so it's important to correct it or use methods robust to it.

Ques4.

(a) 0.8413

(b) 0.0262

(c) 0

(d) 0.9015

Ques5.

Symmetrical about the mean (center of the curve).

The peak represents the mean = median = mode.

The spread is determined by the standard deviation.

The percentages represent the empirical rule.