## Construct the histogram of the variable ŌĆØPetal.LengthŌĆØ in ŌĆØirisŌĆØ, then change the bins in an appropriate manner.

### statistics

##### Description

Q (1). Simulate 1000 realizations of a standard normal random variable Z, and use your simulated sample to estimate

Q (2). A Žć^2 random variable on n degrees of freedom has the same distribution as the sum of n independent standard normal random variables squared. Simulate a Žć^2 random variable on eight degrees of freedom, and estimate its mean and variance. (Compare with the theoretical values: 8, 16.) Plot the PDF and CDF of this distribution. \

Q (3). Use the data set ŌĆØirisŌĆØ to compute: a) mean, median, mode for ŌĆØPetal.LengthŌĆØ b) range, variance, standard deviation, IQR for ŌĆØSepal.LengthŌĆØ for the species ŌĆØsetosaŌĆØ c) kurtosis, skewness for ŌĆØPetal.WidthŌĆØ; is the distribution symmetric and mesokurtic?

Q (4). Construct the histogram of the variable ŌĆØPetal.LengthŌĆØ in ŌĆØirisŌĆØ, then change the bins in an appropriate manner. Add the density function to the graph. Construct the boxplot of a variable of your choice with respect to each species.