Using

from math import gamma, exp

def f(x): # For positive x value if x > 0: # Calculate numerator and denominator numerator = x ** (-1 / 2) * exp(-x / 2) denominator = 2 ** (1 / 2) * gamma(1 / 2) # Calculate the value value = numerator / denominator else: # x is negative or ZERO value = 0 # Return the value of f(x) return value

# Calculate the value at x=1 pdf = f(x=1) print('f(1)=', pdf)

# Testing with other values of x

pdf = f(x=0) print('f(0)=', pdf)

pdf = f(x=5) print('f(5)=', pdf)

I get values, but it's not the correct answer.

Evaluate a chi-squared probability density function 5 points A probability density function, or PDF, tells you how likely a sampled random variable is to occur with a certain value. For the chi-squared distribution, the PDF is 0; f(x) = { 23r(:) 0, otherwise. Compose a function which yields the value of the expression for f(2) at a given z. You will need the gamma function I, which is available in the math module as gamma , as is exp and e Your submission should include a value for a chi-squared probability density pdf as a function. Evaluate a chi-squared probability density function 5 points A probability density function, or PDF, tells you how likely a sampled random variable is to occur with a certain value. For the chi-squared distribution, the PDF is 0; f(x) = { 23r(:) 0, otherwise. Compose a function which yields the value of the expression for f(2) at a given z. You will need the gamma function I, which is available in the math module as gamma , as is exp and e Your submission should include a value for a chi-squared probability density pdf as a function