Probability Density Functions

import scipy.stats as stats
'''
Formula for calculating area under the graph for distribution
stats.norm.cdf(x, loc, scale)
where
    x: the value of interest
    loc: the mean of the probability distribution
    scale: the standard deviation of the probability distribution
'''
# to calculate a randomly chosen woman is less than 175 cm tall.
# given Normal(167.64, 8) - mean = 167.64, standard deviation = 8 cm
prob = stats.norm.cdf(175, 167.64, 8)
print(prob)

# given normal distribution with a mean of 20 degrees Celcius and a standard deviation of 3 degrees
# calculate probability that the weather on a randomly selected day will be between 18 to 25 degrees
temp_prob_1 = stats.norm.cdf(25, 20, 3) - stats.norm.cdf(18, 20, 3)
print(temp_prob_1)

# calculate probability that the weather on a randomly selected day will be greater than 24 degrees Celsius.
temp_prob_2 = 1 - stats.norm.cdf(24, 20, 3)
print(temp_prob_2)