2. Peter Meets Paul Peter and Paul agree to meet at a restaurant at noon. Peter arrives at time normally distributed with mean 12:00 noon and SD 3 minutes. Paul arrives at a time normally distributed with mean 12:02 P.M. and SD 4 minutes. Find the chances below assuming that the two arrival times are independent. First, write a formula for the chance in terms of the standard normal cdf . Then use a code cell to find the numerical value. You do not have to turn in any coding work for this question. a) P(Peter arrives before Paul) b) P(both men arrive within 3 minutes of noon) c) P(the two men arrive within 3 minutes of each other) In ] #Calculation for a In ] #Calculation for b In [] # Calculation for c In [1] # Run this cell to set up your notebook # These lines make warnings go away import warnings warnings.filterwarnings('ignore') import numpy as np from scipy import stats from datascience import * from prob140 import * # These lines do some fancy plotting magic import matplotlib matplotlib inline import matplotlib.pyplot as plt plt.style.use('fivethirtyeight')