Angelita and Cynthia like to play a video game against each other that is scored by round. The goal is to score as many points as possible in each round. Here are summary statistics how many points they each
score per round:
Mean
Standard deviation
Angelita
HA = 900
04 = 96
Cynthia
HC = 800
OC = 72
Both distributions are approximately normal. Suppose we choose a round at random and calculate the
difference between their scores. We can assume that their scores each round are independent.
Find the probability that Angelita's score is higher than Cynthia's.
You may round your answer to two decimal places.