Solve the below problems:
Q1: A survey of 254 students showed that 155 of them received academic awards, 152 received athletic awards, and 110 received both.
a What is the probability that a student received at least one of the two awards?
b What is the probability that a student did not receive either of these awards?
Q2: Suppose a salesperson makes a sale on 25 percent of customer contacts. In a normal work week, the salesperson contacts 30 customers.
a What is the probability that the salesperson will make no sales?
b What is the probability that the salesperson will make at least two sales?
c What is the probability that the salesperson will make two sales at most?
d At a gas station, cars arrive at the rate of 48 per hour.
e What is the probability of at least three cars arriving in a 10-minute time interval?
f What is the probability of 10 cars arriving in a 15-minute time interval?