# Probability student receives academic awards

A survey of 254 students showed that 155 of them received academic awards, 152 received athletic awards, and 110 received both.

What is the probability that a student received at least one of the two awards?

What is the probability that a student did not receive either of these awards?

Suppose a salesperson makes a sale on 25 percent of customer contacts. In a normal work week, the salesperson contacts 30 customers.

What is the probability that the salesperson will make no sales?

What is the probability that the salesperson will make at least two sales?

What is the probability that the salesperson will make two sales at most?

At a gas station, cars arrive at the rate of 48 per hour.

What is the probability of at least three cars arriving in a 10-minute time interval?

What is the probability of 10 cars arriving in a 15-minute time interval?

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#### Solution Summary

The solution examines the probability that a student receives academic awards.