During peak period, customers arrive at random at a fish and chip shop at the rate of 20 customers every 15 minutes. a. Find the probability that during peak period, exactly 15 customers will arrive in the next 15 minutes b. If the probability that more than 10 customers will arrive during 10 minutes of peak period is greater than 80%, the manager will employ an extra shop assistant. Will the manager hire and extra shop assistant?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
During peak period, customers arrive at random at a fish and chip shop at the rate of 20 customers every 15 minutes.
a. Find the
b. If the probability that more than 10 customers will arrive during 10 minutes of peak period is greater than 80%, the manager will employ an extra shop assistant. Will the manager hire and extra shop assistant?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
