A local florist sells luxury bouquets at an average rate of 1.5 per day.
Find the probability that the florist sells more than 15 luxury bouquets in a 10-day period.
Once every 10 days, the florist receives a fresh shipment of bouquets.
Find the least number of bouquets the florist should have in stock immediately after a shipment arrives so that the probability of selling out (running out of stock) before the next shipment is less than 0.01.
In an attempt to boost sales, the florist runs a social media advertising campaign for three months. A random sample of 40 days is taken from this period. In this sample, 75 luxury bouquets are sold.
Using a suitable approximation and a 5% level of significance, test whether or not the average rate of sales per day has increased during the advertising campaign. State your hypotheses clearly.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.