A quality-control sensor checks 7 products, one product at a time. For each batch, the random variable X X\,X represents the number of products detected as faulty. Morgan models X X\,X as B(7,0.6)B(7, 0.6)B(7,0.6). For each batch, the random variable Y Y\,Y represents the inspection on which the first faulty product is detected.
State an assumption Morgan makes to use this model.
Using Morgan's model, find P(X=3)P(X = 3)P(X=3)
Using Morgan's model, find P(Y=7)P(Y = 7)P(Y=7)
57 exam-style questions on Edexcel AS Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.