Mathematics Statistics 1 9709: THE NORMAL DISTRIBUTION Topical Past Paper Questions

A competition is taking place between two choirs, the Notes and the Classics. There is a large audience for the competition. 30% of the audience are Notes supporters. 45% of the audience are Classics supporters. ● The rest of the audience are not supporters of either of these cho…

The lifetimes, in hours, of a particular type of light bulb are normally distributed with mean 2000 hours and standard deviation $ \sigma $ hours. The probability that a randomly chosen light bulb of this type has a lifetime of more than 1800 hours is 0.96. (i) Find the value of…

(a) The random variable $ A $ has the units $ \mu $, $ \sigma $, $ j $, where $ \mu - 1.50 $. A random value of $ A $ is chosen. Find the probability that this value of $ X $ is greater than 0. [3] (b) The life of a particular type of torch battery is normally distributed with me…