The Normal distributionEdexcel International A Level Maths: Mind map

Exam questions on The Normal distribution

1. The mass of an egg, $X$ grams, is Normally distributed with mean 60 and standard deviation 4.
   Find the probability that an egg has a mass between 54 g and 66 g.2 marks
2. The time, $T$ minutes, taken by a bus to complete its route is Normally distributed with $T\sim\mathrm{N}(42,\,9)$.
   Find the value of $t$ such that $\mathrm{P}(T<t)=0.9772$.2 marks
3. The heights of adult women in a population are Normally distributed with mean 164 cm and standard deviation 6 cm.
   Find the probability that a randomly chosen woman has a height between 158 cm and 173 cm.3 marks