4.9 Normal distributionIB Maths: Applications and Interpretation SL: Mind map

Exam questions on 4.9 Normal distribution

1. The mass of rice in a packet is normally distributed with mean $500$ g and standard deviation $8$ g.
   Use your GDC to find the probability that a packet has a mass less than $490$ g.2 marks
2. The time, $T$ minutes, taken by a commuter train to complete its journey is normally distributed with mean $42$ and standard deviation $6$.
   Use your GDC to find the probability that a journey takes between $40$ and $45$ minutes.2 marks
3. The mass, $M$ grams, of eggs from a farm is normally distributed with mean $62$ and standard deviation $3$. The eggs are sold in boxes of $240$.
   Use your GDC to find the probability that an egg has a mass greater than $67$ g. Hence find the expected number of eggs in a box that are heavier than $67$ g.3 marks