Normal probability below a value and the volume exceeded with a given lower-tail probability

Normal probability below a value and the volume exceeded with a given lower-tail probability

6 marks

The volume, \(V\) ml, of drink in a bottle filled by a machine is normally distributed with mean \(502\) ml and standard deviation \(3.2\) ml.

  1. Find the probability that a bottle chosen at random contains at most \(505\) ml.[2]
  2. It is given that \(\mathrm{P}(V<b)=0.12\). Find the value of \(b\).[4]

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:(a) \(0.826\) (b) \(b=498\)

Need help? Join our JC Math tuition classes.

Learn more