Reference no: EM132399769

Q1. An insurance company issues policies of two types - 20% are of (ins1) and the remainder are of (ins2)

For the (ins1) policies, 36% of the policyholders are female, while for (ins2) policies, only 28% of policyholders are female.

If a policy is selected at random from those held by females, what is the probability that it is a (ins1) policy (3 d.p.)?

Q2. A machine produces glass with a nominal thickness of 3mm.

In fact the thickness is a Normal random variable with mean 3.15mm and standard deviation 0.15mm.

The thickness in mm which 10% of panes exceed is (2 d.p.)?

Q3. A paint manufacturer produces cans of paint of nominal volume 1 litre.

In fact the volume of paint in a can is a Normal random variable with mean 1.036 litres and standard deviation 0.02 litres.

A single can is examined; the probability that it contains less than 1 litre is (3 d.p.)?