In: Statistics and Probability
A garage sells three types of fuel: unleaded petrol, diesel and
tractor diesel. The probability that a randomly selected customer
will buy a particular fuel is shown in the table:
Fuel Probability
Unleaded 0.40
Diesel 0.45
Tractor Diesel 0.15
1. Find the probability that of two randomly selected customers:
(i) Both will buy diesel (ii) Exactly one will buy diesel 2. Find
the probability that of three randomly selected customers: (i) All
will buy unleaded (ii) Exactly two will buy diesel (ii) One will
buy tractor diesel, one will buy unleaded and one will buy
diesel
2. A mechanical device has a wearout time distributed normally with a mean of 1100 hours and a standard deviation of 50 hours. Find the values that constitute the central 95% of the wearout times.