A sign on the petrol pumps of a chain of petrol stations encourages customers to have their oil checked, claiming that one out of every four cars should have its oil topped up. A sample of ten cars entering a petrol station is randomly chosen.
Let X denote the number of cars that should have their oil topped up.
a) State the probability distribution of X (including the values of all parameters)
Probability distribution: Answer
Binomial
Parameters: Answer
= Answer
and Answer
= Answer
. Enter your answer to 2 decimal places.