Briefly describe the main features of a binomial distribution.
I conduct an experiment by randomly selecting 10 cards, without replacement, from a normal pack of 52 .
Explain why the distribution of \(X\), the number of hearts obtained, is not \(\mathrm { B } \left( 10 , \frac { 1 } { 4 } \right)\).
(2 marks)
After making the appropriate adjustment to the experiment, which should be stated, so that the distribution is \(\mathrm { B } \left( 10 , \frac { 1 } { 4 } \right)\), find
the probability of getting no hearts,
the probability of getting 4 or more hearts.
If the modified experiment is repeated 50 times, find the total number of hearts that you would you expect to have drawn.