Question 4(b)
[Maximum number: 6]
A bag contains 50 counters, each with one of the numbers 4, 7 or 10 written on it in the ratio 2: 3: 5 respectively.
A random sample of 2 counters is taken from the bag. The numbers on the 2 counters are recorded as and
The random variable M represents the mean of and
Find the sampling distribution of M
A random sample of n sets of 2 counters is taken. The random variable T represents the number of these n sets of 2 counters that have a mean of 4
Given that each set of 2 counters is replaced after it is drawn,
