Question One (20 Marks)

1. The weight of biscuits in a packet may be modeled by a normal distribution with a mean of 302g and standard deviation of 2g. what proportion of packets will weigh less than 300g (5 Marks)
2. Calculate Karl Pearson's coefficient of correlation between the age of husbands and age of wires on the data given below; (10 marks)

Age of husbands	23	27	28	28	28	30	33	35	38
Age of wives	18	20	22	27	21	29	29	28	29

1. Explain any five applications of statistics (5 marks)

Question Two (20marks)

• The number of telephone calls received daily in a marketing department of a company for 200 days are given below;

No of calls	5-10	10-15	15-20	20-25	25-30	30-35	35-40	40-45	45-50
Frequency	7	15	24	31	42	30	26	15	10

Calculate the;

• Mean (4 Marks)

Median (4 Marks

• Median (4 Marks)
• Mode (4 Marks)

• (i) State any TWO properties of a Poisson distribution. (2 Marks)

• Let the probability that an individual suffers a bad reaction from an injection is 0.001. What is the probability that out of 3000 individuals.

• Exactly 3 (3 Marks)
• More than 2 individual will suffer a bad reaction. (3 Marks)