Q1) Following are speeds of 40 cars clocked by radar on particular afternoon: 30, 36, 42, 36, 30,52, 36 ,34, 36, 33, 30, 32,35, 32, 37, 34, 36, 31,35, 20, 24, 46, 23, 31, 32, 45, 34, 37, 28, 40, 34, 38, 40, 52, 31, 33, 15, 27, 36, 40. Make

a) Frequency table

b) A histogram and

c) Shape of the distribution.

Q2) Describe and provide the example for each of following types of variables.

a) Rank-order

b) Nominal

c) Ratio scale

d) Continuous

3) Laptop computers manufactured by company have average life of 38.36 months. Suppose that life of computer is exponentially distributed (which is a good assumption).

i) Determine the probability that computer will fail within 12 months?

ii) If company gives warranty period of 12 months, what proportion of computers will fail in the warranty period?

iii) Based on answer to (b), would you say company can afford to give a warranty period of 12 months?

iv) If company wishes not more than 5% of computers to fail in the warranty period, what must be warranty period?