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P (Company will pass test/no shortage) = 0.90

P (Company will pass test/small shortage) = 0.50

P (Company will pass test/large shortage) = 0.20

Required:

i) Determine the probability if a company being audited fails this test has large or small inventory shortage.

ii) If a company being audited passes this test, what is the probability of no inventory shortage?

X 1 2 3 4 5

Y 2 5 3 8 7

Assume a normal distribution.

i) How many lamps will fail before 900 hours?

ii) How many lamps will fail between 950 and 1000 hours?

iii) What proportion of lamps will fail before 925 hours?

iv) Given the same mean life, what would the standard deviation have to be to ensure that no more than 20% of lamps fail before 916 hours

more than 5.5 million euros?

between 4.9 and 5.1 million euros?

a) Construct a stem and leaf plot of the scores (5)

b) Calculate the mean, median and mode of the data set. (6)

c) Calculate the standard deviation of the scores (5)

d) Determine the coefficient of variation (2)

e)The FIBA European Championships during the same period had an average winning score

of 102 with a standard deviation of 10. Which championship is more consistent and why? (4)

f) Group the winnings scores into classes 80 - 89 - 90 - 99 etc. until all the values have been accounted for.(3)

g) Construct a histogram of the data and comment on the shape of the distribution (5)

a) Construct a stem and leaf plot of the scores (5)

b) Calculate the mean, median and mode of the data set (6)

c) Calculate the standers deviation of the scores (5)

d) Determine the coefficient of variation (2)

e) The FIBA European Championships during the same period had an average winning score

of 102 with a standard deviation of 10. Which championship is more consistent and why? (4)

f) Group the winnings scores into classes 80 - 89 - 90 - 99 etc, until all the values have been

accounted for. (3)

g) Construct a histogram of the data and comment on the shape of the distribution (5)

69 67 74 50 4 75 67 62 66 80 64 65

a) Calculate the quartiles of the data set (6)

b) Find the interquartile range (IQR) of the data (2)

c) Identify any outliers if present (5)

d) If there is/are outlier(s), what might be some explanation fo=r the outliers(s) (2)

e) Construct a box plot of the data set (4)

f) What information does the box plot deliver? (1)