per day follows the Poisson distribution, find the probability that there will be 3 or
more accidents in a day.

(7)

9. The QA department of a company wants to check the life of electric bulbs for bulk purchase
of 10000 nos. They bought 50 nos of 'Philips' and 'Eveready' each for the quality check,
since they are the market leaders. It was found that 'Philips' bulbs gave an average life of
1500 hours with a standard deviation of 60 hours and 'Eveready' gave an average life of
1512 hours with a standard deviation of 80 hours. Is there a significant difference in the
mean life of the two makes of bulbs? (Take the Confidence level as

10, A research agency conducted a survey to identify the preference of colours among youth,
as a consultancy process for a new apparel company. The data is tabulated as follows.

| Colour Males | Females | Total
‏پ]‎ व्ण | 10 | 40 | 50
∣ White 70 | 30 | 100
∣ Green 30 20 | 50
| Total 110 90 | 200

Conduct a proper statistical test to find out whether there is any significant relationship

between gender and preference of colour.

11.

a. Describe the following:

Part C
Compulsory question, the question carries 20 marks

i. Types of correlations 11.

Concurrent deviation method iii.

Multiple regression

(3x10 marks = 30 marks)

(9)

b. In an effort to estimate the association between crude oil prices and gasoline process,
an oil company analyst gathered the data shown over a period of several months.
She lets crude oil prices be represented by the market value of a barrel of Reliance
intermediate crude and gasoline prices be the estimated average price of regular

unleaded gasoline in Mumbai city.

Crude
oil price | 500 | 550 | 650 | 500 | 550 | 600 | 500 | 650 | 700 | 750
Gasoline
price 1100 | 1100 | 1150 1250 | 1400 | 1150 1300 | 1200 | 1150 1600

Compute the degree of association between crude oil process and gasoline process
through Spearman's Rank con-elation Coefficient and interpret the results. (11)

(20 marks)

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