Question

A liquidator of surplus goods has purchased four hundred 2-person and 4-person rubber lifeboats. Some boats have manufacturing defects. The distribution of the 400 boats appears below.

                                                           Type of Boat

Manufacturing

  Defects                               2-Person               4-Person

___________________________________________________

  No                                     202                         108

  Yes                                     48                           42

a) What is the probability that a boat is defective? (Carry answer to the nearest thousandths)

b) What is the probability that a boat is defective if is a 4-person boat? (Carry answer to the nearest hundredths)

Answer 1

The data is provided as:

Manufacturing Defects	Type of Boat
	2-Person	4-Person	Total
No	202	108	310
Yes	48	42	90
Total	250	150	400

a)

P(Boat is defective)

b)

P(Boat is defective/ 4-person boat)

= P(Boat is defective and 4 person boat) / P(4-person boat)

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