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2. A random study, on samples, of the number of defective devices produced from

two companies produced the following results [10 Marks]

Company A

Company B

Total

Defective Devices Non-defective

Devices

70

150

220

30

60

90

Total

100

210

310

a) Give the joint probability table of the produced devices

b) What is the probability that a manufactured device is defective?

c) What is the probability that a manufactured device is from company B and

non-defective?

d) What is the probability that a manufactured device is from company A or

company B?

e) What is the probability that a device is defective if it is manufactured by

company B?

Fig: 1