(a) In a certain population about 50% of the individuals have Type O blood, 40% have Type A , 8% have Type B, and remaining have Type AB. Among 4 potential donors, what is the probability that (i) All are Type A? (i) They all are not Type O? (ii) At least two persons are Type B?

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(a) In a certain population about 50% of the individuals have Type O blood, 40% have
Type A , 8% have Type B, and remaining have Type AB. Among 4 potential donors,
what is the probability that
(1)
All are Type A?
(ii)
They all are not Type O?
(i)
At least two persons are Type B?
(b) The completion of a certain project work in time depends on whether or not there is
a strike by the workers. The probability of a strike is 0.70. If there is no strike, the
probability that the project will be completed in time is 0.80. If there is a strike, the
probability that the project will be completed in time is 0.25.
(i)
What is the probability that the project will be completed in time?
(i)
Given that the project got completed in time, what is the probability that
there was no strike?
Transcribed Image Text:(a) In a certain population about 50% of the individuals have Type O blood, 40% have Type A , 8% have Type B, and remaining have Type AB. Among 4 potential donors, what is the probability that (1) All are Type A? (ii) They all are not Type O? (i) At least two persons are Type B? (b) The completion of a certain project work in time depends on whether or not there is a strike by the workers. The probability of a strike is 0.70. If there is no strike, the probability that the project will be completed in time is 0.80. If there is a strike, the probability that the project will be completed in time is 0.25. (i) What is the probability that the project will be completed in time? (i) Given that the project got completed in time, what is the probability that there was no strike?
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