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# Probability

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Please indicate whether below statements are True or False? (explain shortly why):

1. If events A and B are independent, then P(A/B) is always equal to zero.

2. If events A and B are mutually exclusive, then P(A/B) is always equal to zero.

3. If the probability of success is 0.4 and the number of trials in a binomial distribution is 150, then its standard deviation is 36.

4. If a fair coin is tossed 100 times, then the variance of the random variable defined as the number of heads is exactly five.

5. If a fair coin is tossed 20 times then the probability of exactly 10 Tails is more than 15 percent.

https://brainmass.com/statistics/probability/true-false-probability-independs-mutually-exclusive-events-407617

#### Solution Preview

See attached file.

Please indicate whether below statements are True or False? (explain shortly why):

1. If events A and B are independent, then P(A/B) is always equal to zero. False, if A and B are ...

#### Solution Summary

True or false for probability, independents, and mutually exclusive events are determined.

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