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We know that based on the Binomial distribution, probability of x successes in n trials when...

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Statistics

We know that based on the Binomial distribution, probability ofx successes in n trials when the probability of success is (p) canbe calculated by multiplying Combinations of n items x by x,multiplied by the probability of success (p) raised to (x) andmultiplied by (1-p) raised to (n-x).

1. If probability of having a child who will study business incollege (probability of success) is 0.25, what is the probabilityof a family with 6 children will have 3 of them study business incollege

2. If probability of catching a cold is 0.03, what is theprobability of 3 people out of six catching a cold?

3. If probability of catching a cold is 0.97, what is theprobability of 3 people out of six catching a cold?

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