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In a bakery, 8% of cakes baked in an oven are deformed. Please keep at least...

In a bakery, 8% of cakes baked in an oven are deformed.

Please keep at least five decimal points if possible

a. If 3 cakes are randomly selected for review, compute the probability first one is deformed and other 2 are not deformed.

b) A chef randomly takes cakes out of oven to look for deformation. If M is the number of cakes observed to find the 1st defective cake, then M has a geometric distribution.

Compute the probability that more than 10 cakes need to be observed to find the first deformed cake.

c) A chef takes a random sample of 50 cakes. If Z  number of deformed cakes among 50 cakes, then Z has binomial distribution. Compute the probability that less than ten cakes will be deformed from a random selection of 50 under normal baking.

Math   Statistics-And-Probability   
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