### Binomial distribution and standard deviation

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Probability: Binomial Distribution and Standard Deviation

You are performing a genetic experiment on dogs. A recent study indicates that 40% of all the dogs have desired trait D. You decide to test 25 dogs to determine if they have trait D or not. Answer the following questions using your knowledge of probability:

A. What is the probability that more than 10 dogs have trait D?
B. What is the probability that at most 11 dogs have trait D?
C. What is the probability that between 5 and 17(inclusive) dogs have trait D?
E. The standard deviation of the number of dogs which have trait D.

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