please help me with statistics questions

Problem 6 ( 10 points ) Suppose an antibiotic has been shown to be 70%/ effective against a common bacteria .* a . If the antibiotic is given to 5 unrelated individuals with the bacteria , what is the probability that it will be effective in exactly 3? Interpret this probability . 6 . What is the probability that the antibiotic will be effective in all five ?" C . What is the probability that the antibiotic will be effective in none of the five ?" d . What is the expected value ( the mean number of patients out of five in whom the antibiotic is effective ! ? Use appropriate statistical notation ('s ) . c . What is the variance in the number of successes?" Use appropriate statistical notation ( s ) . Problem 7 ( 4 points )* Suppose the average number of emails received by the junior* analyst at your company is 5 emails / hour . Suppose the count of emails received can be modeled by a Poisson random variable . a . What is the probability that this junior analyst receives exactly 5 emails in any given hour ?" b. What is the standard deviation of this Poisson distribution ?&quot