please answer 3-5
3.A given binomial experiment with 40 trials has a probability of success of p = 0.85. Why is it appropriate to use a normal approximation to this binomial distribution?
4.A given binomial experiment with 50 trials has a probability of success of 0.75. What is the probability that the next binomial experiment with 50 trials will have less than 32 successes? Apply a normal approximation!
5.Approximately 64% of the people murdered actually knew their murderer. Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer?
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