Assume a binomial probability distribution has p = .60 and n = 200.a. what are the mean and standard deviation?b. Is this situation one in which binomial probabilities can be approximated by thenormal probability distribution? Explain.
Assume a binomial probability distribution has p = .60 and n = 200.a. what are the mean and standard deviation?b. Is this situation one in which binomial probabilities can be approximated by thenormal probability distribution? Explain.
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Question
Assume a binomial
a. what are the mean and standard deviation?
b. Is this situation one in which binomial probabilities can be approximated by the
Expert Solution
Step 1
a.
The binomial probability distribution has p=0.60p=0.60 and n=200n=200.
Assume that the random variable x follows binomial distribution with p=0.60 and n=200.
The formula for mean in binomial distribution is,
μ=np
Where p is the probability of success and n is the number of trials.
The formula for standard deviation is,
Thus, the standard deviation is 6.93.
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