SOLUTION: About 4% of the scientists in the National Academy of Sciences believe in PSI (parapsychology such as psychokinesis, telepathy, and astral projection). At a convention 157 members

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Question 859818: About 4% of the scientists in the National Academy of Sciences believe in PSI (parapsychology such as psychokinesis, telepathy, and astral projection). At a convention 157 members show up. Let X be the number of scientists at the convention who believe in PSI. You may assume for the following questions that X is binomially distributed with parameters n=157 and p=0.04.
(a) How many scientists at the convention do you expect do believe in PSI? Answer
(b) What are the chances that none of the scientists at the convention believes in PSI? Answer
(c) What are the chances that at least 4 scientists at the convention believe in PSI? Answer
(d) What is the standard deviation of X? Answer

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
p = .04, n = 157
(a) How many scientists at the convention do you expect do believe in PSI? .04%2A157 = approximately 7
(b) What are the chances that none of the scientists at the convention believes in PSI? .96%5E157+
(c) What are the chances that at least 4 scientists at the convention believe in PSI? 1+-+binomcdf%28157%2C.04%2C3%29
(d) What is the standard deviation of X?+sqrt%28.04%2A.96%2A157%29