Please solve and explain:
1. You toss a coin 270 times. Find the probability that exactly 135 of the 270 tosses will be
heads.
2. 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 144
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=144
and p=0.04.
(a) How many scientists at the convention do you expect do believe in PSI?
(b) What are the chances that none of the scientists at the convention believes in PSI?
(c) What are the chances that at least 4 scientists at the convention believe in PSI?
(d) What is the standard deviation of X?
Solution
a)scientists at the convention do you expect do believe in
PSI=mean=140*4/100=6(approx of 5.6); b)134; c)134.4 d)5.76.
Please solve and explain 1. You toss a coin 270 times. Find the.pdf
1. Please solve and explain:
1. You toss a coin 270 times. Find the probability that exactly 135 of the 270 tosses will be
heads.
2. 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 144
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=144
and p=0.04.
(a) How many scientists at the convention do you expect do believe in PSI?
(b) What are the chances that none of the scientists at the convention believes in PSI?
(c) What are the chances that at least 4 scientists at the convention believe in PSI?
(d) What is the standard deviation of X?
Solution
a)scientists at the convention do you expect do believe in
PSI=mean=140*4/100=6(approx of 5.6); b)134; c)134.4 d)5.76
