4. If a coin, it is tossed 40 times and we denote X as a random variable- number of heads. Which of the following is true? (it can multiple choice) a) X has a binomial distribution with n=40 and p=0.5 b) X will almos certaintly equal 20 because H=np=20 e) P(x>25)= d) The parameter n is large enough for the normal approximation e) P (X>25) is approximately the same as the probability a standard normal random variable is greater than z=25.5

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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4. If a coin, it is tossed 40 times and we denote X as a
random variable- number of heads. Which of the
following is true? (it can multiple choice)
a) X has a binomial distribution with n=40 and
p=0.5
b) X will almos certaintly equal 20 because
H=np=20
e) P(x>25)=
d) The parameter n is large enough for the
normal approximation
e) P (X>25) is approximately the same as the
probability a standard normal random
variable is greater than z=25.5
Transcribed Image Text:4. If a coin, it is tossed 40 times and we denote X as a random variable- number of heads. Which of the following is true? (it can multiple choice) a) X has a binomial distribution with n=40 and p=0.5 b) X will almos certaintly equal 20 because H=np=20 e) P(x>25)= d) The parameter n is large enough for the normal approximation e) P (X>25) is approximately the same as the probability a standard normal random variable is greater than z=25.5
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