Answer to Question #113401 in Statistics and Probability for Ruth Mutale Chutu

Question

1. A writer has prepared to submit six articles for publication. The probability of an article
being accepted is 0.20. Assuming independence, find the probability that the writer will
have
i. Exactly one article accepted
ii. At least two articles accepted
iii. No more than three articles accepted
iv. At most two articles accepted

Answer 1

Binomial distribution with $n=5$ and $P=0.2$ =Binom.dist excel formula can be used

$P(=1)$ can be obtained from =BINOM.DIST(1,6,0.2,FALSE) which gives 0.393216

$P(\ge2)$ can be obtained from =1-BINOM.DIST(1,6,0.2,TRUE) which gives 0.34464

$P(\le3)$ can be obtained from =BINOM.DIST(3,6,0.2,TRUE) which yields 0.98304

$P(\le2)$ can be obtained from =BINOM.DIST(2,6,0.2,TRUE) which yields 0.90112