SOLUTION: In a particular examination, taken by thousands of candidates, 80 percent of the candidates pass. For a random sample of seven candidates, obtain the probability that:
ai). Exactl
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ai). Exactl
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Question 924880: In a particular examination, taken by thousands of candidates, 80 percent of the candidates pass. For a random sample of seven candidates, obtain the probability that:
ai). Exactly 5 pass the examination
aii). Fewer than half pass the examination
For part ai I completed a binomial distribution
X~B(7, 0.8)
7C5 x 0.8^5 x 0.2^2 = 0.275 (to 3 sig fig)
I dont know how to attempt the next one because how do I do half of 7 people?
Thanks ahead for the response
You can put this solution on YOUR website! p(pass) = .8 , n = 7
P(x = 5) = 7C5(.8)^5(.2)^2
or
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P(x = 5) = binompdf(7, .8, 5) = .275
.......
P(fewer than half pass) = P( x ≤ 3) 3 would be fewer than half
Using a TI calculator 0r similarly a Casio fx-115 ES plus
P( x ≤ 3) = binomcdf(7, .8,3) = .033
Highly Recommend Using a Calculator for cumulative binomial Probabilities
......
0r by hand..
P( x ≤ 4) = P(0) + P(1) +P(2) +P(3)
Using:
