Question 1004976
From previous records it was estimated that the probability that a student passes a statistics test is 0.95. A class consists of 65 students. 
Binomial Problem with n = 65 and p = 0.95
-------------------------

Determine the probability that 
i) 60 persons will pass
P(x = 60) = 65C60(0.95)^60*(0.05)^5 = binompdf(65,0.95,60) = 0.1189
-----------------------------
ii)at least 63 persons will pass
P(x >= 63) = 1 - binomcdf(65,0.95,62) = 0.3630
--------------------------------------------------
iii) at least one person will pass
P(x >=1) = 1 - P(x = 0) = 1 - binompdf(65,0.95,0) = 1 - (approximately zero)
= approximately 1
-----------
Cheers,
Stan H.
------------