SOLUTION: A sleeping pill is effective for 75% of the population. If 160 patients are given this sleeping pill then what is the probability or approximate probability that 125 patients or mo

Question 984050: A sleeping pill is effective for 75% of the population. If 160 patients are given this sleeping pill then what is the probability or approximate probability that 125 patients or more will sleep better?
I want to determine the binomial probability of exactly x successes in n independent trials, when the probability of exactly one success in one trial is p. Here n = 160 and p=.75
We want to find the success of 125 or more, so that would be patients 125 - 160. My difficulty is writing this "shorthand." I don't want to have to write out 35 equations if I don't have to...

Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
A sleeping pill is effective for 75% of the population. If 160 patients are given this sleeping pill then what is the probability or approximate probability that 125 patients or more will sleep better?
I want to determine the binomial probability of exactly x successes in n independent trials, when the probability of exactly one success in one trial is p. Here n = 160 and p=.75
We want to find the success of 125 or more, so that would be patients 125 - 160. My difficulty is writing this "shorthand." I don't want to have to write out 35 equations if I don't have to...

Excel:

BINOMDIST(124,160,.75,1)

This indicates the CUMULATIVE probability of 124, or less, or 0 - 124, which should give you: .79291422

You then subtract this CUMULATIVE probability from 1 to get the CUMULATIVE probability of 125 and more, or 125 - 160

Final result:  -------> 

You can also do this calc. on the TI-83/84 calculator. 

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