SOLUTION: find the probability that exactly 5 of the 12 companies test for substance abuse How do i find the probability that at least half of the companies test for substance abuse? 8

Algebra.Com
Question 470656: find the probability that exactly 5 of the 12 companies test for substance abuse
How do i find the probability that at least half of the companies test for substance abuse?
80% test employees for substance abuse, the study involves the random selection of 12 companies

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p(CO test) = .8 & q = .2
nCx =
P(exactly 5 test) = 12C5(.8)^5(.2)^7 = 792(.8)^5(.2)^7 = .0033
P(at least half) = 1 - P(0)-P(1)-P(2)-P(3)-P(4)-P(5)= .9961
Recommend the use of a personal statistical calculator or using the calculators on sites such as: stattrek.com
RELATED QUESTIONS

among com[anies doing highway or brige construction , 80% test employees for substance... (answered by stanbon)
7. Among companies doing highway or bridge construction, 80% test employees for... (answered by stanbon)
For every lot of a liquid substance that arrives, I do a pass/fail test. I've received... (answered by solver91311)
The yearly rates of traffic accidents and violations were studied for a group of 140... (answered by Boreal)
The yearly rates of traffic accidents and violations were studied for a group of 140... (answered by CPhill)
According to a recent study, 1 in every 6 women has been a victim of domestic abuse at... (answered by jim_thompson5910)
According to a recent study, 1 in every 7 women has been a victim of domestic abuse at... (answered by Boreal)
The number of cars arrived at toll plaza in any given hour is a random variable... (answered by reviewermath)
A recent Wall Street Journal article indicated that 38% of American teenagers use... (answered by Boreal)