SOLUTION: R.H. Bruskin Associates Market Research found that 30% of Americans do not think having a college education is important to succeed in the business world. If a random sample of 5 A

Algebra ->  Probability-and-statistics -> SOLUTION: R.H. Bruskin Associates Market Research found that 30% of Americans do not think having a college education is important to succeed in the business world. If a random sample of 5 A      Log On


   

Question 883244: R.H. Bruskin Associates Market Research found that 30% of Americans do not think having a college education is important to succeed in the business world. If a random sample of 5 Americans is selected, find this probability: At least two people will agree with that statement.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the probability that none will agree.
P=0.7%2A0.7%2A0.7%2A0.7%2A0.7
P%5B0%5D=0.16807
Find the probability that exactly one person will agree.
P=0.3%2A0.7%2A0.7%2A0.7%2A0.7
P%5B1%5D=0.07203
There are 5 possible outcomes where this can occur. I-important, N-not important
NIIII, INIII, IINII,IIINI,IIIIN
So,
P%5B1%5D=5%2A0.07203=0.36015
The probability that 2 or more will agree is the difference between 1 and the sum of these two calculated probabilities.
P=1-0.16807-0.36015
P=0.47178