SOLUTION: In a recent study 90 percent of the homes in the United States were found to have color TVs. In a sample of nine homes, what is the probability that:
a. All nine have color TVs?
Algebra.Com
Question 481082: In a recent study 90 percent of the homes in the United States were found to have color TVs. In a sample of nine homes, what is the probability that:
a. All nine have color TVs?
b. Less than five have color TVs?
c. More than five have color TVs?
d. At least seven homes have color TVs?
I am confused I was told this problem is Binomial but I can't seem to solve it can someone please help me out please. Thank you very much.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a recent study 90 percent of the homes in the United States were found to have color TVs. In a sample of nine homes, what is the probability that:
----
Binomial Problem with n = 9 and p = 0.9
----
a. All nine have color TVs?
P(x=9) = 9C9(0.9)^9*(0.1)^0 = 0.9^9 = 0.3874
----------------------------------------------------
b. Less than five have color TVs?
P(0<= x <=4) = binomcdf(9,0.9,4) = 0.0008909
-----------------------------------------
c. More than five have color TVs?
P(6<= x <=9) = 1 - binomcdf(9,0.9,5) = 0.9917
-----------------------------------------
d. At least seven homes have color TVs?
P(7<= x <=9) = 1-binomcdf(9,0.9,6) = 0.9470
==================================
I used a TI-84 to get the cumulative probabilities.
Cheers,
Stan H.
RELATED QUESTIONS
In a recent study 90 percent of the homes in the United States were found to have color... (answered by stanbon)
In a recent study 90 percent of the homes in the United States were found to have color... (answered by stanbon)
four out of every 10 homes in the united states have a dog.write an algebraic expression... (answered by saifoo.khan)
a city of 25,000 homes survey was taken to determine how many had hd tvs. Of the 300... (answered by checkley79)
In a recent year, the rate of U.S. home ownership was 65.9%. Choose a random sample of... (answered by ewatrrr)
In a recent study it was found that 90% of households own large screen TVs. A simple... (answered by Boreal)
Smart TVs have seen success in the United States market. During the 2nd quarter of
2015... (answered by ikleyn)
Identify the population of interest and sample in the following statement.
A survey of... (answered by ewatrrr)
seven out of every 20 homes that own at least one television have two televisions. what... (answered by ewatrrr)