SOLUTION: Sixty percent of a particular model of car are silver. What is the probability that in the next 10 observations of this model you observe 5 silver cars? (Round your answer to four

Algebra ->  Probability-and-statistics -> SOLUTION: Sixty percent of a particular model of car are silver. What is the probability that in the next 10 observations of this model you observe 5 silver cars? (Round your answer to four       Log On


   

Question 596216: Sixty percent of a particular model of car are silver. What is the probability that in the next 10 observations of this model you observe 5 silver cars? (Round your answer to four decimal places.)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(X = k) = (n ncr k)*(p)^(k)*(1-p)^(n-k)

P(X = 5) = (10 ncr 5)*(0.6)^(5)*(1-0.6)^(10-5)

P(X = 5) = (10 ncr 5)*(0.6)^(5)*(1-0.6)^(10-5)

P(X = 5) = (10 ncr 5)*(0.6)^(5)*(0.4)^(10-5)

P(X = 5) = (252)*(0.6)^(5)*(0.4)^5

P(X = 5) = (252)*(0.07776)*(0.01024)

P(X = 5) = 0.2006581248

Answer: the probability that in the next 10 observations of this model you observe 5 silver cars is approximately 0.2006581248