Find the indicated probabilities using the binomial, geometric or Poisson distri
ID: 2925076 • Letter: F
Question
Find the indicated probabilities using the binomial, geometric or Poisson distribution, as appropriate. 31% of adults would pay more for envronmental y friendly products. You randomly select ind te probab ity at the number o adi Swho would pay more or en ro mena 10 adults. F mendly products s a two, (b) more than two, and (c) between two and five, inclusive. Show the formula and working for computing the probability in part (a) only. (a) P(2)(Round to the nearest thousandth as needed.) (b) P(x»2)- (Round to the nearest thousandth as needed ) (c) P(2 sxs5)=O(Round to the nearest thousandth as needed.) (d) Include formula and working for the probabiity in part (a) in the Show Work' window.Explanation / Answer
We have been params of the binomial distribution as below:
p =.31
n = 10
We solve the below using the above:
a. P(X=2) = 10C2(.31^2)(.69^8) = .222
b. P(X>2) = 1- P(X<=2) = 1- (P(X=0,1,2) = 1-( 10C0(.31^0)(.69^10) +10C1(.31^1)(.69^9) +10C2(.31^2)(.69^8) ) = .643
c.P(2<=X<=5) = P(X<=5) - P(X<2) = .94489-.1344 = .820
d. It included in part a) including the formula for the same.