Check Your understanding problem (#15) Compute the mean and varlance of the foll
ID: 2922216 • Letter: C
Question
Check Your understanding problem (#15) Compute the mean and varlance of the following probabillity distribution. (Round your answers to 2 decimal places.) Px) .10 35 20 35 15 19 FlI Mean Variance Gven a binomial distribution, n 5 and -35. Determine the probabilities of the following events usingth binomial for mula. Round your answers to 4 decimal places) Keith's Florists has 16 delivery trucks, used malnly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 16 trucks, 8 have brake problems. A sample of 4 trucks Is randomly selected. What is the probablity that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)Explanation / Answer
Mean = 7*0.10+11*0.35+15*0.20+19*0.35 = 14.2
Variance = 49*0.10+121*0.35+225*0.20+361*0.35-(14.2*14.2) = 16.96
a) P( X = 2)
Use Excel function
BINOM.DIST(2,5,0.35,FALSE)
= 0.3364
b ) P( X = 3)
Use Excel function
BINOM.DIST(3,5,0.35,FALSE)
= 0.1811
c) Use Excel function
BINOM.DIST(2,4,0.50,FALSE)
= 0.3750