Time remaining:

label Statistics
account_circle Unassigned
schedule 0 Hours
account_balance_wallet \$5

determine the probability that exactly two of these vehicles require warranty service

b.) Compute the mean and standard deviation of this probability distribution (round your answer to 2 decimal places)

Mean

Standard Deviation

Oct 22nd, 2017

This is a binomial distribution with p = 0.14 (probability of each Nissan requiring warranty), k = 2 (two Nissans require warranty) and n = 14 (sample size of 14).

So P(k=1) is given by the binomial distribution pdf which is:

P(k) = (n choose k) p^k (1-p)^(n-k)

= n! / [ k!(n-k)! ] x p^k (1-p)^(n-k)

= 14! / [2! x 12!] x 0.14^2 x 0.86^12

= 14x13/2 x 0.0196 x 0.163675

= 0.2919 to 4 decimal places

(for quick questions, please just ask one question per post - if you want help on a set of question you may consider posting a paid assignment, where a tutor can help you with a full exercise and step you through each example)

Mar 10th, 2015

...
Oct 22nd, 2017
...
Oct 22nd, 2017
Oct 23rd, 2017
check_circle