Assignment Submission For this assignment, you submit answers by question parts

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Assignment Submission For this assignment, you submit answers by question parts The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Practice Your last submission is used for your score Q: A certa over 4 has me be a sa 18. O-12 points BBUnderStat 12 6.R.017 My Notes Ask Your T One environmental group did a study of recycling habits in a California community. It found that 72% of the au in um ans sold in the area were recycled. (Use the normal approximation. Round your answers to four decimal places.) nomal sprextation A: See an (a) If 388 cans are sold today, what is the probability that 300 or more will be recycled? Q: A Euro fund ha Suppos stocks i (b) Of the 388 cans sold, what is the probability that between 260 and 300 will be recycled? View Next Question >>

Explanation / Answer

Solution:- Given p = 0.72, n = 388

mean = n*p = 388*0.72 = 279.36

standard deviation = sqrt(n*p*q) = sqrt(388*0.72*0.28) = 8.84

(a) P(x > 300) = P((x-?)/? > (300 - 279.36)/8.84)
= P(Z > 2.3348)
= 0.0099

(b) P(260 < x < 300) = P((260 - 279.36)/8.84 < Z < (300 - 279.36)/8.84)
= P(?2.1900 < Z < 2.3348)
= 0.9758

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