MG315 QZ 2.docx - 2 Award 0 out of 10.00 points Show my answer The United States Postal Service reports 95 of first-class mail within the same city is

MG315 QZ 2.docx - 2 Award 0 out of 10.00 points Show my...

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2.Award: 0 out of 10.00 pointsShow my answerThe United States Postal Service reports 95% of first-class mail within the same city is delivered within two days of the time of mailing. Six letters are randomly sent to different locations.Click here for the Excel Data File(a)What is the probability that all six arrive within two days? (Round your answer to 4 decimal places.) (b)What is the probability that exactly five arrive within two days? (Round your answer to 4 decimal places.) (c)Find the mean number of letters that will arrive within two days.(Round your answer to 1 decimal place.) (d-1)Compute the variance of the number that will arrive within two days. (Round your answer to 3 decimal places.) Variance (d-2)Compute the standard deviation of the number that will arrive within two days. (Round your answer to 4 decimal places.) Standard Deviation .7351 ± 0.001 .2321 ± 0.001 5.7 ± 0.1 .285 ± 0.001 .5339 ± 0.001
Explanation:(a)0.7351, found byP (6)=6!6!(6 − 6)!(.95)6(.05)0.7351, found byP (6)=6!6!(6− 6)!(.95)6(.05)0(b)0.2321, found byP (5)=6!5!(6 − 5)!(.95)5(.05)10.2321, found byP (5)=6!5!(6− 5)!(.95)5(.05)1(c)μ= 5.7, found by 6(.95)(d-1)σ2= 0.285, found by 6(.95) (.05)(d-2)σ2=0.285−−−−√=0.5339

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