The length of human pregnancies from conception to birth varies according to a d

Question

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 267 days and standard deviation 13 days (a) What proportion of pregnancies last less than 270 days (about 9 months)? 5910 (Please use 4 decimal places.) (b) What proportion of pregnancies last between 240 and 270 days (roughly between 8 months and 9 months)? 5722(Please use 4 decimal places.,) (c) How long do the longest 20% of pregnancies last? 277.25x (Please use 2 decimal places.) The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75 (d) What are the quartiles of the standard Normal distribution? (Use 2 decimal places.) Q1 Q3 = (e) What are the quartiles of the distribution of lengths of human pregnancies? Please use 2 decimal places. Q1 =

Explanation / Answer

c) for top 20% ;z score =0.8416

corresponding score=mean+z*std deviation=277.94(please revert as z with two decimals it can be 277.92)

d) Q1 =-0.67

Q3 =0.67

e)

quartiles : Q1 =mean+z*std deviation=258.23( z with two decimals it can be 258.29)

quartiles : Q3 =mean+z*std deviation=275.77( z with two decimals it can be 275.71)

please revert for any clarification

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