1 assume that the birth weight per gestation period below...

1 Assume that the birth weight per gestation period below follows a Normal distribution, and answer the following questions below. Gestation period Mean birth weight Standard deviation Under 28 weeks 1.90 lb 0.72 lb 28 to 31 weeks 3.49 lb 1.01 lb 32 to 33 weeks 4.62 lb 0.95 lb 34 to 36 weeks 5.97 lb 1.02 lb 37 to 38 weeks 7.01 lb 0.92 lb 39 to 40 weeks 7.59 lb 0.84 lb 41 weeks 7.92 lb 0.87 lb 42 weeks and over 8.07 lb 1.01 lb 1) What is the probability of weighting less than 4 pounds if born under 28 weeks of gestation? 2) What is the probability of weighting less than 4 pounds if born between 32 and 33 weeks of gestation? 3) What is the probability of weighting less than 4 pounds if born between 39 and 40 weeks of gestation?

Transcript

00:01 Hello everyone in this problem we have given the data here we have the guest station period guest station period under 28 weeks 28 to 31 weeks 32 to 33 weeks 34 to 36 weeks 37 to 39 weeks 40 weeks 41 weeks 41 weeks 42 weeks and above.

00:37 And where he have mean birth weight, mean birth weight.

00:45 And here we write standard aviation.

00:48 1 .90 lb, 1 .22 lb.

00:53 Now the unit is same.

00:55 4 .12, 5 .14, 6 .19.

00:59 7 .29.

01:00 7 .29.

01:01 7 .6 .6 .7 .29 .7 .6 .7 .7.

01:03 7 .75, 7 .57.

01:07 And here we have 1 .87, 1 .87, 1 .89, 1 .08, 1 .04, 1 .07, 1 .07, 1 .01 .01 .1 .01.

01:22 Now we have to find the percentage of the babies born within each gestation period has a low birth weight and in the first under 28 weeks under 28 weeks so for this to find the percentage we use the formula z is equal to x minus mean over standard deviation so we get here we get 5 .5 minus 1 .9 over 1 .22.

02:00 So we get 2 .9508.

02:05 So using normal standard deviation distribution in excel, we get p.

02:14 X less than 5 .5 is 0 .9984.

02:21 About that means 99 .8.

02:24 8 .84 % of babies with a gestation period of 28 weeks have a birth weight less than 5 .5 lbs.

02:35 So in the next 32 to 33 weeks.

02:42 So z is equal to x minus mean over standard aviation.

02:46 5 .5 minus 4 .66 over 1 .57.

02:52 We get 0 .229 to 9 to 9 .9.

02:57 Now, using the normal distribution, we get x less than 5 .5 is 0 .018904.

03:08 That is 59 .01 % of babies have a gestation period of 32 to 33 weeks have a birth weight less than 5 .5 lbs.

03:21 And in the next 40 weeks and over.

03:27 So we have z is equal to 5 .5 minus 1 .86 over 1 .04 minus 1 .07692.

03:40 So from the normal distribution, p x less than 5 .5 is 0 .031, that is 3 .1.

03:52 1 % of babies of 40 weeks and over and have a birth weight less than or more than lows more than 5 .5 lbs.

04:05 Now in the second, describe the weights of the top 10 % of babies born within each gestation period...

Question

Please give Ace some feedback