Question

In: Advanced Math

Suppose the lengths of human pregnancies are normally distributed with muμequals=266266 days and sigmaσequals=1616 days. Complete...

Suppose the lengths of human pregnancies are normally distributed with muμequals=266266 days and sigmaσequals=1616 days. Complete parts ​(a) and​ (b) below. ​(a) The figure to the right represents the normal curve with mu equals 266μ=266 days and sigmaσequals=1616 days. The area to the leftleft of Upper X equals 240X=240 is 0.05210.0521. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or​ decimals.) A. The proportion of human pregnancies that last moremore than nothing days is nothing. B. The proportion of human pregnancies that last lessless than nothing days is nothing. X font size decreased by 3 266266 font size decreased by 3 240240 A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 240 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 240 and 266. The area under the curve to the left of 240 is shaded. Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or​ decimals.) A. The probability that a randomly selected human pregnancy lasts lessless than nothing days is nothing. B. The probability that a randomly selected human pregnancy lasts moremore than nothing days is nothing. ​(b) The figure to the right represents the normal curve with mu equals 266μ=266 days and sigmaσequals=1616 days. The area between xequals=280280 and x equals 295x=295 is 0.15580.1558. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or decimals. Use ascending​ order.) A. The proportion of human pregnancies that last between nothing and nothing days is nothing. B. The proportion of human pregnancies that last less than nothing or more than nothing days is nothing. X font size decreased by 3 266266 font size decreased by 3 280280 font size decreased by 3 295295 A normal curve has a horizontal axis labeled "X" and three horizontal coordinates, 266, 280, and 295. The curve's peak is near the top of the graph at horizontal coordinate 266. Three vertical line segments run from the horizontal axis to the curve at 266, 280, and 295. The area under the curve between the vertical line segments at 280 and 295 is shaded. Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or decimals. Use ascending​ order.) A. The probability that a randomly selected human pregnancy lasts between nothing and nothing days is nothing. B. The probability that a randomly selected human pregnancy lasts less than nothing or more than nothing days is nothing.

Solutions

Expert Solution


Related Solutions

The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean muμequals=254 days and...
The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean muμequals=254 days and standard deviation sigmaσequals=20 days. ​(a) What proportion of pregnancies lasts more than 264 ​days? ​(b) What proportion of pregnancies lasts between 244 and 269 ​days? ​(c) What is the probability that a randomly selected pregnancy lasts no more than 229 ​days? ​(d) A​ "very preterm" baby is one whose gestation period is less than 204 days. Are very preterm babies​ unusual?
The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean muμequals=273 days and...
The lengths of a particular​ animal's pregnancies are approximately normally​ distributed, with mean muμequals=273 days and standard deviation sigmaσequals=20 days.​(a) What proportion of pregnancies lasts more than 308 d​ays?​(b) What proportion of pregnancies lasts between 248 and 288 ​days ​(c) What is the probability that a randomly selected pregnancy lasts no more than 268 ​days? ​(d) A​ "very preterm" baby is one whose gestation period is less than 243 days. Are very preterm babies​ unusual?
The lengths of human pregnancies are normally distributed with a mean of 268 days and a...
The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300​ days?
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard...
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 307 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature.Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... a. The...
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard...
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 2​%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table.LOADING... Click to view page 2 of the table.LOADING... a. The probability...
6. The lengths of pregnancies are normally distributed with a mean of 268 days and a...
6. The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. Use this information to compute the answers for the following questions: a.Find the probability that a randomly selected pregnancy is less than250 days.Round to 3 decimals. b.Find the probability that a randomly selected pregnancy is between250 and 280days.Round to 3 decimals. c.Find the pregnancy duration(in days) that separates the bottom 90% of pregnancies fromthe top 10%.Roundto the nearestwholeday.
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard...
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 4​%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a. The probability that a pregnancy will last 309 days or longer is..... ​(Round to four decimal places as​...
1- The lengths of pregnancies are normally distributed with a mean of 267267 days and a...
1- The lengths of pregnancies are normally distributed with a mean of 267267 days and a standard deviation of 1515 days. a. Find the probability of a pregnancy lasting 307307 days or longer. b. If the length of pregnancy is in the lowest 44​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... a....
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard...
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 4 %, then the baby is premature. Find the length that separates premature babies from those who are not premature.
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard...
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 307 days or longer. (ROUND TO 4 DECIMAL PLACES) b. If the length of pregnancy is in the lowest 44​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT