In: Statistics and Probability
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 probability that a pregnancy will last
307307
days or longer is
nothing.
(Round to four decimal places as needed.)
b. Babies who are born on or before
nothing
days are considered premature.
(Round to the nearest integer as needed.)
2-
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
309309
days or longer. b. If the length of pregnancy is in the lowest
33%,
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 that a pregnancy will last
309309
days or longer is
nothing.
(Round to four decimal places as needed.)
b. Babies who are born on or before
nothing
days are considered premature.
(Round to the nearest integer as needed.)
3-
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between
150150
lb and
191191
lb. The new population of pilots has normally distributed weights with a mean of
155 lb155 lb
and a standard deviation of
33.1 lb33.1 lb.
a. If a pilot is randomly selected, find the probability that his weight is between
150150
lb and
191191
lb.The probability is approximately
nothing.
(Round to four decimal places as needed.)b. If
3838
different pilots are randomly selected, find the probability that their mean weight is between
150150
lb and
191191
lb.The probability is approximately
nothing.
(Round to four decimal places as needed.)
c. When redesigning the ejection seat, which probability is more relevant?
A.
Part (a) because the seat performance for a single pilot is more important.
B.
Part (a) because the seat performance for a sample of pilots is more important.
C.
Part (b) because the seat performance for a single pilot is more important.
D.
Part (b) because the seat performance for a sample of pilots is more important.