Question

An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of the country from 241 to 303 days before the birth of the child, so the pregnancy would have been less than 241 days or more than 303 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention.

What is the probability that he was NOT the father? Calculate
the *z*-scores first, and then use those to calculate the
probability. (Round your answer to four decimal places.)

What is the probability that he could be the father? (Round your
answer to four decimal places.)

Answer #1

Can anyone give me a detailed solution to this problem because
my teacher has already given me a very brief solution, but I still
do not understand how to do it. Thanks!
An expert witness in a paternity lawsuit testifies that the
length (in days) of a pregnancy, from conception to delivery, is
approximately normally distributed, with parameters μ = 270 and σ =
10. The defendant is able to provide evidence that he was out of
the country during...

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean muequals276 days and
standard deviation sigmaequals16 days. (a) What proportion of
pregnancies lasts more than 300 days? (b) What proportion of
pregnancies lasts between 268 and 288 days? (c) What is the
probability that a randomly selected pregnancy lasts no more than
248 days? (d) A "very preterm" baby is one whose gestation
period is less than 240 days. Are very preterm babies unusual?
The proportion of...

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean
muμequals=265265
days and standard deviation
sigmaσequals=1616
days.(a) What proportion of pregnancies lasts more than
285285
days?(b) What proportion of pregnancies lasts between
253253
and
273273
days?(c) What is the probability that a randomly selected
pregnancy lasts no more than
237237
days?(d) A "very preterm" baby is one whose gestation period
is less than
229229
days. Are very preterm babies unusual?
LOADING...
Click the icon to view a...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with a mean
μ=192 days and a standard deviation of σ=19 days. Complete parts
(a) through (f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than 185 days?
The probability that a randomly selected pregnancy lasts less
than 185 days is approximately nothing. (Round to four decimal
places as needed.)
Interpret this probability. Select the correct choice below and
fill in...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean
mu equals 273 daysμ=273 days
and standard deviation
sigma equals 17 daysσ=17 days.
Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than
267267
days?The probability that a randomly selected pregnancy lasts
less than
267267
days is approximately
. 3632.3632.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean mu equals 263 days and
standard deviation sigma equals 15 days. Complete parts (a)
through (f) below. (a) What is the probability that a randomly
selected pregnancy lasts less than 257 days? The probability that
a randomly selected pregnancy lasts less than 257 days is
approximately nothing. (Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below and
fill...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean
mu equals 147 daysμ=147 days
and standard deviation
sigma equals 12 daysσ=12 days.
Complete parts (a) through (f) below.Click here to view the
standard normal distribution table (page 1).
LOADING...
Click here to view the standard normal distribution table (page
2).
LOADING...
(a) What is the probability that a randomly selected pregnancy
lasts less than
143143
days?The probability that a randomly selected pregnancy lasts...

Birth weight and gestational age. The Child
Health and Development Studies considered pregnancies among women
in the San Francisco East Bay area. Researchers took a random
sample of 50 pregnancies and used statistical software to construct
a linear regression model to predict a baby's birth weight in
ounces using the gestation age (the number of days the mother was
pregnant). A portion of the computer output and the scatter plot is
shown below. Round all calculated results to four decimal...

Birth weight and gestational age. The Child
Health and Development Studies considered pregnancies among women
in the San Francisco East Bay area. Researchers took a random
sample of 50 pregnancies and used statistical software to construct
a linear regression model to predict a baby's birth weight in
ounces using the gestation age (the number of days the mother was
pregnant). A portion of the computer output and the scatter plot is
shown below. Round all calculated results to four decimal...

Suppose the lengths of the pregnancies of a certain
animal are approximately normally distributed with mean 217 days
and the standard deviation 12 days.
(a) What is the probability that a randomly selected pregnancy
lasts less than 213 days?
The probability that a randomly selected pregnancy lasts less
than
213 days is approximately ?(Round to four decimal places as
needed.)
Interpret this probability. Select the correct choice
below and fill in the answer box within your choice.
(Round to the...

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