The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X - NV 0³ ( Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted at least 229 days. 0.9944✔ or c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 229 and 252 days. 0.1530✔ Please show the following answer to the nearest day in the whole number. d. The 89th percentile pregnancy length in this village is days.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a
standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village.
a. What is the distribution of X? X - N
Please show the following answers to 4 decimal places.
b. If a pregnancy randomly chosen in the village, find the probability that it lasted at least 229 days.
0.9944✔ Or
c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 229 and 252
days. 0.1530✓
Please show the following answer to the nearest day in the whole number.
d. The 89th percentile pregnancy length in this village is
days.
Transcribed Image Text:The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days. Let X be the length of a randomly recorded pregnancy in the village. a. What is the distribution of X? X - N Please show the following answers to 4 decimal places. b. If a pregnancy randomly chosen in the village, find the probability that it lasted at least 229 days. 0.9944✔ Or c. If a pregnancy randomly chosen in the village, find the probability that it lasted between 229 and 252 days. 0.1530✓ Please show the following answer to the nearest day in the whole number. d. The 89th percentile pregnancy length in this village is days.
Find the two x values C and D that form the middle shaded region with area of 0.76. The normal
distribution has mean u 133 and standard deviation o= 19, and the shaded region is symmetric about
the mean. Round your answers to one decimal place.
+
57
P(
Area = 0.76
76 95 114 133 152
с
D
< x <
= 0.76
171 190
209
Transcribed Image Text:Find the two x values C and D that form the middle shaded region with area of 0.76. The normal distribution has mean u 133 and standard deviation o= 19, and the shaded region is symmetric about the mean. Round your answers to one decimal place. + 57 P( Area = 0.76 76 95 114 133 152 с D < x < = 0.76 171 190 209
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