A hospital in a large city records the weight of every infant born at the hospital. The distribution of weights is normally distributed, with a mean μ = 2.9 kilograms and a standard deviation o= 0.45. Determine the following and attach R code. (a) The percentage of infants who weighted less than 2.1 kilograms. (b) The percentage of infants who weighed between 1.8 and 4.0 kilograms. (c) The weight that divides the distribution such that 5% of the weights are above it. (d) If 15,000 infants have been born at the hospital, approximately how many weighed less than 3.5 kilograms?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A hospital in a large city records the weight of every infant born at the hospital.
The distribution of weights is normally distributed, with a mean = 2.9 kilograms and
a standard deviation o= 0.45. Determine the following and attach R code.
(a) The percentage of infants who weighted less than 2.1 kilograms.
(b) The percentage of infants who weighed between 1.8 and 4.0 kilograms.
(c) The weight that divides the distribution such that 5% of the weights are above it.
(d) If 15,000 infants have been born at the hospital, approximately how many weighed
less than 3.5 kilograms?
Transcribed Image Text:A hospital in a large city records the weight of every infant born at the hospital. The distribution of weights is normally distributed, with a mean = 2.9 kilograms and a standard deviation o= 0.45. Determine the following and attach R code. (a) The percentage of infants who weighted less than 2.1 kilograms. (b) The percentage of infants who weighed between 1.8 and 4.0 kilograms. (c) The weight that divides the distribution such that 5% of the weights are above it. (d) If 15,000 infants have been born at the hospital, approximately how many weighed less than 3.5 kilograms?
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