Question 1186951: 8. A hospital in a large city records the weight of every infant born at the hospital. The distribution of weights is normally shaped, with a mea n µ = 2.9 kilograms and a standard deviation of σ = 0 .45. Determine the following:
a. The percentage of infants who weighed less than 2.1 kilograms
b. The percentile rank of a weight of 4.2 kilograms
c. The percentage of infants who weighed between 1.8 and 4.0 kilograms
d. The percentage of infants who weighed between 3.4 and 4.1 kilograms
e. The weight that divides the distribution such that 1% of the weights are above it
f. Beyond what weights do the most extreme 5% of the scores lie?
g. If 15,000 infants have been born at the hospital, how many weighed less than 3.5 kgs ?
Answer by ikleyn(52754)   (Show Source):
You can put this solution on YOUR website! .
Go to online (free of charge) normal distribution probability calculator
https://onlinestatbook.com/2/calculators/normal_dist.html
Input the given parameters of each part into the appropriate window of the calculator and get the answers
to your questions a), b), c) and d).
The calculator has perfect description and design, so EVERY person, even beginner, may work with it on his or her own,
even having minimum knowledge on the subject.
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Or, alternatively, you may use your GRAPHING CALCULATOR.
See THIS Internet source / site
https://mathbits.com/MathBits/TISection/Statistics2/normaldistribution.htm
Find there EVERYTHING you need to know in clear and compact form
to solve this problem (and thousand other) similar and different problems ON YOUR OWN.
Happy calculations ( ! )
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