Rickets Vitamin D is essential for strong, healthy bones.Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supple-ment. Although the bone disease rickets was largely eliminated in England during the 1950s, some peoplethere are concerned that this generation of children is atincreased risk because they are more likely to watch TV or play computer games than spend time outdoors. Re-cent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a groupof elementary school children.a) What’s the probability that the first vitamin D–deficient child is the 8th one tested?b) What’s the probability that the first 10 children testedare all okay?c) How many kids do they expect to test before findingone who has this vitamin deficiency?d) They will test 50 students at the third-grade level. Findthe mean and standard deviation of the number whomay be deficient in vitamin D.e) If they test 320 children at this school, what’s theprobability that no more than 50 of them have thevitamin deficiency?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Rickets Vitamin D is essential for strong, healthy bones.
Our bodies produce vitamin D naturally when sunlight
falls upon the skin, or it can be taken as a dietary supple-
ment. Although the bone disease rickets was largely
eliminated in England during the 1950s, some people
there are concerned that this generation of children is at
increased risk because they are more likely to watch TV
or play computer games than spend time outdoors. Re-
cent research indicated that about 20% of British children
are deficient in vitamin D. Suppose doctors test a group
of elementary school children.
a) What’s the probability that the first vitamin D–
deficient child is the 8th one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the
vitamin deficiency?
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