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A regional community is trying to ensure that their local water supply has fluoride added to...

A regional community is trying to ensure that their local water supply has fluoride added to it, as a medical officer found that a large number of children aged between eight and twelve have at least one filling in their teeth. In order to push their cause, the community representatives have asked a local dentist to check the teeth of one hundred 8-12-year-old children from the community. Let X be the random variable for the number of 8-12-year-old children who have at least one filling in their teeth. Find the value of p, correct to 3 decimal places, if P (X ≤ 90) ≈ 0.95.

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