The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and
one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk m and cups of juice j a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone?
1 answer:
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Answer:
Probability of fewer than 4 = 0.0339
Explanation:
This is a question on binomial distribution. It is a distribution which has two possible outcome; a success or a failure
Probability of success (p) = 49%
Probability of failure (q) = 1 - 49% = 1-0.49
Probability of failure (q) = 0.51 = 51%
n = 14
P(X = x) = (n!)/[(n-x)!x!] × p^x × q^(n-x)
Probability of fewer than 4 = Pr(X <4)
Pr(X <4) = Pr(X = 0) + Pr(X = 1) +Pr(X = 2) +Pr(X = 3)
Find attached the workings
From the workings, Pr(X <4) = 0.0339295
Probability of fewer than 4 = 0.0339 (approximately)
