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-Dominant- [34]
3 years ago
7

Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6

inches. (a) what is the probability that a randomly chosen 10 year old is shorter than 48 inches? (please round to four decimal places)
Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0
Given:
μ = 55 in, population mean
σ = 6 in, population standard deviation

Part (a)
x = 48 in, the random variable
Calculate the z-score.
z = (x - μ)/σ
   = (48 - 55)/6
   = -1.667
From standard table, obtain
P(X < 48) = 0.12167 

Answer: 0.1217  (tyo 4 dec.places)

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The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.

Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:

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