Question

Asked Oct 17, 2019

Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a Uniform Distribution from 1 – 53 (spread of 52 weeks). Round all answers to two decimal places.

D. The probability that a person will be born between weeks 5 and 18 is P(5 < x < 18) = [ Select ] ["0.33", "0.04", "0.25", "0.08"]

E. The probability that a person will be born after week 30 is P(x > 30) = [ Select ] ["0.58", "0.56", "0.44", "0.02"]

F. P(x > 17 | x < 21) = [ Select ] ["0", "0.40", "0.69", "0.20"]

G. Find the 40^{th} percentile. [ Select ] ["21.8", "20.00", "18.9", "0.75"]

H. Find the minimum for the upper quartile.

Step 1

Hello! As you have posted 5 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately.

Step 2

D.

The probability that a person will be born between weeks 5 and 18 is ** 0.25** and it is calculated below:

From the given information, Births are uniformly distributed between 52 weeks. That is, the random variable *X* as the births follows Uniform distribution [1, 53].

Step 3

E.

The probability that a person will be born after week 30 is **...**

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