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A random number generator picks a number from 10 to 54 in a uniform manner. Round answers to 4 decimal places when possible.The mean of this distribution is The standard deviation is The probability that the number will be exactly 12 is P(x = 12) = The probability that the number will be between 19 and 49 is P(19 < x < 49) = The probability that the number will be larger than 33 is P(x > 33) = P(x > 21 | x < 37) = Find the 92nd percentile. Find the minimum for the lower quartile.

Question

A random number generator picks a number from 10 to 54 in a uniform manner. Round answers to 4 decimal places when possible.

The mean of this distribution is
The standard deviation is
The probability that the number will be exactly 12 is P(x = 12) =
The probability that the number will be between 19 and 49 is P(19 < x < 49) =
The probability that the number will be larger than 33 is P(x > 33) =
P(x > 21 | x < 37) =
Find the 92nd percentile.
Find the minimum for the lower quartile.

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Step 1

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Consider a random variable X which follows uniform distribution with parameters a and b equals to 10 and 54 respectively.

The mean of the distribution is,

Меaп 3
Meanab
1054
2
= 32
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Меaп 3 Meanab 1054 2 = 32

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Step 2

The standard devi...

S.Db-a
12
54 10
/12
12.7017
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S.Db-a 12 54 10 /12 12.7017

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