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.

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,

Step 2

The standard devi...

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