Most computer languages include a function that can be used to generate random n

Question

Most computer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let x denote a random number generated using RAND, then x is a continuous random variable with the following probability density function.

When F(x)= 1 and 0 For 0less than or equal to x less then or equal to 1

Elsewhere

What is the probability of generating a random number between .25 and .75 (to 2 decimals)?

c. What is the probability of generating a random number with a value less than or equal to .30 (to 2 decimals)?

d. What is the probability of generating a random number with a value greater than .60 (to 2 decimals)?

Explanation / Answer

as it is uniform distribution

hence probability of generating a random number between .25 and .75 =(0.75-0.25)/1 =0.5

c) probability of generating a random number with a value less than or equal to .30 =(0.3-0)/1=0.3

d)probability of generating a random number with a value greater than .60=(1-0.60)/1=0.4

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