The random-number generator on calculators randomly generates a number between 0
ID: 3170315 • Letter: T
Question
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. Draw the graph of the uniform density function. This will not be collected. What is the maximum height of this uniform probability distribution? Enter your answer as a number. Maximum height = _______________ What is the probability of generating a number between 0 and 0.2? P(0 lessthanorequalsto X lessthanorequalsto 0.2) = __________________ What is the probability of generating a number between 0.25 and 0.6? P(0.25 lessthanorequalsto X lessthanorequalsto 0.6) = _______________ What is the probability of generating a number greater than 0.95? P(X greaterthan 0.95) = ______________________Explanation / Answer
( a )
( b )
Maximum height = 1
( c ) 0.2 / ( 1 – 0 ) = 0.2
Answer: 0.2
( d )
P ( 0.25 <= X <= 0.6 ) = (0.6 – 0.25 ) / ( 1 -0 ) = 0.35 / 1 = 0.35
Answer: 0.35
( e )
P ( x >0.95 ) = (1-0.95) / ( 1-0) = 0.05 / 1 = 0.05
Answer: 0.05