3 A mixed congruential generator is used to simulate a uniform random variable, U, based on the following parameters: 4 5
c=431,
(the additive term)
x_(0)=300,
(the initial seed)
a=79
(the multiplicative factor) 6
m=2,047,
(the modulus) 7 The inverse transform method is used to compute the number of failures, F, before a success in a series of independent trials each with success probability
p=0.7
, low values of the uniform random numbers correspond to small numbers of failures. Evaluate F.

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3 A mixed congruential generator is used to simulate a uniform random variable, U, based on the following parameters: 4 5

c=431,

(the additive term)

x_(0)=300,

(the initial seed)

a=79

(the multiplicative factor) 6

m=2,047,

(the modulus) 7 The inverse transform method is used to compute the number of failures, F, before a success in a series of independent trials each with success probability

p=0.7

, low values of the uniform random numbers correspond to small numbers of failures. Evaluate F.

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