Language: R5RS Racket

1. Create a procedure (list->stream lis) that makes a stream from a given list.
2. Create a procedure (stream->list strm n) that makes a list from the first n items of the given stream.
3. Create a stream called factorials that refers to the infinite stream of consecutive factorial values starting from 0! E.g. (stream-> list factorials 10) (1 1 2 6 24 120 720 5040 40320 362880)
4. A pseudo-random number generator (prng) can be defined using the following equation:
   1. X_n+1 = (a*X_n + c) mod m

where m is the "modulus" (00 is the "seed" (0 X₀ < m) Using this formula, create a procedure called (prng seed) that takes a seed value as argument and produces an infinite stream of random numbers in the range [0,1). E.g.:

(stream->list (prng 3) 5) (0.01585 0.4954 0.9988 0.7253 0.0307)

Use the following values for the prng constants: m = 2³² a = 22695477 c = 1.0 Note: the equation above returns numbers in the range [0,m-1], you should ensure that your stream emits only numbers in the range [0,1)

5. Create a procedure (random-int r min max) that takes a stream of random numbers r in the range [0,1) and returns a stream of random integers in the range [min,max).