x = 0.25 then tell smallest value of x from the following 2¹/x

1 thought on “x = 0.25 then tell smallest value of x from the following 2¹/x”

1. Answer:

   P(X = 0) = 1

   16 , P(X = 1) = 4

   16 , P(X = 2) = 6

   16 , P(X = 3) = 4

   16 , P(X = 4) = 1

   16 (1)

   Notice that the denominators of the five fractions are the same and the numerators of the five

   fractions are 1, 4, 6, 4, 1. The numbers in the numerators is a set of binomial coefficients.

   1

   16 =

   4

   0

   1

   16, 4

   16 =

   4

   1

   1

   16, 6

   16 =

   4

   2

   1

   16, 4

   16 =

   4

   3

   1

   16, 1

   16 =

   4

   4

   1

   16

   We can then write the probability mass function as

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