Question

1.   Suppose you flip a fair coin four time. (A) What is the probability you will get all four heads? (B) All four tails? (C) Either all four heads or four tails? (D) Anything but four heads or four tails?

please show All calculations specific in excel or word, thanks

Answer 1

Let X denotes number of heads in four flips of a coin.

X ~ Binomial(n = 4, p = 0.5)

The probability mass function of X is

a) The probability one will get all four heads

b) The probability one will get all four tails

c) The probability that either all four heads or four tails

d) The probability that anything but four heads or four tails