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Two coins are to be flipped. The first coin will land on
Chapter 4, Problem 25P(choose chapter or problem)
Problem 25P
Two coins are to be flipped. The first coin will land on heads with probability .6, the second with probability .7. Assume that the results of the flips are independent, and let X equal the total number of heads that result.
(a) Find P{X = 1}.
(b) Determine E[X]
Questions & Answers
QUESTION:
Problem 25P
Two coins are to be flipped. The first coin will land on heads with probability .6, the second with probability .7. Assume that the results of the flips are independent, and let X equal the total number of heads that result.
(a) Find P{X = 1}.
(b) Determine E[X]
ANSWER:
Solution:
Step 1 of 3:
Two coins are flipped.
The probability of first coin land on head = 0.60
The probability of second coin land on tails = 1 - The probability of first coin land on head
= 1 - 0.60
= 0.40
The probability of second coin land on head = 0.70
The probability of first coin land on tails = 1 - The probability of second coin land on head
= 1 - 0.70
= 0.30.