A coin is tossed repeatedly up to three times until a head appears. Even though a head might not appear in the first three coins, the process ends with the third toss. (Probability distribution)
Answers
P(0) = 1/8 , p(1) = 3/8 , P(2) = 3/8 , p(3) = 1/8 and Mean = 1.5
Step-by-step explanation:
Probability of Head = 1/2
Probability of not head = 1/2
in Three Tosses
Head Probability
0 ³C₀(1/2)⁰(1/2)³ = 1/8
1 ³C₁(1/2)¹(1/2)² = 3/8
2 ³C₂(1/2)²(1/2)¹ = 3/8
3 ³C₃(1/2)³(1/2)¹ = 1/8
Probability Distribution
P(0) = 1/8
p(1) = 3/8
P(2) = 3/8
p(3) = 1/8
Mean = 0 * 1/8 + 1 * 3/8 + 2 * 3/8 + 3*1/8
= 0 + 3/8 + 6/8 + 3/8
= 12/8
= 3/2
= 1.5
Learn More:
Find the probability distribution of the numbers obtained in throwing ...
https://brainly.in/question/13162018
A r.v. X has the given probability distribution, Find the value of k and ...
https://brainly.in/question/6536531
Out of 128 families with 4children each,how many expected to have least one boy and one girl about:(probability theoretical distribution)
https://brainly.in/question/12810151