A coin is rigged so that the probability of tossing a head is 0.41. The coin is tossed until the first time that a head turns up. Let T record the number of tosses/trials up to and including the first head. What is the probability distribution of T? Your answer should be a function of k. What is the probability that there are no heads in the first 3 tosses? P(T > 3) What is the probability that the first head is on the 8th toss? P(T = 8) = What is the probability that the first head is on the 8th toss given that there are no heads in the first 3 tosses? P(T = 8|T > 3) =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 14CR
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probability.

A coin is rigged so that the probability of tossing a head is 0.41.
The coin is tossed until the first time that a head turns up. Let T record the number of tosses/trials up to and
including the first head.
What is the probability distribution of T? Your answer should be a function of k.
Transcribed Image Text:A coin is rigged so that the probability of tossing a head is 0.41. The coin is tossed until the first time that a head turns up. Let T record the number of tosses/trials up to and including the first head. What is the probability distribution of T? Your answer should be a function of k.
What is the probability that there are no heads in the first 3 tosses?
P(T > 3)
What is the probability that the first head is on the 8th toss?
P(T = 8) =
What is the probability that the first head is on the 8th toss given that there are no heads in the first 3 tosses?
P(T = 8|T > 3)
=
Transcribed Image Text:What is the probability that there are no heads in the first 3 tosses? P(T > 3) What is the probability that the first head is on the 8th toss? P(T = 8) = What is the probability that the first head is on the 8th toss given that there are no heads in the first 3 tosses? P(T = 8|T > 3) =
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