The probability of obtaining a head when a biased coin is tossed is p, where p < . An experiment consists of tossing the coin 20 times and recording the number of heads. In a large number of experiments the variance of the number of heads is found to be 4.2 a Estimate the value of p. b Hence estimate the probability that exactly 7 heads are recorded during a particular experiment. X is the random variable such that X ~ B(15, p) and Var(X) = 2.4. Find the two possible values of p.

The probability of obtaining a head when a biased coin is tossed is p, where p < . An experiment consists of tossing the coin 20 times and recording the number of heads. In a large number of experiments the variance of the number of heads is found to be 4.2 a Estimate the value of p. b Hence estimate the probability that exactly 7 heads are recorded during a particular experiment. X is the random variable such that X ~ B(15, p) and Var(X) = 2.4. Find the two possible values of p.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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