Chapter 5: Q 20. (page 247)
Determine.
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Explain the significance of binomial coefficients with respect to Bernoulli trials.
Which of the following numbers could not possibly be a probability? Justify your answer.
a. 5/6
b. 3.5
c. 0
Die and coin. Consider the following random experiment : First , roll a die and observe the number of dots facing up: then toss a coin the number of times that the die shows and observe the total number of heads. Thus , if the die shows three dots facing up and the coin (which is then tossed tree times) comes up heads exactly twice, then the outcome of the experiment can be represent as (3,2).
Part (a) Determine a sample space for this experiment.
Part (b) Determine the events that the total number of heads is even.
In each of Exercises 5.167-5.172, we have provided the number of trials and success probability for Bernoulli trials. LetX denote the total number of successes. Determine the required probabilities by using
(a) the binomial probability formula, Formula 5.4 on page 236. Round your probability answers to three decimal places.
(b) TableVII in AppendixA. Compare your answer here to that in part (a).
List the three requirements for repeated trials of an experiment to constitute Bernoulli trials.
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