Briefly discuss the binomial probability distribution. I A coin is flipped 12 times: what is the probability of getting: i. no heads; and ii. no more than 3 heads?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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she finds herself with only five ice-creams in stock, what are the probabilities
stion 1
A Briefly discuss the binomial probability distribution.
b) A coin is flipped 12 times: what is the probability of getting:
no heads; and
no more than 3 heads?
i.
ii.
Question 2
Over the past 10 years two golfers have had an ongoing battle as to who the
better golfer is. Curtley Weird has won 120 of their 200 matches, while Dave
Chilly has won 70 with 10 of them ending in ties. Because Dave is going
overseas they decide to play a tournament of five matches to establish once
and for all who the better player is. Find the probabilities that:
Dave wins at least three of the matches;
(a)
(b) Curtley wins no more than two games; and
all of the games end in a tie.
(c)
Question 3
(a)
Discuss probability, independence and mutual exclusivity, giving
examples to illustrate your answer.
(b)
How many ways are there of choosing a committee of three people from a
club of ten? How many ways are there of selecting from those three
people a president, secretary and treasurer? Illustrate your answer to the
second part of the question with a tree diagram.
Question 4
An ice-cream vendor on the beachfront knows from long experience that the
average rate of ice-cream sales is 12 per hour. If. with two hours to go at work,
that
(a)
she runs out before the end of the day;
(b) she sells exactly uı
Transcribed Image Text:she finds herself with only five ice-creams in stock, what are the probabilities stion 1 A Briefly discuss the binomial probability distribution. b) A coin is flipped 12 times: what is the probability of getting: no heads; and no more than 3 heads? i. ii. Question 2 Over the past 10 years two golfers have had an ongoing battle as to who the better golfer is. Curtley Weird has won 120 of their 200 matches, while Dave Chilly has won 70 with 10 of them ending in ties. Because Dave is going overseas they decide to play a tournament of five matches to establish once and for all who the better player is. Find the probabilities that: Dave wins at least three of the matches; (a) (b) Curtley wins no more than two games; and all of the games end in a tie. (c) Question 3 (a) Discuss probability, independence and mutual exclusivity, giving examples to illustrate your answer. (b) How many ways are there of choosing a committee of three people from a club of ten? How many ways are there of selecting from those three people a president, secretary and treasurer? Illustrate your answer to the second part of the question with a tree diagram. Question 4 An ice-cream vendor on the beachfront knows from long experience that the average rate of ice-cream sales is 12 per hour. If. with two hours to go at work, that (a) she runs out before the end of the day; (b) she sells exactly uı
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