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Is the number of heads in 100 tosses of a coin a discrete or a continuous random variable?

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Jesús
JesúsLv7
17 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

A hat contains 100 coins, where 99 are fair but one is double-headed (always landing
Heads). A coin is chosen uniformly at random. The chosen coin is flipped 7 times, and it
lands Heads all 7 times. Given this information, what is the probability that the chosen
coin is double-headed?

A coin is flipped 10 times where each flip comes up either heads or tails. How many possible outcomes:

a) are there in total? 

b) contain exactly two heads?

c) contain at most three tails?

d) contain the same number of heads and tails?

Consider two independent random variables X1 ∼ U(0, 7), X2 ∼ U(0, 1). For the random variables Y = X1 + X2:

• What is the support of the distribution? Is the distribution continuous, discrete or mixed?

• Draw the probability distribution function of the random variable? Justify your answer with either theoretically or logically.

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