There is a loaded 4-sided dice i.e. the dice has 4 numbers on it and they don’t have equal probability of landing face up unlike a fair dice. 1 out of 4 times number 1 lands face up, 2 out of 4 times number 2 lands face up, 3 out of 16 times number 3 lands face up and with remaining probability number 4 lands face up. (Hint: You should not solve it the way I had solved a similar homework question for a fair dice because the probabilities of the numbers landing face up are different here.) a) If you roll two such dice simultaneously. What is the probability of
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
There is a loaded 4-sided dice i.e. the dice has 4 numbers on it and they don’t have equal
a) If you roll two such dice simultaneously. What is the probability of getting the sum of the two rolls as at most 3?
b) What is the
c) I want to rework the dice now by changing the probability of number 3 landing face up. Keeping the probabilities of numbers 1, 2 the same as those given in the question, what should I choose as the probability of number 3 landing face up so that the expected value of the number that lands face up is 2?
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