Suppose that there are three coins on a box. Two of the coins are normal (one side is heads, the other is tails). The third coin has two heads. You choose a coin at random from the bag and toss it four times. Each of the four times, the coin turns up heads. a. What is the probability that the coin you have chosen is the two-headed coin? b. How many consecutive “heads” you must have to be at least 95% sure that the coin you have chosen is the coin with two “heads”?
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.
Suppose that there are three coins on a box. Two of the coins are normal (one side is heads, the other is tails). The third coin has two heads. You choose a coin at random from the bag and toss it four times. Each of the four times, the coin turns up heads.
a. What is the probability that the coin you have chosen is the two-headed coin?
b. How many consecutive “heads” you must have to be at least 95% sure that the coin you have chosen is the coin with two “heads”?
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