Suppose that your friend Kamala randomly chooses a number between 1 and 13 (including both 1 and 13) and decides to tell you that the number she is thinking of is odd. Given that the number is odd, calculate the conditional probabilities below: 1. What is the probability she is thinking of an even number? 2. What is the probability the number she is thinking of has a 1 in it? 3. What is the probability that the number she is thinking of is at least 5?
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.
Solution :
Sample space ( s ) = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 }
A : No. is odd
P (A) =
Let,
B : No. is even
B(s) = { 2, 4, 6, 8, 10, 12 }
C : No. has 1 in it
C (s) = { 1, 10, 11, 12, 13 }
D : No. is at least 5
D(s) = { 5, 6, 7, 8, 9, 10, 11, 12, 13 }
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