Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. [1] ii. What probability distribution do you think best describes the situation? Why? [5] iii. Calculate the probability that exactly 9 will buy the product. [2] iv. If 80 persons are introduced to the product, determine the number of persons who are expected to buy the product. [2] b) It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find the probability that i. Exactly 4 trains will pass in 30 minutes [2] ii. less than 2 trains will pass in an hour
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.
Market research has shown that 60% of persons who are introduced to a certain product actually buy the product. A random sample of 15 persons were introduced to the product. i. Define the variable of interest for this scenario. [1] ii. What
b) It is known that an average of 5 trains pass through Grand Central Terminal every 30 minutes. Find the probability that i. Exactly 4 trains will pass in 30 minutes [2] ii. less than 2 trains will pass in an hour
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