Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. f.) What is the expected number of songs that Taylor Swift will complain about a boy in? g.) How much are we “off” by when we use the expectation to estimate the number of songs Taylor Swift will complain about a boy in (hint: *square root of 1.9712* = 1.404)? h.) What is the probability that the number of songs Taylor Swift complains about a boy in is within 1 standard deviation of the mean (identify the interval we are interested in and then calculate the probability)? What does this imply about the shape of the distribution (hint: think Empirical Rule)?
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.
Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The
f.) What is the expected number of songs that Taylor Swift will complain about a boy in?
g.) How much are we “off” by when we use the expectation to estimate the number of songs Taylor Swift will complain about a boy in (hint: *square root of 1.9712* = 1.404)?
h.) What is the probability that the number of songs Taylor Swift complains about a boy in is within 1 standard deviation of the
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