Name the appropriate distribution for each random variable, write down the mean andstandard deviation for that random variable, and compute the requested probability.(a) Let X be the number of cars arriving at the tollbooth in a 10-minute period. The mean numberof cars in a 10-minute period is 4.2. Find the probability of at least 4 cars arriving in a 10-minuteperiod.(b) For a certain type of shingle, a crease created during production will render it unusable. Thecreasing of any shingle is independent from the creasing of any other shingle. Suppose 4% of suchshingles have a crease. A package of 20 shingles is inspected. Let Y be the number of creasedshingles in the group of 20. Find the probability that a batch contains at least two creasedshingles.
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.
Name the appropriate distribution for each random variable, write down the
standard deviation for that random variable, and compute the requested
(a) Let X be the number of cars arriving at the tollbooth in a 10-minute period. The mean number
of cars in a 10-minute period is 4.2. Find the probability of at least 4 cars arriving in a 10-minute
period.
(b) For a certain type of shingle, a crease created during production will render it unusable. The
creasing of any shingle is independent from the creasing of any other shingle. Suppose 4% of such
shingles have a crease. A package of 20 shingles is inspected. Let Y be the number of creased
shingles in the group of 20. Find the probability that a batch contains at least two creased
shingles.
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