In 2018 in Albany, the starting base pay for a police officer is bout $57,540 per year. However, there are several incentive pay opportunities. When an officer qualifies for several incentives, each one is calculated separately and then added together. The table below shows several possible incentives and the associated pay rate. Incentive Percent of Base Pay: Two-year degree: 3% 4-year degrees: 6% Intermediate Spanish: 3% Advanced Spanish: 5% Passing the Oregon Physical Abilities Test (ORPAT) in less than 5 min 30 seconds 2% a. How much more will a new police officer who can converse in Spanish at an intermediate level earn compared to an officer who is not bilingual? b. Suppose a new officer intends to work for 20 years. How much additional money could they earn by being bilingual at an intermediate level? (The answer you get here will be an underestimate because the base pay will probably increase every year.) c. Suppose that a new officer has a two-year degree, can converse in Spanish at an advanced level, and passes the ORPAT in less than 5 minutes and 30 seconds. How much will this officer earn in a year?
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.
In 2018 in Albany, the starting base pay for a police officer is bout $57,540 per year. However, there are several incentive pay opportunities. When an officer qualifies for several incentives, each one is calculated separately and then added together. The table below shows several possible incentives and the associated pay rate.
Incentive Percent of Base Pay:
Two-year degree: 3%
4-year degrees: 6%
Intermediate Spanish: 3%
Advanced Spanish: 5%
Passing the Oregon Physical Abilities Test (ORPAT) in less than 5 min 30 seconds 2%
a. How much more will a new police officer who can converse in Spanish at an intermediate level earn compared to an officer who is not bilingual?
b. Suppose a new officer intends to work for 20 years. How much additional money could they earn by being bilingual at an intermediate level? (The answer you get here will be an underestimate because the base pay will probably increase every year.)
c. Suppose that a new officer has a two-year degree, can converse in Spanish at an advanced level, and passes the ORPAT in less than 5 minutes and 30 seconds. How much will this officer earn in a year?
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