Melissa is considering job offers from two companies. Company A offered her a starting salary of $54,000 with a $2100 raise at the end of each year. Company B offered her a starting salary of $54,000 with a 3.5% raise at the end of each year. Let f(t) represent Melissa's salary at Company A t years after accepting a position at Company A, and let g(t) represent Melissa's salary at Company B t years after accepting a position at Company B. Complete the table of values below. t f(t) g(t) 54000 54000 1 56,100 55,890 2 58,200 57780 3 60,300 59,670 a. Write the function formula for f. f(t) = 54000+(2100 * b. Write the function formula for g. g(t) = 54000(.035)' *
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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