Let x have pmf p(x = k) = cpk k fork = 1, 2, . . where p is a parameter with 0 < p < 1 and c is a normalizing constant. we have c = −1/ log(1 − p), as seen from the taylor series − log(1 − p) = p + p2/2 + p3/3 + this distribution is called the logarithmic distribution (because of the log in the above taylor series), and has often been used in ecology.

(a) show that the pmf is a valid pmf.

(b) find the mean and variance of x.

The data in the table represent the height of an object over time. which model best represents the data? height of an object time (seconds) height (feet) 05 1 50 2 70 3 48 quadratic, because the height of the object increases or decreases with a multiplicative rate of change quadratic, because the height increases and then decreases exponential, because the height of the object increases or decreases with a multiplicative rate of change exponential, because the height increases and then decreases

How many grams the dog will eat in 3 days?

Question 13 (1 point) jerome is starting a new job. his contract states he will earn $42,000 the first year, and will get a 4% raise per year. which function s(x) represents jerome's salary after a certain number of years, x?