Consider the distribution Ber(0.25). Consider the categorical statistical model({1,..., ax},{Pp}) for this Bernoulli distribution If we let Q1 = 1 and ag -0, then this corresponds to a categorical distribution P, with parameter vector p given by:

Astudent survey asked: "how tall are you (in inches)? " here's the data: 67, 72, 73, 60, 65, 86, 72, 69, 74 give the five number summary. a. median: 73, mean: 70.89, iqr: 5, min: 60, max: 74 b. 60, 66, 72, 73.5, 86 c. 60, 67, 72, 73, 74 d. 0, 60, 70, 89, 74, 100

What is the effect on the graph of the function f(x)=x when f(x) is replaced with -f(x)+4

Create a question with this scenario you could ask that could be answered only by graphing or using logarithm. david estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x.