Suppose that the function f is defined for all real numbers as follows. 1+x if x<1 9x-7 if x21 Graph the function f. Then determine whether or not the function is continuous. 12 Is the fu -12 -10 8 -2 10 12 10-

Q: Graph the function f(x)=2x-1₁ for -4 ≤ x ≤ 4 where x is a real number

A: The ceiling function is a function that gives a value to the closest integer greater than or equal…

Q: Which of the following is the domain of the function f(x) = /æ + 4? {x €R | x -4} {x €R |x > 4} {r…

A: Given: fx=x+4   As we know that; The function y=fx is defined when fx≥0.

Q: if -7sxs - 2 Complete the following for f(x) = x +2 if -2<xs3 (a) Determine the domain of f. (b)…

A: Domain  set of all input values where function defined

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's…

A:

Q: Suppose that the function f is defined, for all real numbers, as follows. 3x +1 if x<-2 f(x) = • x-3…

A: We have to draw the graph of f and determine whether f is continuous or not.

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!