ADetermine the Value of the Constant K So That the Function

question 168

Essay

a.Determine the value of the constant k so that the function is a probability density function on the interval . __________
b.If x is a continuous random variable with the probability density function given in part (a), find the probability that x will assume a value greater than 1.
Round your answer to four decimal places.

---

Definitions:

Type-II Survivorship

A survivorship curve in which individuals are equally likely to die at any age, representing a relatively constant mortality rate throughout the organism's life.

Exponential Growth

Growth that occurs at a rate that becomes ever more rapid in proportion to the growing total number or size.

J Shape

Often refers to a type of curve, graph, or object shape that resembles the letter "J"; specific context can greatly influence its meaning.

Territoriality

A behavioral pattern among animals and humans involving the establishment and defense of a territory for living, feeding, or breeding.