5.7 A variable x of a finite population has the following frequency distribution:
X
1
2
3
f
6 8 6
Suppose a member is selected at random from the population and
let X denote the value of the variable x for the member obtained.
a. Determine the probability distribution of the random variable X.
b. Use random-variable notation to describe the events that X takes
on the value 2, a value of at most 2, and a value greater than 2.
c. Find P(X = 2), P(X < 2), and P(X > 2). Interpret your results.
d. Construct a probability histogram for the random variable X.
5,8 A variable y of a finite population has the following frequency
distribution:

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

Graph the system of equations. {6x−4y=−244x−8y=−32 use the line tool to graph the lines.

Find the value of x in the diagram below. select the best answer from the choices provided