Suppose that Fred, a United States politician from a large western state, wants to create a new law that would require children under the age of 16 to be accompanied by an adult at all times in public places. Based on previous voting records, Fred believes that he could gain the support of 25 % of likely voters. To test his hypothesis, Fred conducts a random survey of 1200 likely voters and asks if they would support his proposition. Let X denote the number of likely voters in Fred's sample that pledges their support, assuming that Fred's belief that 25% of likely voters would support his proposal.
Which of the following statements are true about the sampling distribution of X?
a. The sampling distribution of X is approximately normal with μ=300 and σ=15.
b. The sampling distribution of X is exactly normal with μ=0.5 and σ=0.0125.
c. The sampling distribution of X is exactly binomial with n=1200 and p=0.25.
d. The sampling distribution of X is exactly normal with μ=300 and σ=15.
e. The sampling distribution of X is approximately normal with μ=0.5 and σ=0.0125.
f. The sampling distribution of X is approximately binomial with n=1200 and p=0.25.

109 trust me

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be