Let X be the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is (x; theta) = (1 + theta)x , 0 ≤ x ≤ 1 for θ > −1. A random sample of 10 students yields data: x1 = 0.92, x2 = 0.79, x3 = 0.90, x4 = 0.65, x5 = 0.86, x6 = 0.47, x7 = 0.73, x8 = 0.97, x9 = 0.94, x10 = 0.77. (a) Use the MOM to obtain an estimator of θ; compute an estimate for the given data. (b) Obtain the MLE of θ and then compute an estimate for the given data

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.