Lauren is running for president of the student government at UTD. The proportion of voters who favor Lauren is 0.8. A simple random sample of 100 voters is taken. What are the expected value, standard deviation, and shape of the sampling distribution of proportion (, respectively?

  The shape of this sampling distribution is approximately normal

Step-by-step explanation:

From the question we are told that

  The population proportion is

  The sample size is  n = 100

Generally the expected value of this sampling distribution is mathematically represented as

Generally the standard deviation of this sampling distribution is mathematically represented as

=>      

=>        

Generally given that the sample is  large (i.e  n  >  30 ) and the standard deviation is finite then the shape of this sampling distribution is approximately normal

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

won't that be plagrisim thought?

step-by-step explanation: