Suppose a simple random sample of size n = 200 is obtained from a population whose size is N- 15,000 and whose population proportion with a specified characteristic isip- Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. Choose the phrase that best describes the shape of the sampling distribution below. OA. Not normal because n≤0.05N and np(1-p)2 10. OB. Not normal because n≤0.05N and np(1-p) 10. OC. Approximately normal because n ≤0.05N and np(1-p) < 10. D. Approximately normal because n ≤0.05N and np(1-p) 2 10. Determine the mean of the sampling distribution of p HA=0.8 (Round to one decimal place as needed.). P Determine the standard deviation of the sampling distribution of p GA= 0.028284 (Round to six decimal places as needed.) D (b) What is the probability of obtaining x= 162 or more individuals with the characteristic? That is, what is P(p>0.81)? (Round to four decimal places as needed.) P(p20.81)- A

where is the answer for b.

Evaluate v-4 Enter DNE if not a real number.

Let AABC be a triangle. Fix the points X, Y, and Z on AB, AC, and BC, respectively (as in the figure) such that BX = - = CZ AY = 4. Assume that the area of AXYZ is one and calculate the area of AABC. ХА YC ZB