Question

A simple random sample of size n=81 is obtained from a population with p = 76 and a = 36 (a) Describe the sampling distribution of x. (b) What is P (>83)? (c) What is P (568) ? (d) What is P (70.6<x<83 2)? (a) Choose the correct description of the shape of the sampling distribution of x O A. The distribution is skewed right. B. The distribution is uniform O C. The distribution is approximately normal OD. The distribution is skewed left O E. The shape of the distribution is unknown

all parts please

Answer 1

Solution 0 Given meas : 76 standard deviaton 0:36 Random Sample 0:81 optionc : the distribution is appoarimate nooma 76 *W - U; u 92 - 36 5ol9 36 : . 4 9 (6) Pli>83) 1-P(x983) n-lly 83-76 !.

(6) م - 22 . - ( 2 ) : 1-P (24 / 25) . )-0, 2592 : 0040 / /4040 :(83 د ۶)P < > 83): 0, 40/ )م - (1 و 2)2 ( 68 - 76 2. My 365 - 9 (2-> 2)م 2 و0,022 P( 68) : 0,029

@) (2 33 > 70.6)م (0.6-76 83, 2.76 X-4 م : 36 2 343) 7, 2 < 2 < 4 3 ، 3، 34 کم و (و : 35 - ) (35 - > م- ( ۷%)P = < -/, 35 : 0,7647 - 0.0985 o, 3750 P[706 - 7 - 83, 2]: 0.9756 م