Question

e student is involved in. Complete parts (a) through in below in the following probability distribution, the random variable x represents the number of activities a parent of a th to th PIX) 0.057 0.288 0.213 0245 0.197 (c) Compute and interpret the mean of the random variable x. The mean is activities (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? OA The observed value of an experiment will be equal to the mean of the random vanable in most experiments OB. As the number of experiments decreases the mean of the observations will approach the mean of the random variable OC. The observed value of an experiment will be less than the mean of the random variatie in most experiments OD. As the number of experiments increases the mean of the observations wil approach the mean of the random variable (d) Compute the standard deviation of the random variable The standard deviation is activities (Round to one decimal place as needed.) (e) What is the probability that a randomly selected student has a parent involved in three activities? The probability is (Type an integer or a decimal Do not round.) ( What is the probability that a randomly selected student has a parent involved in three or four activities? The probability is (Type an integer or a decimal. Do not found)

Answer 1

X 0 I P(X) 0.057 0.288 0.213 0.245 0-197 EP(x) = f Txop(x) 0 10.288 T 0.426 10.735 10.788 Exop(x) = 2.237 I a compute the mean i mean (4) = 2XoP(x) = 2.237 v Which of of the the mean following interpretahon. is correct As the number of experiments increases the mean of the obs! will apprach the mean of the random variable v

d compute the standard deviation - standard deviation col = 1 Date : X 1,² |P(X) 10.057 I 0.288 0.213 0. 245 0.197 1 x op(x) o 0.288 0.852 2.205 30152 EX². p(x)=62497 4 116 standard euation = non = /[xpx) 112 = 16.497 - (2.237² 1.492831 = 1.221814634 ? 11.2 I (Round to one Jeemal) Ans: 112 ſ

P(x) @ calculate P(x=3) = x P(x) 3 10.245 - P(x=3 =10.245 - (f) calculate P(x=3 OR X =4) OR means add 1x LP(X) 1 13 1 0.245 O.197 P(x=3 OR X=4)=P(X=3) at P (X=4) = 0.245 tou197 10.442 v