Many thanks, PLEASE SHOW YOUR WORK NAME .Total score 1. (5 points) Only one of t

Question

Many thanks, PLEASE SHOW YOUR WORK NAME .Total score 1. (5 points) Only one of three distributions below is legitimate P 024 -0.1 0.3 035 021 P 0.21 003 0.27 03 9 P 21 00S 0.27 0.3 0.19 For the legitimate distribution find P(x0) 2. (12 points) Estimate probabilities without actually calculating them. Next to each problem sketch a graph and specify if probability is close to 0, close to 1, certainly less than 0.5, or certainly greater than 0.5 (a) P(X 2 1) for XN(12,2) (b) P(X 2 3.5) for X~N(O, 1) (c) (a) P(X S145) for X~N(120,21) (d) (a) P(x2 39) for XN33, 5) GO TO THE NEXT PAGE 3. (10 points) You want to estimate the mean amount of time Internet users spend on Facebook each month. How many Internet users must be surveyed in order to be 95% confident that your sample mean is within 15 minues of the population mean? based on results froan a prion Nielsen survey, assume that the standard deviation of the population of monthly times spent

Explanation / Answer

1) we need to tell the which probability distribution is correct among the three

now we have 3 distribution

1st one is wrong because the probability can never be in negative and in this the probability of x = 0 the probability is in negative

3rd one is also wrong as the sum of all the probabilities for all x shoulf be always equal to 1 and in this the condition iis not fulfilled as the sum is more then 1

the correct among the 3 is distribution 2nd which full fill all the criteria of probability distribution

also we need to find p(x>0) = p(1)+p(2)+p(6) = 0.27+0.3+0.19 = 0.76

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