In activity 3 plss answer number 1 and 5 only....in letter A plss answer number 2 only and kindly read the directions/instructions plss thank you

What I Can Do Activity 3 A. Find the mean, variance, and standard deviation of the following probability distribution by completing the tables below. X P(X) X . P(X) X - H (X -1)2 (X - H)2 . P(X) 3 HINMININGIN 13 18 2 X P(X) X . P(X) X - H (X -1)2 (X -#) . P(X) 2 4 3 X P(X) X . P(X) X - H (X - 1)2 (X - #)' . P(X) 0.11 5 0.40 0.30 10 0.19 X P(X) X . P(X) X -H (X -14)2 (X - #)2 . P(X) DIN DINDI - DIP 5 11 25 28 X P(X) X . P(X) X - H (X -1)2 (X - #)2 . P(X) 5 0.05 10 0.34 15 0.26 20 0.25 25 0.10 A. Solve the following problems. 1. The probabilities of a number of students to come late in a class are shown in the table below. Find the average number of students to come late daily in this class. Number of students (X) 0 1 2 3 4 5 Probability P(X) 0.40 0.22 0.15 0.10 0.08 0.05 2. A police lieutenant records the number of police blotter filed each day in their city. Based on his records, the probability distribution of the number of police blotters filed each day is in the table below. The city mayor claims that the crime rate is in its all-time low with only 2 blotters being filed each day. Determine the mean of the probability distribution shown and decide if the mayor's claim is valid. Number of students (X) 0 2 3 4 Probability P(X) 0.33 0.13 0.23 0.15 0.16