Below is the amount of rainfall (in cm) every month for the last 3 years in a particular location:
130 172 142
150 144 117
165 182 104
120 190 99
170 205 110
80 196 127
120 175 119
145 180 132
177 138 141
152 144 162
165 174 166
160 170 159
Calculate the below:
(a) Mean and standard deviation of the above data?
(b) Assuming the above data is normally distributed, what is the probability that the rainfall of a randomly selected month would be between 130cm and 180cm?
(c) Assuming the above data is normally distributed, what is the probability that the rainfall of a randomly selected month would be either less than 125cm or greater than 180cm?