00:01
In the realm, the random variable x represents the number of emergency calls received by an operator.
00:07
Okay, and this follows a poison distribution with mean of three calls per hour, therefore lambda equal to 3.
00:15
Okay, then the probability mass function is p of x equal to x is e power minus lambda lambda x by x factorial, which is equal to e power minus 3, 3 power x divided by x factorial.
00:29
Where x takes the value 0 1 2 3 etc this is the first part the answer for the first part then come to the second part that is we have to find p of x equal to 0 which is e power minus 3 3 power 0 divided by 3 0 factorial which is equal to 0 .2 3 1 from this we can say that the operator does not receive any calls okay so probability of operator does not receive any calls during the tower equal to 0 .223 .1.
01:09
Okay, the next part is we have to find p of x greater than or equal to 1, which is 1 minus p of x less than 1, which is equal to 1 minus p of x equal to 0.
01:22
So which is equal to 1 minus p of x equal to 0 is p of x equal to 0 is p of x equal to 0 is 3, 3 power 0 .0 .0 factorial which is 0 .098.
01:36
So which is equal to 0 .9502...