Answer:
The expected value is equal to 0.176
Explanation:
mean = 36
rate per day = 48
P(x; 48)= e⁻⁴⁸( 48)³⁶/36!
E(X)= 1.425 e⁻²¹ 3.347 e⁶⁰/3.72e⁴¹
E(X)= 1.425 *3.347*e⁻²/3.72
E(X)= 1.3e⁻²= 0.1759= 0.176
The probability that an event occurs in a very short time interval is proportional to the length of the interval which is a positive quantity and may be interpreted as the average number of occurrences per unit of time.
The probability that two or more events occur in such a short interval is so small that it can be neglected.
events occurring in non overlapping intervals of time are statistically independent .
