Answer:
The shape and rate parameters are and .
Step-by-step explanation:
Let <em>X</em> = service time for each individual.
The average service time is, <em>β</em> = 12 minutes.
The random variable follows an Exponential distribution with parameter, .
The service time for the next 3 customers is,
<em>Z</em> = <em>X</em>₁ + <em>X</em>₂ + <em>X</em>₃
All the <em>X</em>'s are independent Exponential random variable.
The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.
The random variable <em>Z</em> follows a Gamma distribution with parameters (<em>α</em>, <em>n</em>).
The parameters are:
Thus, the shape and rate parameters are and .
Answer:
You need to find the GCD (or HCF) of numerator and denominator
GCD of 41 and 95 is 1
Divide both the numerator and denominator by the GCD
41 ÷ 1
----------
95 ÷ 1
Reduced Fraction: 41
------
95
41/95 is already in its lowest terms.
{1,5,6} this is your answer
Answer: This is what Khan Academy said the answer was