The time a customer spends using a service is distributed with pdf f(x) = λ kx k−1 e −λx (k − 1)! , x ≥ 0. in the pdf there are two parameters: k and λ. you can assume (if you need to) that k is an integer larger than or equal to 1 (k = 1, 2, . and λ is a real, non-negative number (λ ≥ 0). you have been observing a process that is supposed to follow this distribution and have seen 10 customers enter and exit the service: they spend time using the service (in minutes) equal to: 3, 3.3, 13.6, 7.6, 5.4, 7.9, 11.5, 5.4, 13.4, 8.9. answer the following questions.

(a) use the method of moments to estimate k and λ.

(b) find a maximum likelihood estimator for k and λ. [hint: find two derivatives, one for each of the parameters.]

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

96 39 cause 135 -96=39 im smart (i used a calculater)