A two-server queueing system is in a steady-state condition and the steadystate probabilities are P0 =1/16 , P1 =1/4, P2 =3/8, P3 =1/4, P4 =1/16 , and Pn = 0
if n > 4. The mean arrival rates are λ0 = 8, λ1 = 4, λ2 = 2, λ3 = 1, and
λn = 0 if n > 3. Find
(i) the expected number of customers in the queue,
(ii) the expected number of customers being served,
(iii) the expected waiting time in the queue per customer, and
(iv) the expected service time per customer.

Which inequality is equivalent to -3x < -12? x < 4 , x < -4 , x > 4, x > -4

Which of the following would be a correct step in proving that triangle abc is congruent to triangle cda? a. use a protractor to measure the angles and show that all the corresponding angles are equal in measure. this will allow you to prove congruence by aaa. b. show that segment ab is parallel to segment cd and segment ad is parallel to segment cb. this will allow you to prove congruency by asa. c. show that is segment ab is perpendicular to segment ad. this will allow you to prove congruence by sas. d. none of the above.

Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.