te and prove (for the continuous case) the Neyman-Pearson lemma.

Let A = {x | x = 12k for somek E Z} Let B = x | x = 4k for some k e Z} { - Prove that A CB.

(b) Let J₁ 100] 0100 001 1000 and J₂ = Explain whether J₁ and J₂ are similar. t000] 010 0011 000 1

Please I need urgent help!

The scenario relates to a waiting line at the Dipping star at Six Flags. For the purposes of the next two questions, assume that the Wicked Twister, which was permanently closed in September 2021, has since relocated and re-opened at a different venue in California.   Suppose that a waiting line at the Dipping Star at Six Flags follows M/M/1 queue, with unlimited arrivals, and FIFO.  Assume that on a busy holiday, visitors to the Dipping Star purchase tickets in person every five minutes on average.  Also, assume that the employees at the ticket counters on average serve fifteen customers every hour.  What is the expected average time a customer waits in line before it is their turn to purchase tickets?  a. 2 minutes b. 3.3 minutes c. 8 minutes d. 16 minutes e. 26.6 minutes On average, how many customers are waiting in line? a. 1.5 b. 1.9 c. 3.2 d. 4.1 e. 3.25 students

To test this null hypothesis, we compute t using a special case of the formula. state the formula?