An assembling organization utilizes two gadgets to assess yield for quality control purposes. The primary gadget can precisely recognize 99.3% of the imperfect things it gets, while the second can do as such in 99.7% of the cases. Expect that four imperfect things are delivered and conveyed for assessment. Allow X and Y to indicate the quantity of things that will be recognized as damaged by assessing gadgets 1 and 2, separately. Accept that the gadgets are free.

a)Determine fxy(X=4,Y=3).

b)Determine fxy(X=3,Y=4).

a)Determine fxy(X=4,Y=3).

b)Determine fxy(X=3,Y=4).

From 3:00 P.M. to 8:00 P.M. the neighborhood K-Star Supermarket has a constant flow of clients. Clients

complete the process of shopping and show up at the checkout region at a pace of 70 every hour (Poisson distributed).It is expected that when clients show up at the sales registers, they will separate themselves moderately

equitably with the goal that all the checkout lines contain an equivalent number. The normal checkout time at a register

is 7 minutes (dramatically conveyed). The head supervisor's administration objective is for clients to

(overall) after they complete their shopping and show up at

a sales register. The number of sales registers must the store have open to accomplish the administrator's administration

objective?

Assume you are permitted to flip a coin until the main head shows up. Leave X alone the all out number of flips required. You will win 2X dollars at the event of the main head.

What is the likelihood work for X?

+2+

What is the generally anticipated worth of your rewards?

In the event that the sum you pay to play a game is equivalent to the sum you hope to win, the game is called reasonable. What amount would it be advisable for you to pay to play this game to make it reasonable?

(Fundamental Decision Theory - simply sort out which decision costs more all things considered) The meteorological forecast says that there is a 30% possibility it will rain earlier today. In the event that you take your umbrella, which cost $25,and it doesn't rain, there is a 20% possibility that you will lose it some place. In the event that you don't take your umbrella, and it downpours, you will show up at class clammy and malodorous, which you would pay $10 to keep away from. Would it be a good idea for you to take your umbrella?..

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