Find each: Ptgroen and Airt) Plbluc. green, pants or hal). P(hat \'Mue). Are eve

Question

Find each: Ptgroen and Airt) Plbluc. green, pants or hal). P(hat 'Mue). Are events green and shirt independent or dependent? Explain. Find probability of selecting a hat or a non-Mue item. do each: are the event and green mutually exclusive or not? Explain. Find the probability of selecting two pants with replacement? Find the probability of selecting two blue items without replacement? Find the probability of selecting two green and two blue with replacement PART TWO. Use the Poisson Distribution. I he mean number of rabbits per acre in a field is Find each: Find P(0), P(l). J*(2), P(3) Fiol probability of at least 2 accidents. Find the probability of at most 3 accidents.

Explanation / Answer

5)

a) Sum of 5:

Possibilities : (1,1,1,2) , (1,1,2,1) , (1,2,1,1) , (2,1,1,1)

P(Sum of 5) = 4 / (5)^4 = 0.0064 Answer

b) Sum of 6:

Possibilities :

(1,1,2,2) -> 4!/(2!*2!) =6

(1,1,1,3)-> 4

P(Sum of 6) = 10 / (5)^4 = 0.016 Answer

c) Sum of 7:

Possibilities :

(1,2,2,2) -> 4!/(3!) =4

(1,1,2,3)-> 4!/2! = 12

(1,1,1,4)-> 4

P(Sum of 7) = 20 / (5)^4 = 0.032 Answer

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