Lelie Skywalker is in the market for three new lightsabers. Yeda has a stash of

Question

Lelie Skywalker is in the market for three new lightsabers. Yeda has a stash of them, and in that steads, there are 5 blue lightsabers, 4 great lighsabers, 6 red lightsalers, and 3 white lightsabers, Luke only wants blue lightsabers, but yoda informed him as follows A choice you have not. Choose at random you must. "After each one chosen, Luke must keep it. How many possible ways can Luke chocae 3 lightsabers and get at least two that are blue? What is the probability the Luke gets 3 blue lightsabers? Identify the distribution of the number of lighsabers Luke get in his choceing of three he sure to identify all parameters of the distribution What is the expected number of blue lightsabers Lukes will ger?

Explanation / Answer

Question description is blurr. So iam not providing in detail

total number of items = 5 blue+ 4 green+6 red+3 white = 18

three items can be selected from 18 in 18C3 ways = 816

Probability at least two are blue = P(2 are blue) + P( all 3 are blue) = [(5C2)*(13C1)/(18C3) ] + [(5C3)/(18C3)]

=0.171569

b) Probablity three blue = (5C3)/(18C3)= 10/816 = 0.0123

c) No.of blue lights follows hyper geometric distribution . Here N =18; sample n=3; M= 5 ( total blue items)

x is no.of blue lights selected

d) expected number of blue will get = nM/N = 3*5/18 = 0.8333

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