Select 3 integers from {1,2,3,..., 49, 50} without replacement. Let X be the number of integers less than or equal to 15 in the selection. How is X distributed? ) Select 3 integers from {1,2,3,..., 49, 50} with replacement. Let X be the number of integers less than or equal to 15 in the selection. How is X distributed? ) The moment generating function for W is M(t) = How is W distributed? = (.7e¹) 10 [1 - .3et] ¹⁰

MATLAB: An Introduction with Applications
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a.) Select 3 integers from {1, 2, 3, ..., 49, 50} without replacement. Let X be the number of
integers less than or equal to 15 in the selection. How is X distributed?
b.) Select 3 integers from {1,2,3,..., 49, 50} with replacement. Let X be the number of
integers less than or equal to 15 in the selection. How is X distributed?
c.) The moment generating function for W is
How is W distributed?
M(t) =
under central limit theorem?
d.) Let X₁,..., X50 be a random sample of independent Poisson distributions with λ = 2.
What is the exact distribution of
G =
=
G =
(.7et) 10
[1.3et] 10
=
e.) Let X₁,..., X50 be a random sample of independent Poisson distributions with λ = 2.
What is the approximate distribution of
X₁ +
+ X50
50
X₁ +
+ X50
50
Transcribed Image Text:a.) Select 3 integers from {1, 2, 3, ..., 49, 50} without replacement. Let X be the number of integers less than or equal to 15 in the selection. How is X distributed? b.) Select 3 integers from {1,2,3,..., 49, 50} with replacement. Let X be the number of integers less than or equal to 15 in the selection. How is X distributed? c.) The moment generating function for W is How is W distributed? M(t) = under central limit theorem? d.) Let X₁,..., X50 be a random sample of independent Poisson distributions with λ = 2. What is the exact distribution of G = = G = (.7et) 10 [1.3et] 10 = e.) Let X₁,..., X50 be a random sample of independent Poisson distributions with λ = 2. What is the approximate distribution of X₁ + + X50 50 X₁ + + X50 50
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