Consider the following experiment: flip a coin four times. • List all the possible outcomes for the four coin-flips. • Let T be the number of tails. Determine the possible values of T. • Construct the probability mass function for T. • Represent T using a probability histogram.

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A: We know that  Formula used for variance.  Var(x) = E(x2) - [E(x)]2  

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Q: True or False? If event X is dependent on event Y, then P(X given Y) = Pann P(Y) True False

A: The given statement is TRUE .

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A: From the provided information, Sample size (n) = 25 Probability of defectives (p) = 0.12

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case yo...

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A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

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A: Given,  P(X=x)= x2/55  for x= 1,2,3,4,5 Then by substitution,  P(X=1)= 1/55 P(X=2)= 4/55 P(X=3)=9/55...

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A: Given that  n=1000, p=2%=0.02 , q=1-p=1-0.02=0.98 X~Binomial(n=1000,p=0.02) Find P(X>25)

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