(a) If X is binomially distrib

(a) If X is binomially distributed with 8 trials and aprobability of success equal to 1/3 at each attempt, what is theprobability of:

1. Exactly 4 success

2. At least 1 success

3. At most 3 successes

(b) Find the variance and standard deviation of X where: X = 2times the score shown on a dice.


a)For the first sum the pmf of binomial distribution is beingstated and putting all the values accordingly , the problem issolved. Please see the attached file i have mentioned all thesteps.

b)In this case we have taken that the dice is fair. and rest ismentioned thoroughly in the attachment below.

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