Page 2 3. Suppose you roll a fair die (a) The probability that you obtain an odd

Question

Page 2 3. Suppose you roll a fair die (a) The probability that you obtain an odd number of dots is in the correct value.] (b) Suppose you ro the die seven times. The probability that you obtain an odd number of dots on exactly three of the seven rolls can be computed using the following formula: Write the theoretical formula in the space provided (c) The probability that you obtain an odd number of dots on exactly three of the seven rolls is Write in the correct value.] (d) Suppose you roll a fair die n times. True or false: the probability of observing an even number of dots on exactly three of the n rolls and the probability of observing an odd number of dots on three of the n rolls are identical. true false [Check the correct bor.

Explanation / Answer

a) p = 1/2 = 0.5
b) P(X = k) = nCk p^k *(1-p)^(n-k)
here n = 7 , k = 3 , p = 0.5

c)
P(X = 3) = 0.2734375

d)true

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