Two tetrahedral dice, each with faces labelled 1, 2, 3 and 4, are thrown and the random variable X represents the sum of the numbers shown on the dice. The table shows the probability for each possible sum of the numbers X: 2 3 5 6 78 1 Р(X) 16 2 3 4 3 2 1 16 16 16 16 16 16 (a) Is this a probability distribution? Explain briefly. (b) What is the probability that any throw of the dice results in a value of X which is an odd number? (b) (c) Find the mean of the probability distribution. 4)

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Two tetrahedral dice, each with faces labelled 1, 2, 3
and 4, are thrown and the random variable X represents the sum
of the numbers shown on the dice.
The table shows the probability for each possible sum of the numbers X:
2 3 4 5 6 7 8
1
P(X)
2
4
3
1
16 16 16
16
16
16
16
(a) Is this a probability distribution? Explain briefly.
(b) What is the probability that any throw of the dice results in a value of X which is an
odd number?
(b)
(c) Find the mean of the probability distribution.
(c)
Transcribed Image Text:Two tetrahedral dice, each with faces labelled 1, 2, 3 and 4, are thrown and the random variable X represents the sum of the numbers shown on the dice. The table shows the probability for each possible sum of the numbers X: 2 3 4 5 6 7 8 1 P(X) 2 4 3 1 16 16 16 16 16 16 16 (a) Is this a probability distribution? Explain briefly. (b) What is the probability that any throw of the dice results in a value of X which is an odd number? (b) (c) Find the mean of the probability distribution. (c)
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