Two tetrahedral dice, each with faces labelled 1, 2, 3and 4, are thrown and the random variable X represents the sumof 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 81P(X)243116 16 1616161616(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 anodd number?(b)(c) Find the mean of the probability distribution.(c)

Name: Two tetrahedral dice, each with faces labelled 1, 2, 3and 4, are thro
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Description: Two tetrahedral dice, each with faces labelled 1, 2, 3and 4, are thrown and the random variable X represents the sumof 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 81P(X)243116 16 1

a) we know that total probability is equal to 1So , 116+216+316+416+316+216+116= 1616 = 1∴ ∑ P(x) =…

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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 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)

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)

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

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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