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leonid [27]
3 years ago
8

A number cube is rolled two times. What is the probability that the sum of two numbers will be 9?

Mathematics
1 answer:
harina [27]3 years ago
6 0
Total number of possible outcomes = 36
Total number of outcomes with sum 9 = 4
{3, 6} (4, 5) {5, 4} (6, 3}

P(Sum = 9) = 4/36 = 1/9

Answer: 1/9
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, <em>r</em> = 2.

The categories of weight in adulthood are:

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So, number of columns is, <em>c</em> = 3.

The distribution of the statistic \chi^{2} is chi-square with (<em>r </em>- 1)(<em>c </em>- 1) degrees of freedom, where <em>r</em> represents the number of rows in the two-way table and <em>c</em> represents the number of columns.

Compute the degrees of freedom as follows:

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It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the <em>p</em>-value of the test as follows:

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Decision rule:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

The significance level is, <em>α</em> = 0.05.

<em>p</em>-value = 0.00011 < <em>α</em> = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to <u>reject</u> the Null Hypothesis at p < 0.05."

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