Question

How do I work this out?

Answer 1

a. 0.41

b. 0.22

Explanation:

The sum of probabilities over all outcomes is 1. This fact can be used to fill the table. The other questions can be answered by reference to the table.

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1.

The total of all probabilities is 1:

k +0.23 +0.18 +0.26 +2k = 1

3k = 0.33 . . . . . . . collect terms, subtract 0.67

k = 0.11 . . . . . . . divide by 3

2k = 0.22 . . . . find 2k

Then the table is ...

`\begin{array}cccccn&1&2&3&4&5\\p(n)&0.11&0.23&0.18&0.26&0.22\end{array}`

a.

Landing on 2 or 3 are mutually exclusive outcomes, so the probability of one or the other is the sum of their individual probabilities:

p(2 or 3) = 0.23 +0.18

p(2 or 3) = 0.41

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b.

The table tells us ...

p(5) = 0.22