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Probability And Statistical Inference 8th
Step 1 of 3
(a)
We need to describe the outcome space for the study, “A studentis selected at random from a statistics class, and the student’sACT score in mathematics is determined.”
Since ACT test scores in mathematics are integers between 1 and36, inclusive, and the student is selected at random, he can haveany of these integers as his score. So, the outcome space is
Step 2 of 3
(b)
We need to describe the outcome space for the study. “A candybar with a 20.4-gram label weight is selected at random from aproduction line and is weighed.”
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A candy bar has a 20.4-gram label weight, but its actual weightcan differ from this number, it is some random number, say,.
The distribution is continuous and very small and large weightsare unlikely. Then the sample space could be
Here is a known positive number.
Step 3 of 3
(c)
We need to describe the outcome space for the study, “A cointossed three times, and the sequence of heads and tails isobserved.”
The possible outcome of each toss is head (H) or tail (T). Thepossible outcome of three tosses is a sequence of heads (H) andtails (T). The sample space is the following