Let r=0.62, c=2.2 and m=1.2. Suppose that UC and UM are independent. What is the standard deviation of the point spread in the UBC game? Enter "999" if there is insufficient information to answer.

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BlackTom AI · Accepted Answer

We start by restating what is given and what is being asked, to ensure no detail is overlooked.
The problem provides r = 0.62, c = 2.2, m = 1.2, and states UC and UM are independent. The task is to find the standard deviation of the point spread in the UBC game, with instruction to enter 999 if there is insufficient information.
Now, observe that there are no answer choices provided to compare, and the question mentions UC and UM without defining what these variables represent in terms of distributions, variances, or how they contribute to the point spread.
To compute a standard deviation, one typically needs information about the underlying random variables: their means, variances, and how they combine (e.g., via sums, differences, or other transformations). Independence helps in combining variances when adding random quantities (the total variance is the sum of variances if the quantities are independent), but without explicit definitions of UC and UM, or explicit expressions linking r, c, m to the spread, we cannot determine the resulting variance or standard deviation.
What would be needed for a definite calculation includes: the precise definitions of UC and UM (are they random variables representing components of the spread?), their distributions (are UC and UM normal, binomial, etc.?), and a formula showing how the point spread depends on UC, UM, r, c, and m. If such a formula were provided, and if we also had Var(UC) and Var(UM) (and their independence), we could combine them to get Var(total) and thus SD(total).
In the absence of those definitions and the explicit formula, we do not have enough information to compute the standard deviation. This aligns with the instruction to output 999 when information is insufficient, since the problem cannot be solved as stated with the data given.
Therefore, given the missing definitions and relationships, the correct course of action is to flag insufficient information, which corresponds to entering 999 per the problem's rule.

COMM_V 190 101-104 2025W1 Final Exam - Practice Questions - Second Half

Let r=0.62, c=2.2 and m=1.2. Suppose that UC and UM are independent. What is the standard deviation of the point spread in the UBC game? Enter "999" if there is insufficient information to answer.

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