QUESTION IMAGE
Question
homes using television (hut) at a particular time is one measure of viewing activity within the television audience in the united states of america. when multiplied with share, it creates rating. share is based on percentage of televisions viewing a particular program of all televisions in use during a particular period. rating, then, is a numerical representation of the percentage of available television - owning households during a particular time period who are viewing a specific program. the relationship is set up formulaically here to solve for rating. rating = share × hut. however, these values can be viewed as probabilities as well. a probability is basically a percentage likelihood expressed as a decimal. the rating for a specific program during a one - hour period is 1.18 while the hut for the same period is 74.02. calculate the share as a probability for a randomly selected household from those with televisions turned on to be one tuned to the specific program at the specified time. round to the nearest hundredth.
Step1: Rearrange the formula
Given $Rating = Share\times HUT$, we can solve for $Share$ as $Share=\frac{Rating}{HUT}$.
Step2: Substitute the values
Substitute $Rating = 1.18$ and $HUT = 74.02$ into the formula: $Share=\frac{1.18}{74.02}$.
Step3: Calculate the result
$Share=\frac{1.18}{74.02}\approx0.02$
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$0.02$