electronics unlimited sells tvs. there are 110 tvs on display in the showroom, and each tv is turned on to a…
electronics unlimited sells tvs. there are 110 tvs on display in the showroom, and each tv is turned on to a random channel from a set of 11 channels: 7 sports channels, 3 news channels, and 1 movie channel. which statement best predicts how many tvs will not be showing a sports channel? choose 1 answer: a there will be exactly 40 tvs not showing a sports channel. b there will be close to 40 tvs but probably not exactly 40 tvs not showing a sports channel. c there will be exactly 70 tvs not showing a sports channel. d there will be close to 70 tvs but probably not exactly 70 tvs not showing a sports channel.
Answer
Explanation:
Step1: Calculate non - sports channels proportion
The total number of channels is 11. The number of non - sports channels is (3 + 1=4). So the proportion of non - sports channels is (\frac{4}{11}).
Step2: Predict number of non - sports TVs
There are 110 TVs in total. Multiply the total number of TVs by the proportion of non - sports channels: (110\times\frac{4}{11}=40). But since it's a probability situation (random channel selection), we expect to be close to 40 but not exactly 40.
Answer:
B. There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.