Question

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.

PLSS HELP 100 POINTS AND BRAINLIEST FOR RIGHT ANSWER!!!!!

Answer 1

Answer: There will be close to 40's TVs but probably not exactly 40's TVs not showing a sports channel.

Step-by-step explanation:

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Answer 2

Answer:

• Option B. There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.

Explanation:

There are a total of 7 sports channels and 4 non-sports channels out of 11 channels.

The probability that one TV will be not be showing a sports channel, P(not S), is:

• P(not S) = number of non-sports channels / number of channels.

• P(not S) = 4/11.

The best prediction on how many TVs will not be showing a sports channel is, the expected value, which is equal to the number of TVs mulitplied by P(not S):

• P(not S) = 110 × 4/11 = 40.

Since this is a random variable, the expected value is not the exact number of TV but just a probability.

Hence, the answer is the option B: There will be close to 40 TVs but probably not exactly 40 TVs not showing a sports channel.