According to a global survey of 4,400 parents of children between the ages of 14 to 17, 44% of parents spy on their teen’s Facebook account (www.msnbc.com, April 25, 2012). Assume that American parents account for 10% of all parents of teens with Facebook accounts, of which 60% spy on their teen’s Facebook account. Suppose a parent is randomly selected, and the following events are defined: A = selecting an American parent and B = selecting a spying parent.
Based on the above information, what are the probabilities that can be established?
Are events A and B mutually exclusive and/or exhaustive? Explain
Are events A and B independent? Explain
what is the probability of selecting an American parent given that she/he is spying?
Answers
Answer:
According to a global survey of 4,400 parents of children between the ages of 14 to 17, 44% of parents spy on their teen’s Facebook account (http://msnbc.com, April 25, 2012). Assume that American parents account for 10% of all parents of teens with Facebook accounts, of which 60% spy on their teen’s Facebook account. Suppose a parent is randomly selected, and the following events are defined: A = selecting an American parent and B = selecting a spying parent.
Answer:
Event A and B are not mutually Exclusive
Event A and B are not Exhaustive.
Probability of selecting an American Parent when it is known he/she is spying is =.
Explanation:
What is probability ?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. One is the probability of every event in a sample space.
When we flip a coin, there are only two potential results: Head OR Tail (H, T). However, if two coins are tossed, there are four outcomes that might occur: (H, H), (H, T), (T, H), and (T, T).
Total number of parents = 4400
Total number of parents who spys (B) = 44% of 4400 = 1936.
Total number of American parents (A) = 10 % 4400 = 440.
Total number of American Parents who Spy's = 60 % 440 = 264.
The Events A and B are not Mutually Exclusive events because The two sets they create are not disjoint as An American Can also Spy on his/her childern.
The events A and B are not Exhaustive events too since it is not necessary that from a set of 4400 parents if we pick 1 parent he/she will follow event A or B.
Probability of selecting an American Parent when it is known he/she is spying is = =
=
To learn more about probability refer to:
https://brainly.in/question/4398274?referrer=searchResults
https://brainly.in/question/2294047?referrer=searchResults
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