Question

Try to estimate the probability you'd turn on the radio and hear a song you were thinking about. In other words, estimate the probability of the combined event P(thinking of a song)P(turn on the radio and hear the song).
Take these factors into account:

The likelihood you'd hear the song during a randomly selected time of day (think about how frequently the song plays, at what times of day, and on what stations).
The likelihood your radio will be tuned to a station that plays the song.
The likelihood you'll be thinking of the song at a randomly selected time of day. (Remember that if the song gets a lot of airplay it's more likely that you'll be thinking of it.)

Required:
If the combined events were to occur once, would the probability present compelling evidence that the event wasn't merely a chance occurrence? What if it happened twice in one day?

Answer 1

Probabilities are used to determine the likelihood of events

The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

How to estimate the probability

To calculate the probability, we make use of the following representations:

• Event A represents the likelihood of thinking of a song
• Event B represents the likelihood of turning on the radio and hearing the song

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)

Assume that:

P(A) = 0.12 and P(B) = 0.47

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47

Evaluate the product

P(thinking of a song)P(turn on the radio and hear the song) = 0.0564

Approximate

P(thinking of a song)P(turn on the radio and hear the song) = 0.056

Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

Read more about probabilities at:

brainly.com/question/25870256