Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. Chen is going to listen to 360 songs.What is the best prediction for the number of times Chen will listen to a classical song?Choose 1 answer:(A) Exactly 90 times(B) Close to 90 times but probably not exactly 90 times(C) Exactly 160 times(D) Close to 160 times but probably not exactly 160 times
Q. Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs, 3 rock songs, and 2 rap songs on it. Chen is going to listen to 360 songs.What is the best prediction for the number of times Chen will listen to a classical song?Choose 1 answer:(A) Exactly 90 times(B) Close to 90 times but probably not exactly 90 times(C) Exactly 160 times(D) Close to 160 times but probably not exactly 160 times
Calculate Total Number of Songs: Calculate the total number of songs on Chen's Jumble.Total number of songs =Number of classical songs+Number of rock songs+Number of rap songsTotal number of songs =4+3+2Total number of songs =9
Calculate Probability of Selecting: Calculate the probability of selecting a classical song. Probability of selecting a classical song = Total number of songsNumber of classical songs Probability of selecting a classical song = 94
Predict Number of Times: Predict the number of times Chen will listen to a classical song.Expected number of times listening to a classical song = Probability of selecting a classical song ∗ Total number of songs listened toExpected number of times listening to a classical song =(94)×360
Perform Calculation: Perform the calculation to find the expected number of times.Expected number of times listening to a classical song = (94)×360Expected number of times listening to a classical song = 4×40Expected number of times listening to a classical song = 160
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