Question

There is a list of 110 songs that are given to me by a potential friend....

There is a list of 110 songs that are given to me by a potential friend. She says that I should mark each song with whether I love it or not. Of these 110 songs, I mark 45 as "Love". Step 2 of 2: For the event discussed in the previous step, would it be unusual? Explain your reasoning.

Math   Statistics-And-Probability   
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Answer #1

Assumption: You are equally like to mark a song as 'love' and 'don't love'

That is, P(love), p = 0.5

Number of songs, n = 110

Mean number of songs you expect to love = np

= 110 x 0.5

= 55

Standard deviation of number of songs you love =

=

= 5.244

A value is considered usual if it is within 2 standard deviations of mean

Usual number of songs you love = 55 5.244

= 44.5 to 65.5

45 lies in the interval that is considered usual. Therefore, the event would not be considered unusual.

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