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strojnjashka [21]
3 years ago
15

A particular Spotify playlist contains 105 songs, of which 10 are by the Beatles. Suppose the shuffle feature is used to play th

e songs in random order. What is the probability that the first Beatles song heard is the fifth song played?
Mathematics
1 answer:
katovenus [111]3 years ago
8 0

Answer: The required probability is 0.3296.

Step-by-step explanation:

Since we have given that

Number of songs = 105

Number of songs are by the Beatles = 10

So, Number of songs are not by the Beatles = 105-10=95

So, the probability that the first Beatles song heard is the fifth song played is given by

\dfrac{^{95}C_4\times ^{10}C_1}{^{105}C_5}\\\\=0.3296

Hence, the required probability is 0.3296.

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3 years ago
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
klasskru [66]

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Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

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