3) Karla has a vast library of over 8,000 songs loaded onto her computer. The mean song length is 210 seconds, and the s

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3 Karla Has A Vast Library Of Over 8 000 Songs Loaded Onto Her Computer The Mean Song Length Is 210 Seconds And The S 1 (52.09 KiB) Viewed 73 times

3) Karla has a vast library of over 8,000 songs loaded onto her computer. The mean song length is 210 seconds, and the standard deviation is 48 seconds. Her computer has an option to send 50 random songs from her computer to a playlist on her phone. a) Describe the sampling distribution of the sample mean song lengths for random samples of 50 songs sent to Karla's phone. b) If Karla goes on a three-hour road trip, what is the probability that she has time to listen to all 50 randomly selected songs during the drive? 4) Frank is trying out for his school's swim team. His favorite event is the 100-yard freestyle and, to make the team, he must swim the event in less than 58 seconds. Recently, he has been timing himself and believes his average time for the event is 57.4 seconds with a standard deviation of 0.8 seconds a) At tryouts, he gets to swim the event once while being timed by the coach. Can you determine the probability that Frank will make the team when he tries out? b) Frank's friend Karen took AP Stats. She looks at his past times for the event and thinks their distribution is approximately Normal. Assume Karen is correct and calculate the probability that Frank will make the team when he tries out. c) Karen suggests Frank should ask to swim the event four different times and use the average as his qualifying time. Would this approach increase Frank's probability of making the team?