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How To Stream 30 Minutes Or Less?

Probabiliy: What if the durations of phone calls taken by the receptionist at an office are like draws made at random with replacement from a list that has an average of 8.5 minutes (that's 8 minutes and 30 seconds) and an SD of 3 minutes?

  • Q.1what if the durations of phone calls taken by the receptionist at an office are like draws made at random with replacement from a list that has an average of 8.5 minutes (that's 8 minutes and 30 seconds) and an SD of 3 minutes. Approximately what is the chance that the total duration of the next 100 calls is more than 15 hours? ==================================== Q.2A multiple choice test consists of 100 questions. Each question has 5 possible answers, only one of which is correct. Four points are awarded for each correct answer, and 1 point is taken off for each wrong answer. Suppose you answer all the questions by guessing at random, independently of all other questions. In order to score more than 30 points, you have to get more than howmuch answers right. also What is the chance that you get more than 30 points?

  • Answer:

    Q1: 0.04779

Alexander Obukhovsky at Quora Visit the source

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These questions are simple application of Central Limit Theorem (CLT). If you notice there is no mention of the distribution. But since you are dealing with sum of 100 random numbers here you can easily apply CLT and assume it to be normally distributed. After that finding the asked probabilities are trivial.

Chitta Ranjan

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