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Statistics and probability

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  1. Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the probability of obtaining a score less than 80?

    0.9772

    0.0228

    0.3446

    0.6554

    0.9982

 

2. Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the score obtained by the top 2.5% of the students?

139.0

99.8

80.2

85.50

86.25

3. Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?

0.9545

0.4722

0.9005

0.6827

4.Suppose X is uniformly distributed between 4 and 6, find the mean and the standard deviation of X, and also find the probability of .

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[Solved] Statistics and probability

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  • Submitted On 22 Oct, 2016 05:02:35
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Formulas: Normal dist: Z score = ( x- u)/ sigma x = z score * sigma + u Uniform dist mean = (b+a)/2 standard dev = (b-a)/ sqrt 12 1. Scores on a certain exam are no...
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