a statistics scores are normally distributed with the mean of 75 and standard deviation of 7 what is the probability that
Question
a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7.
What is the probability that a student scores between 80 and 88
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Answer to a math question a) Statistics scores are normally distributed with the mean of 75 and standard deviation of 7.
What is the probability that a student scores between 80 and 88
\mu=75,\sigma=7
calculate z-scores for 80 and 88 as
z_1=\frac{80-\mu}{\sigma}=\frac{80-75}{7}\approx0.7143 z_2=\frac{88-\mu}{\sigma}=\frac{88-75}{7}\approx1.8571
refer to any z-score calculator or table to get
P(0.7143 < Z < 1.8571) = 0.2059 approx
required probability = 0.2059
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