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
155
likes
776 views
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
Frequently asked questions (FAQs)
What is the equation of the hyperbola with a vertical transverse axis, center at (0,0), foci at (-3,0) and (3,0), and asymptotes passing through the points (-2,1) and (2,-1)?
+
What is the result of adding 56 to the product of 9 and 7?
+
What is the standard deviation of the set of numbers: 10, 15, 18, 20, 23, 25, 28, 30, 35?