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 solution set for the equation x^2 + y^2 = 25 in the Cartesian coordinate system?
+
Math question: Factor the expression 3x² + 12x - 15 using the distributive property.
+
Math Question: For the logarithmic function f(x) = log x and f(x) = ln x, find the value of x when f(x) = 2.