Question

In: Statistics and Probability

The average GPA at a college is 2.73 with a standard deviation of 0.8. Find the...

The average GPA at a college is 2.73 with a standard deviation of 0.8. Find the probability that 10 randomly selected students will have an average GPA greater than 2.37

Expert Solution

Solution :

Given that ,

mean = = 2.73

standard deviation = = 0.8

n = 10

= 2.73

= / n = 0.8 / 10 = 0.2530

P( >2.37 ) = 1 - P( <2.37 )

= 1 - P[( - ) / < (2.37 -2.73) /0.2530 ]

= 1 - P(z < -1.42)

Using z table

= 1 - 0.0778

= 0.9222

probability= 0.9222

orchestra answered 2 years ago

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