Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Grades in a math course. Indiana University posts the grade distributions for its courses online. In one spring semester, students in Math 118 received 16.1%
Grades in a math course. Indiana University posts the grade distributions for its courses online. In one spring semester, students in Math 118 received 16.1% As, 34.3% Bs, 29.2% Cs, 9.6% Ds, and 9.8% Fs. a. Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean and the standard deviation of grades in this section. b. Math 118 is a large enough course that we can take the grades of an SRS of 25 students and not worry about the finite population correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? c. What is the probability that a randomly chosen Math 118 student gets a B or better, P(X 3)? 11 d. What is the approximate probability that the grade point average for 25 randomly chosen Math 118 students is B or better, P(x 3)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started