(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)?

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I need help with D
in the win
5 24 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% A's,
34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's.
5225 pour
restate the
11
5.26
(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 µ and the standard deviation o
of grades in this section. n ordt od X
mone
500 Index
Suppose
the Index
12%, the
mean 5%
between
(a) The r
What are
(b) Math 118 is a large enough course that we can take
the grades of an SR.S of 25 students and not worry about
the finite populaticn correction factor. If x is the average
of these 25 grades, what are the mean and standard
deviation of x?ioinsq 008
(b) The c
symmetr.
observati
(c) What is the probability that a randomly chosen Math
118 student gets a B or better, P(X > 3)?
return ov
Normal.
is the ap
greater t
(d) What is the approximate probability that the grade
point average for 25 randomly chosen Math 118 students
is B or better, P(ã > 3)?
(c) The o
because
R. To se
and
(e) Explain why the probabilities in parts (c) and (d) are
so different.
year
9%. If Je
at the en
In 2019 the
Transcribed Image Text:in the win 5 24 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% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. 5225 pour restate the 11 5.26 (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 µ and the standard deviation o of grades in this section. n ordt od X mone 500 Index Suppose the Index 12%, the mean 5% between (a) The r What are (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x?ioinsq 008 (b) The c symmetr. observati (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)? return ov Normal. is the ap greater t (d) What is the approximate probability that the grade point average for 25 randomly chosen Math 118 students is B or better, P(ã > 3)? (c) The o because R. To se and (e) Explain why the probabilities in parts (c) and (d) are so different. year 9%. If Je at the en In 2019 the
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