The grade point averages (GPAs) of a large population of college students are approximately normally distributed...

The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.5 and standard deviation 0.7. If students possessing a GPA less than 1.75 are dropped from college, what percentage of the students will be dropped? (Round your answer to two decimal places.)

?? %

The width of bolts of fabric is normally distributed with mean 950 mm (millimeters) and standard deviation 10 mm.

(a) What is the probability that a randomly chosen bolt has a width between 943 and 959 mm? (Round your answer to four decimal places.)

What is the probability that a randomly chosen bolt has a width between 943 and 959 mm? (Round your answer to four decimal places.)

(b)

What is the appropriate value for C such that a randomly chosen bolt has a width less than C with probability 0.8749? (Round your answer to two decimal places.)

C =

Expert Solution

orchestra answered 2 years ago

The grade point averages (GPAs) for graduating seniors at a college are distributed as a continuous rv X with pdf

The grade point averages (GPAs) for graduating seniors at a college are distributed as a continuous rv X with pdf (a) Find the value of k. (b) Find the probability that a GPA exceeds 3 . (c) Find the probability that a GPA is within 0.25 of 3 . (d) Find the probability that a GPA differs from 3 by more than 0.5

Do students with higher college grade point averages (GPAs) earn more than those graduates with lower...

Do students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs?† Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary ($) 2.22 72,000 2.27 48,000 2.57 72,000 2.59 62,000 2.77 88,000 2.85 96,000 3.12 133,000 3.35 130,000 3.66 157,000 3.68 162,000 (a) Develop a scatter diagram for these data with college GPA as the independent variable. A scatter diagram has a horizontal axis labeled "GPA" with values from...

1. The grade point average (GPA) of a large population of college students follows a normal...

1. The grade point average (GPA) of a large population of college students follows a normal distribution with mean 2.6, and standard deviation of 0.5. Students with GPA higher than 3.5 are considered “exceptional”, 3.0 to 3.5 are considered to be “good”, 2.0 to 3.0 are considered “average”, and below 2.0 are considered to be “poor”. (a) For a randomly selected student, what is the probability that he has a “good” GPA?   (b) Suppose 10 students are randomly selected. Let...

Grade point averages of students on a large campus follow a normal distribution with a mean...

Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5. d) A random sample of 400 students is chosen from this campus. what is the probability that at least 80 of these students have grade point averages higher than 3.0? e) Two students are chosen at random from this campus. what is the probability that at least one of them has a grade point average higher...

The grade point averages (GPA) for 12 randomly selected college students are shown on the right....

The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. 2.2 3.4 2.9 1.8 0.8 4.0 2.4 1.3 3.9 0.5 2.4 3.3 (a) Find the sample mean. x = _____ (Round to two decimal places as needed.) (b) Find the sample standard deviation. s= ______ (Round to two decimal places as needed.) (c) Construct a 95% confidence interval for the...

The grade point averages (GPA) of 18 randomly selected college students are used to estimate the...

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14. For a sample of students, their total SAT scores and college grade point averages (GPA)...

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Amongst Penn State World Campus students, do those who sleep more tend to have higher grade point averages (GPAs)?

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The GPAs of all students enrolled at a large university have an approximately normal distribution with...

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of 0.29 . Find the probability that the mean GPA of a random sample of 20 students selected from this university is 2.87 or lower. Round your answer to four decimal places. P ( x ¯ ≤ 2.87 ) = PLEASE SHOW WORK

The grade averages for 10 randomly selected junior college students are listed below. Assume the grade...

The grade averages for 10 randomly selected junior college students are listed below. Assume the grade averages are normally distributed. Find a 98% confidence interval for the true mean. 78 80 83 48 76 72 94 75 91 65

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