Math

StatisticsQ&A LibraryCalculus Pretest. Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those that fail on the first try, 54% pass on the second try; and of those remaining, 48% pass on the third try.a. What is the probability that a student passes on the second try?b. What is the probability that a student passes on the third try?c. What percentage of students pass?Question

Asked Jan 9, 2020

1 views

**Calculus Pretest.** Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those that fail on the first try, 54% pass on the second try; and of those remaining, 48% pass on the third try.

a. What is the probability that a student passes on the second try?

b. What is the probability that a student passes on the third try?

c. What percentage of students pass?

Step 1

Given that,

Sixty percent of the students pass on the first try; of those that fail on the first try, 54% pass on the second try; and of those remaining, 48% pass on the third try.

Step 2

a)

Let A denote that the selected student fail on the first try and B denotes that the selected student passes on the second try.

That is 40% of the students failed on the first try.

P (A) =40%

P (B) = 54%

The probability that a student passes on the second try is 0.216.

Step 3

b)

Let A denote that the selected student fail on the first try and B denotes that the selected student passes on the second try.

That is 40% of the students failed on the first try.

That is 46% of the students passes on the second try.

Then 48% of the students passes on the third try.

The probability that a student passes on the third try is 0.088.

...Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Complete the following statement: A descriptive measure is resistant if . . . .

A: A measure is said to be resistant, if it is not sensitive to the influence of extreme observations.E...

Q: Dr. Barton hypothesizes that if 1st grade students are assigned to practice sight word flashcards fo...

A: The control group is: Group B because this group was not given any intervention (10 minutes of daily...

Q: In two-way ANOVA, what does it mean when we say that we have balanced data?

A: In this case, we need to find the meaning for the balanced data.

Q: The Challenger Disaster. In a letter to the editor that appeared in the February 23, 1987, issue of ...

A: It is given that the probability of failure of a criticality 1 item is 0.0001. The binomial distribu...

Q: Apply Chebyshev’s rule to solve Exercises. A quantitative data set has size 80. At least how many ob...

A: The size of the data set is 80.

Q: Working with Large Data Sets The Great White Shark. In an article titled “Great White, Deep Trouble”...

A: a)Single value grouping:A grouping method in which each class is used to represents a single possibl...

Q: Using key terms, create a scenario where you can find a population, a sample, the parameter, the sta...

A: Consider, a researcher wants to find the distribution of the weight of the students that study in a ...

Q: Explain the difference between a. frequency and relative frequency.b. percentage and relative freque...

A: a)Qualitative variable: A variable that is used for classification of individuals based on some attr...

Q: Which measure of variation is preferred when a. the mean is used as a measure of center?b. the media...

A: a)Mean:Mean is an important measure of center when the data is quantitative. Mean of a data set is t...