Question: An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. The classes are open to any of the 100 students in the school. There are 28 students in the Spanish class, 26 in the French class, and 16 in the German class. There are 12 students that are in both Spanish and French, 4 that are in both Spanish and German, and 6 that are in both French and German. In addition, there are 2 students taking all 3 classes.
(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?
(b) If a student is chosen randomly, what is the probability that he or she is taking exactly one language class?
(c) If 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?

Step by Step Solution

★★★★★

3.53 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a PS F G 28 26 16 12 4 6 2100 12 The desired probability is 1 12 12 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

588-M-S-P (3725).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Often, news stories that are reported as startling "one-in-a-million" coincidences sure actually, upon closer examination, not rare events and can even be expected to occur. A few yesurs ago an...

All of the third graders at Roth Elementary School were given a physical-fitness strength test. The following data resulted: a. Construct a dotplot. b. Prepare a grouped frequency distribution using...

A large public school system was evaluating its elementary school reading program. In particular, educators were interested in the performance of students on a standardized reading test given to all...

[4.] (5 marks) An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 100 students in the school. There are 28...

BASIIS Total Score : 30 Course Title: Probability and Statistics Time allowed: 90 Minutes Instructors: Dr. Emad Yacoub & Dr. El-Amira Hend Said. The Exam Contains 4 Questions in TWO Pages....

There are 7 strangers in a room. Let E7E7 denote the event that no two of them celebrate their birthday in the same month. Assume that all possible monthly outcomes are equally likely. P(E7)P(E7) =...

(1 point) An elementary school is offering 3 language classes: one in Spanish. one in French. and one in German. These classes are open to any of the 100 students in the school. There are 25 students...

5. (15 points total) An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 100 students in the school. There are...

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German and the classes are open to all of students in the school. There are 28 students in the Spanish...

An elementary school is offering 3 language classes: one in Spanish, one in French, and one in German. These classes are open to any of the 99 students in the school. There are 39 in the Spanish...

Statement of Financial Position (Balance Sheet) 2018/12 2019/12 2020/12 2021/09 Presentation Currency 1000TL 1000TL 1000TL 1000TL Nature of Financial Statements Consolidated Consolidated Consolidated...

What conditions must hold for a monopoly to exist?

Which of the following considerations are most important for investors to consider in selecting a mutual fund? ( Select all that apply ) Question 3 9 options: Sales charges, fees, and 1 2 b 1...

In example 15.3, there are 2 individuals with wage rates w1 = $10 per hour and w2 = $20 per hour respectively. They have identical preferences, represented by the utility functions: where xi is...

If balls are randomly chosen from an urn containing red, white, blue, and green balls, find the probability that a. At least one of the balls chosen is green; b. One ball of each color is chosen.

If the die in Problem 4.7 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d). Data from Problem 4.7 a. The maximum value to appear in the two...

In Example 4b, suppose that the department store incurs an additional cost of c for each unit of unmet demand. (This type of cost is often referred to as a goodwill cost because the store loses the...

To save for her newborn son's college education. Lea Wilson will invest $17,000 at the beginning of each year for the next 13 years The interest rate is 8 percent What is me future value? Use...

Big Blue University has a fiscal year that ends on June 30 . The 2019 summer session of the university runs from June 10 through July 26. Total tuition pald by students for the summer session...

Could anyone help on the below questions and provide steps and reasoning for that? Let X and u be (scalar) random variables. Select all of the following statements which are true. If E(u | X) = 0,...