Question

A physics class has 40 students. Of​ these, 17 students are physics majors and 13 students...

A physics class has 40 students. Of​ these, 17 students are physics majors and 13 students are female. Of the physics​ majors, five five are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is

Homework Answers

Answer #1

General rule for two events:

P ( A or B) = P (A) + P (B) - P (A and B)

A ==> Student is a Physics major

B ==? Student is a female

Probability = Number of favorable outcome / number of possible outcome

17 of the 40 students are physics major

P (A) = 17/40

13 of the 40 students are female

P (B) = 13/40

5 of the 40 students are physics major and female

P (A and B) = 5/40

So use the general rule :

P (A or B) = P (A) + P (B) - P (A and B)

= (17 + 13 + 5) / 40

=35/40

=0.875

The probability that a randomly selected student is female or a physics major is 0.875

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A physics class has 40 students. Of​ these, 12 students are physics majors and 17 students...
A physics class has 40 students. Of​ these, 12 students are physics majors and 17 students are female. Of the physics​ majors,five are female. Find the probability that a randomly selected student is female or a physics major.
A physics class has 50 students. Of​ these, 10 students are physics majors and 17 students...
A physics class has 50 students. Of​ these, 10 students are physics majors and 17 students are female. Of the physics​ majors, three are female. Find the probability that a randomly selected student is female or a physics major. PLEASE ROUND TO THREE DECIMAL PLACES
A university class has 26 students: 12 are art majors, 9 are accounting majors, and 5...
A university class has 26 students: 12 are art majors, 9 are accounting majors, and 5 are nursing majors. The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is an art major and the second student is a nursing major? Do not round your intermediate...
At a certain college, 53% of the students are female, and 17% of the students major...
At a certain college, 53% of the students are female, and 17% of the students major in civil engineering. Furthermore, 12% of the students both are female and major in civil engineering. (a)What is the probability that a randomly selected female student majors in civil engineering? Round your answer to the nearest hundredth. (b)What is the probability that a randomly selected civil engineering major is female? Round your answer to the nearest hundredth.
In an anthropology class there are 9 anthropology majors and 13 non-anthropology majors. 3 students are...
In an anthropology class there are 9 anthropology majors and 13 non-anthropology majors. 3 students are randomly selected to present a topic. What is the probability that at least 2 of the 3 students selected are non-anthropology majors? Express your answer as a fraction or a decimal number rounded to four decimal places. PLEASE DO NOT ANSWER UNLESS YOU ARE CONFIDENT IT WILL BE CORRECT.
Exercise 5.11. Sex and switching majors. At a certain university, 60% of undergraduate students are male,...
Exercise 5.11. Sex and switching majors. At a certain university, 60% of undergraduate students are male, and 40% are female. Ten percent of females change their majors at least once. Overall, 30% of students change their majors at least once. a. Find the probability that, given a randomly selected student who changes majors, the student is a female. b. What percentage of males change their majors at least once?
Suppose that a certain college class contains 40 students. Of these, 24 are sophomores, 20 are...
Suppose that a certain college class contains 40 students. Of these, 24 are sophomores, 20 are mathematics majors, and 9 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a mathematics major? (b) Given that the student selected is a mathematics major, what is the probability that he is also a sophomore? Write your responses as fractions.
A survey of a sample of undergraduate students in the faculty of Science in a university...
A survey of a sample of undergraduate students in the faculty of Science in a university revealed the following data regarding the gender and majors of the students: Gender Major Total Biology Physics Mathematics Male 22 10 8 40 Female 3 5 2 10 Total 25 15 10 50 A student is randomly selected. The probability of selecting a Mathematics major, given that the student selected is Male is ..... 40/50 10/40 8/50 8/40
Mr. Weber's physics class has 115 students, classified by academic year and gender, as illustrated in...
Mr. Weber's physics class has 115 students, classified by academic year and gender, as illustrated in the table. Mr. Weber randomly chooses one student to collect yesterday's work. Mr. Weber's Physics Class Academic Year Males Females Freshmen 16 12 Sophomores 10 14 Juniors 15 14 Seniors 17 17 Copy Data Step 1 of 2: What is the probability that he selects a female, given that he chooses randomly from only the juniors? Express your answer as a fraction or a...
Our class has 35 students in it. Ten students are nursing majors, 15 said ice cream...
Our class has 35 students in it. Ten students are nursing majors, 15 said ice cream was their favorite dessert and three students are nursing majors AND said ice cream was their favorite dessert. a. How many students are nursing majors, but have a favorite dessert that is NOT ice cream? (hint, the 10 nursing majors includes the three who love ice cream.) (1 point) b. Draw a Venn Diagram (or other suitable representation) of this situation and then answer...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT