Question
Asked Sep 27, 2019
Giving a test to a group of students, the grades and gender are summarized below

  A B C Total
Male 15 19 5 39
Female 2 11 20 33
Total 17 30 25 72


If one student is chosen at random,

Find the probability that the student was female OR got an "B". (give a simplified fraction)
  
check_circleExpert Solution
Step 1

We are given data,

A
C
Total
Male
15
19
5
39
Female
11
20
33
Total
17
30
25
72
help_outline

Image Transcriptionclose

A C Total Male 15 19 5 39 Female 11 20 33 Total 17 30 25 72

fullscreen
Step 2

We have to find,

If one student is chosen, what will be the probability that the student was female OR got an "B"?

There are 33 females total (row3, total column) and 30 people who got a B (look at the bottom of the B column).

So there are 33+30 = 63 people who either are female or got a B.

We need to subtract off the 11 females who got B's. Because it will not take double-counting.

Step 3

So there are 63-11 = 52 people who got a B, they are female, or they are females who got a B grade.

At this point, we are not double coun...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The toco toucan, the largest member of the toucan family, possesses the largest beak relative to bod...

A: The regression analysis is conducted here by using EXCEL. The software procedure is given below:Ente...

question_answer

Q: (1 point) A basketball player makes 200 out of 250 free throws. We would estimate the probability th...

A: It is given that player makes 200 out of 250 throws.Probability:The chance of getting an event can b...

question_answer

Q: I have struggled with questions related to the one in the image attached. What makes these data dist...

A: Symmetric distribution:A distribution is said to be symmetric, when its mean, median, and mode are t...

question_answer

Q: Assume that every patient with a particular type of disease has probability 0.1 of being cured withi...

A: Consider X as the number of successes (patients being cured) out of the n = 10 trials (patients). Th...

question_answer

Q: 17. Made in America In a recent Harris Poll, a random sample of adult Americans (18 years and older)...

A: Given Data is shown in table

question_answer

Q: A normal distribution has a mean of µ = 100 with σ = 20. If one score is randomly selected from this...

A: Consider a random variable X, which follows normal distribution, indicates the scores. It has a mean...

question_answer

Q: How do you solve this problem? Based on the model ​N(11571157​,8787​) describing steer​ weights, w...

A: (a)The cutoff weight for the highest 10% of the steer weights is obtained as follows:

question_answer

Q: Example. both SAT and ACT scores' distributions are mound shaped Mean 1000, Std. Dev. of 200 Mean 21...

A: z-score:X follows a distribution that has mean µ and standard deviation σ. It is the number of stand...

question_answer

Q: A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime...

A: From the given information, a police officer claimed that the proportion of accidents that occur in ...