1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
3 years ago
9

In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha

t 95% of those who went to class on Fridays pass the course, while only 10% of those who did not go to class on Fridays passed the course. If a student passes the course, what is the probability that they did not attend on Fridays?
Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95,  P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

You might be interested in
The probability of a particular manufactured product being defective is 1/100. How many defective products would be expected in
aksik [14]

Answer:

15

Step-by-step explanation:

Just divide 1500 by 100

5 0
3 years ago
Read 2 more answers
How many votes if 300 is 60%​
KengaRu [80]

Answer:

180

Step-by-step explanation:

bc .60x300

to find the it u just .60 because it's a percentage

5 0
3 years ago
Read 2 more answers
Assume women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. a. If one wom
Zarrin [17]

Answer:  a)  0.5636       b) 0.7881

Step-by-step explanation:

We assume that women’s heights are normally distributed .

Let x be the random variable that represents the shoe sizes.

Also, The population mean = \mu=\text{63.6 inches} ; Standard deviation: \sigma=\text{2.5 inches}

a) Formula for z:-

z=\dfrac{x-\mu}{\sigma}

Put x= 64, we get

z=\dfrac{64-63.6}{2.5}=0.16

Now, the probability that the male shoe sizes are greater than 8 :-

P(z

Hence, the probability that her height is less than 64 inches = 0.5636

b. Sample size : n= 25

Then , the formula for z :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Put x= 64, we get

z=\dfrac{64-63.6}{\dfrac{2.5}{\sqrt{25}}}=0.8

Then, the probability that they have a mean height less than 64 inches.:_

P(z

Hence, the probability that they have a mean height less than 64 inches. =0.7881

7 0
3 years ago
Read 2 more answers
Y=-x/3 -3/2 on a graph
Sladkaya [172]

From the equation the slope is -1/3 and the y-intercept is -3/2. This shows that the intercept must pass through the y-axis at -3/2.

<h3>Equation of a line</h3>

A line is defined as the shortest distance between two points. The formula for finding the equation of a line in slope-intercept form is given as;

y = mx + b

The point sloe form of the equation is given as y-y1 = m(x-x1)

where

  • m is the slope
  • b is the intercept
  • (x1, y1) is any point on the line

Given the equation of graph to plot

y=-x/3 -3/2

From the equation the slope is -1/3 and the y-intercept is -3/2. This shows that the intercept must pass through the y-axis at -3/2.

Learn more on equation of a line here: brainly.com/question/18831322

#SPJ1

3 0
1 year ago
Explain why estimating before you divide 624 by 6 helps you place the first digit in th quatient
Nana76 [90]
I would say this. 624 is rounded to 600, so you would take 600 divided by 6.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Catie is trying to determine the height that a ladder reaches as it leans against a wall. She walks under the ladder and touches
    10·2 answers
  • For questions 1-2 what is the graph of the system
    7·2 answers
  • Please help! I have a deadline by tonight, hopefully someone can help x
    12·1 answer
  • According to Greg, perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfec
    5·1 answer
  • Stacy uses 6 cups of sugar to make 120 brownies how many cups of sugar will she use to make 360 brownies?
    6·2 answers
  • If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea
    5·1 answer
  • The costs of different weights of onions sold at a grocery store are shown in the table below. What are the independent and depe
    12·1 answer
  • Complete the point-slope equation of the line through (8,-8) and (9,8)
    7·1 answer
  • 1. Based on the information in the table, is the cost of the apples proportional to the weight of apples?
    10·1 answer
  • Which of the following is the best graph of the point below
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!