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
BaLLatris [955]
3 years ago
7

A master student is planning to take a qualifying exam in the coming summer. She has three chances. The first one is in June. If

she fails the 1st one, then she can have a 2nd try in July, and if she also fails that one, she will take the 3rd one in August. If she fails all three exams, then she is not qualified. The chance of passing the 1st one is 0.5, the chance of passing the 2nd one is 0.7, and the chance of passing the 3rd one is 0.8. And these chances are independent. a) What is the probability that she passes the qualification? b) Given that she passes the qualification, what is the conditional probability that she passes on the second try?
Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

Step-by-step explanation:

Given

P_1=Probability of clearing exam in 1 st attempt=0.5

P_2=Probability of clearing exam in 2 nd attempt=0.7

P_3=Probability of clearing exam in 3 rd attempt=0.8

Probability that she passes the exam=P(1 st\ attempt)+P(1\ fail)\cdot P(2\ pass)+P(1\ fail)\cdot P(2\ fail)\cdot P(3 rd pass)

P=0.5+0.5\times 0.7+0.5\times 0.3\times 0.8=0.97

(b)P(Pass qualification on 2nd try|passes qualification)

P(Pass qualification on 2nd try|passes qualification)=\frac{P(fail\ on\ 1 )\cdot P(pass\ in\ 2nd)}{P(passes)}

P(Pass qualification on 2nd try|passes qualification)=\frac{0.5\times 0.7}{0.97}=0.3608

You might be interested in
Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she s
Lina20 [59]

Answer:

I

Step-by-step explanation:

Because p, r, and t stand for the years, interest and the complete total after the 3 years.

6 0
3 years ago
Help me on this please
gtnhenbr [62]
More than happy to help!

6/3= 2

When you divide powers, you subtract them.

7-4= 3



The answer is:

2*10^3

I hope this helped you! 

Brainliest answer is always appreciated!
7 0
3 years ago
Read 2 more answers
Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office,
avanturin [10]

Answer:

2 inches

Step-by-step explanation:

Since his actual height was 4 feet and 2 inches, instead of the estimate of 4 feet, the difference was 2 inches.

This means the error in inches was also 2 inches, since the estimated height was 2 inches lower than the one at the doctor's office.

So, the error is 2 inches

5 0
3 years ago
A builder needs 30 centimeter lengths of lumber to reinforce a stud wall. How many can he cut from a piece that is five meters l
agasfer [191]

Answer:

16

Step-by-step explanation:

5m is equivalent to 500cm

500 ÷ 30 = 16.6666666667

= 16

6 0
3 years ago
Use the triangles Name one pair of congruent angles.
Likurg_2 [28]
Your correct answer is option B
6 0
3 years ago
Other questions:
  • A fair number cube, numbered from 1 to 6, is rolled. What is the probability that the number is some number other than 6?
    8·2 answers
  • I need a proper answer please, thanks so much.
    11·1 answer
  • Which of the following statement is true about a trapezoid
    9·1 answer
  • How can you model 1,200 with base ten blocks/cubes
    11·2 answers
  • How many 1/3 cups are in 2/3 cup?
    10·1 answer
  • Find the value of the given trigonometric function. sin (-1035 degrees)
    14·1 answer
  • Give Brainliest (need ASAP)
    8·2 answers
  • There are 40 boys in 6th grade. The number of girls in 6th grade is 30. Carly says that means the ratio of the number of boys in
    8·2 answers
  • The formula 
    14·1 answer
  • The functions f and g are defined by f(x)=2x+1 and g(x)= 5x-1. find<br>a. fg(3)<br><br>​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!