Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)

Answers

Answer 1

Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.


Related Questions

19.(06.02 LC)
Line IJ has an equation of a line y = -3x - 8. Which of the following could be an equation for a line that is parallel to line 1J? (6 points)

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

when they are parallel, they always have the same slope.

Make an algebraic expression to determine the 15th term of this pattern:
63, (63+23), (63+23+30), (63+23+30+37), ...

And please, give me a complete answer with a step-by-step explanation.

Answers

Answer:

63+23+30+37+44+51+58+65+72+79+86+93+100+107+114.

Step-by-step explanation:

1. according to the condition 63+23; 63+23+30; 63+23+30+37+...; is an arithmetic sequence (note, 63 does not belong to it);

2. according to the condition the 1st term is 63+23; the 2d term is 63+23+30; the 3d term is 63+23+30+37, etc. It means, the next term is calculated with '+7';

3. according to the item '1.' the number '63' was excluded from the initial pattern. It means, the 14th term should be calculated: 23+7*(14-1)=114.

4. if number '63' is included into the given pattern again, the 15th term of the given pattern is 63+0+23+30+...+98.

5. the 15th term is:

63+23+30+37+44+51+58+65+72+79+86+93+100+107+114.

choose the best estimate for the mass of an apple
A. 25 g
B. 250 g
C. 1,000 g
D. 2,000 g
boi you bettter helpp.

Answers

Gotchu cuh. It’s 250g. This math stuff too easy

Answer:

25 or 250 i would go wit 250 but i fr dont know

Step-by-step explanation:

Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in months .

Answers

n=3x, x is months and n is the total.

What percentage of the questions did he get right

Answers

Probably d. 75% I don’t know how to explain it other than divide 45 by 60

Solve this linear equation:

x/2 + 3/4 = x/8 ​

Answers

8 * (x/2 + 3/4 ) = 8 * ( x/8 )

Number of solutions found: 1
x1=-2


Sam and Jimmica have both taken a
speed-reading class and have been
assigned to read a 300-page novel.
Jimmica started reading at noon and read
10 pages per minute. Sam was on page 62
at noon and read 8 pages per minute. Will
Jimmica ever catch up to Sam? Explain
how you found your answer.

Answers

Answer: Yes

Step-by-step explanation:

The width of a rectangle is 7t-1.5 feet and the length is 1.5t+6 feet. Find the perimeter of the rectangle.

Answers

Answer:

17t+9

Step-by-step explanation:

Please tell me the sum 3+5?

Answers

Answer:

5+3=8

Step-by-step explanation:

5+3=8

sum is adding

Answer:

The answer is 8

Step-by-step explanation:

78.84 is what percent of 292?
Pleasee

Answers

Answer:

230.2128. Im pretty sure

Step-by-step explanation:

Answer:

27%

Step-by-step explanation:

Andrew bought a notebook that costs $6.49 and some books. The total cost was $18.55. How much did the books cost?​

Answers

Answer:

12.06

Step-by-step explanation:

Answer:

The books cost $12.06

Step-by-step explanation:

You subtract $6.49 - $18.55 = $12.06

So your answer is $12.06

The radius of a circular swimming pool is 4.5 meters. What is the circumference of this
swimming pool? Use 3.14 for Pi.

Answers

Answer:

28.26

Step-by-step explanation:

Answer:

28.26

Step-by-step explanation:

4.5×3.14=14.13×2=28.26

The pair of pants at Moore's is $80, and the sales tax is 20%. Calculate the final price.(ill give best revews i need done asap)

Answers

Answer:

$96

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

80*.20=16

80+16=96

Please help due in 5 mins

Answers

Answer:

2/5 decimal: 0.4. percent:40%

Answer: 0.4 / 40%

Step-by-step explanation:

Decimal 0.4

Percentage 40%

If you multiply me by 7, add 2 and divide by 3. You get 10. What number am I?​

Answers

Answer:

4

Step-by-step explanation:

4 times 7 = 28

28 + 2 = 30

30/3 = 10

Answer:

4

Step-by-step explanation:

In numerical terms, write down what the problem says to,

( 7x + 2 ) ÷ 3 = 10

Now solve with inverse operations and simplification,

( 7x + 2 ) ÷ 3 = 10

              *3     *3

7x + 2 = 30

     -2    -2

7x = 28

÷7     ÷7

x = 4

Find 1 2/3 + ( -2 1/2) Show your work.

Answers

Answer:

-5/6

Step-by-step explanation:

1 2/3+(-2 1/2)

[tex]\frac{1(3)+2}{3} -\frac{2(2)+1}{2}[/tex]

5/3-5/2

LCD 6

[tex]\frac{5(2)}{3(2)} -\frac{5(3)}{2(3)}[/tex]

10/6-15/6

-5/6

Help ASAP. Find the value of x.

Answers

(3x+1) = 64
3x = 63
3x/3 = 63/3
x = 21

ethan planted a tree that was 1.85 meters tall.several years later , the tree is 5.30 meters tall. which equation can be used to find x, the number of meters the tree has grown

Answers

Answer:

e

Step-by-step explanation:

Is -0.75 bigger or 0.55

Answers

Answer:

0.55 is bigger

Step-by-step explanation:

-.75 is negative and 0.55 is positive

Answer:

0.55 is bigger

Step-by-step explanation:

Since -0.75 is a negative number, it would be smaller than a positive number like 0.55. (Tis ain't really a good explanation.)

Answers would be appreciated :)

Answers

Answer:

a) 39cm, b) 7.5cm, c) 40m, d) 35 ft

Step-by-step explanation:

a) 13(3)=39, b) (5x3)/2=7.5, c) (8x10)/2=40, d) (10x7)/2=35

Answer:

a. 39 cm

b. you cant see b that clearly :(

c. 40

d. 34.99 = 35

so sorry if these arent right

I NEED A ANWER QUICK

Answers

Answer:

It is B because if you have 6 - a negative number you are going to have the closet amount because you have a  closer amount to 0

Step-by-step explanation:

Plz mark brainliest

Answer:

3(n-6)

Step-by-step explanation:

calculate the area of this triangle 18cm, 14cm and height is 11cm​

Answers

Answer : 99cm^2

Hope this helps

The area of the triangle with a height of 11 cm and a base of 18 cm is,

99 cm².

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We also know,

The way of classifying a triangle,

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

The area of a triangle is half times the product of the height and base.

The given triangle has a height of 11 cm and a base of 18 cm.

Therefore, The area of the triangle is,

= (1/2)×18×11 cm².

= 99 cm².

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Which expression is equivalent to − 5 ( 8 x + 9 ) − 7 x?

Answers

Answer:

12

Step-by-step explanation:

Identify the terms in the following:

a^2 + 2 +7b

Answer:

Answers

Answer: -1

Step-by-step explanation:

If 10 people can paint a fence in 3 days, how long would it take 6 people?

Answers

Answer:

5 days.

Step-by-step explanation:

By proportion it will take (10/6) * 3

= 30 /6

= 5 days.

9. Jenny is selling t-shirts to raise money for the cheerleading team. She sells long sleeve t-shirts
for $18 and short sleeve t-shirts for $12. At the first football game Jenny sells 54 t-shirts and
makes $774. Write and solve a system of equations to find out how many of each she sold.
(let x=the number of long sleeve t-shirts and y=the number of short sleeve t-shirts)

Answers

Answer:

54 short sleeve

7 long sleeve

Step-by-step explanation:

54*12=648

774-648= 126

126/18=7

−1/5(x−4)=−2
Solve for x

Answers

the answer would be x = 14


I need help on both of these plss

Answers

Answer:

1. When combining 5+2+3 it equals 10; and when solving 5+(2+3) you solve what's in the parenthesis first. So the new problem is 5+(5), which equals 10.

2. Same goes for the second one, 11-2 is 9, then you just add the a because both have the same variable

hope that helped :) have an amazing day

Answer:

for 1: yes they are the same

for 2: true

Step-by-step explanation:

for 1: 5+2+3=10 and 5 +(2+3) = 10 because 2+3=5 so 5+5=10 therefore they are the same

For:2 9=11-2 because 11-2=9

Kate had $140. She spent
2/5 of it. What amount did she spend?

Answers

2/5*140
= 56
So Kate spent $56

The amount Kate spent $ 56 of the $ 140 she had.

To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.

To do this, we can multiply $ 140 by the fraction 2 / 5:

= $ 140 * 2 / 5

= $280 / 5

= $ 56

Therefore, Kate spent $ 56 of the $ 140 she had.

To know more about amount  click here :

https://brainly.com/question/13540705

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Chester has a coupon for 1/10 off the price of a shirt. If a shirt originally costs $29.30, what discount would Chester receive from using his coupon?

A. $5.86
B. $0.34
C. $26.37
D. $2.93​

Answers

Answer:

26.37

Step-by-step explanation:

you change 1/10 too 10 percent then you multiply that too  29.30 and you get 2.93 then you subtract 2.93 from 29.30 and you get 26.37 :)

I agree with the person on top have a nice day:)
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