In Evans history class, 10 out of 100 key terms will be randomly selected to appear on the final exam; Evan must then choose 7 of those 10 to define. Since he knows the format of the exam in advance, Evan is trying to decide how many key terms he should study. (a) Suppose that Evan decides to study s key terms, where s is an integer between 0 and 100. Let X be the number of key terms appearing on the exam that he has studied. What is the distribution of X? Give the name and parameters, in terms of s. (b) Calculate the probability that Evan knows at least 7 of the 10 key terms that appear on the exam, assuming that he studies s = 75 key term

Answers

Answer 1

Answer:

(a) Hypergeometric distribution

(b) 0.785384...

Step-by-step explanation:

(a) looking at the question, we see that [tex]X = \in \{0, ... , 10 \}[/tex], suppose Evans studied s key terms, this implies that he has not studied 100 - s key terms. Suppose [tex]k = \in \{0, ... , 10 \}[/tex] if X = k, then k out of the s key terms he had studied appeared. But 10 - k out of 100 - s key terms he hasn't studied appeared. Thus X is an Hypergeometric distribution, X~HGeom(s, 100 - s, 10) with PMF:

[tex]P_{x}(k) = P(X = k)[/tex]

Related Questions

Do yoi think you can sovle this?
Free brainlest for answer, 25 points.

Answers

Answer:

23 did i get it?

Gordon types 2,448 words in 36 minutes. Find the unit rate.

Answers

Answer: 68 words

Step-by-step explanation: 2448 / 36 = 68

Answer:

68 Words

Step-by-step explanation:

68 words in a minute if you divide 2448 by 36

write an equivalent fraction of 4/5 with the denominater 25

Answers

Answer:

20/25

Step-by-step explanation:

to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25

The correct answer would be 20/25

Who can help me with 9th grade math and got zoom?

Answers

Answer:

Me, I'm in 12th grade so sure. ^‿^

Step-by-step explanation:

Help please ASAP I’m not good at this

Answers

Answer:

y = 0.7x + 12

Step-by-step explanation:

Write 45%of m as an expression

Answers

Answer:

Step-by-step explanation:

____
Solve √3x+4 −2=3

Answers

Answer:

[tex]\sqrt[/tex]3x+4=5

Step-by-step explanation:

3x+4=25

3x=21

x=7

Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)

Answers

The answer is (-2,1)

For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.52. If you had measured tail length in centimeters instead of millimeters, what would be the correlation?

Answers

Answer:

The correlation coefficient is r = 0.52

Step-by-step explanation:

From the question we are told that

The correlation coefficient is r = 0.52

Generally correlation has no unit and is not affected by unit (i.e it show the ratio between two quantities )

Hence a change of the unit of measurement of length from cm to mm will not affect the correlation coefficient r hence the value will still remain r = 0.52

Answer:

Step-by-step explanation:

ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n

2x+y=0

2x+y=6

x-2y=-10

x-2y=8

Answers

Answer:

y=-2x+b

-2=-8+b

6=b

y=-2x+6

2x+y=6

anybody know this and can help me ?

Answers

What they said ^^^. Hopefully this helps you :)

(-1) + (-1) + (-1) + (-1) + ... 500 times =
(a) 500
(b) 1
(c) -1
(d) -500

Answers

Answer:

Step-by-step explanation:

(-1) + (-1) = -2... so 500 times... it would be -500.

Divide and check your answer. 6/938

Answers

6/938 = 0.006 I think that’s correct

How would you write 2 × 2 × 2 using exponents?

Answers

Answer:

2³

Step-by-step explanation:

2×2×2...there are 3 2s which is 2³

(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …

Answers

Answer:

Step-by-step explanation:

is there a need for explanation

2. What is the difference?
Complete the subtraction sentence.
5-5=

Answers

Answer:

Step-by-step explanation:

Kent earns $12.75 per hour at his part time job. Kent worked 18 hours last week. This week he spent 1/3 of his money on car repairs. How much did the repairs cost?

Answers

ANSWERS TO THE WHOLE QUIZ:

1. 13.23

2. 1/2

3. 0.25

4. 31.16

5. 76.50

Your Welcome and have a great day!

( I had to fail the quiz to give the answers)

Question 1

1 pts

A high school gym teacher records how much time each student requires to complete a one-mile run.

This

is an example of measuring a continuous variable.

Answers

Answer:

True : It is an example of a continuous variable

Step-by-step explanation:

Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.

Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.

On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.

what is the rectangular prism of 2 units and 7 1/3

Answers

Answer:

it could be 14 2/6 units squared

Step-by-step explanation:

idkI don’t know but for area is units squared and for volume it has units cubed

How do you find the slope-intercept form from two points?

Answers

Answer:

Rise over run.

Step-by-step explanation:

If you have learned rise over run you will get it.

Find the slope between points (4,-5) and (5,-1)

Answers

Answer:

Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4

Number 2 : How old is Geraldo?

Answers

it’s b because you substitute the 11 in and then you add 3 to it which would be 14 then you add the other 11 which would be equal to 25

Please help ASAP this is timed

Answers

Answer:

the answer is 30 with 75 kids voting for drinks in total

Answer:

30 students

Step-by-step explanation:

45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy

Does anyone stan Twice??

Answers

Meeeeeeeeeeeeeee I doooo

Answer:

This is literally me.

Step-by-step explanation:

Plz help i only need c im confused lol 6th grade history

Answers

Answer:

War

Step-by-step explanation:

Criminals

what are the steps we should follow to solve and equation

Answers

PEMDAS is what you could possibly use

Find area of the figure :)

Answers

768 square meters.

We can break it down into two shapes, a rectangle and a triangle.

Rectangle:

[tex]a = b \times h[/tex]

[tex]a = (48) \times (11)[/tex]

[tex]a = 528m^{2} [/tex]

Triangle:

[tex]a = \frac{b \times h}{2} [/tex]

[tex]a = \frac{(48) \times (10)}{2} [/tex]

[tex]a = \frac{480}{2} [/tex]

[tex]a = 240m^{2} [/tex]

Add them together:

[tex]528m^{2} + 240m^{2} = 768m^{2} [/tex]

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)

Answers

Answer:

0.49

Step-by-step explanation:

We apply conditional probability to solve this question.

We have Events X and Events Y

P(X) = Probability Christine fails the course = ??? Unknown

P(Y) = Probability Christine finds a tutor

= 0.35

P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75

P(X|Y) = Decrease in her probability of failing = 0.35

P(X|Y') = Probability that she will fail the course if she does not have a tutor

P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')

P(X) = 0.35 × 0.75 + 0.65 × 0.35

P(X) = 0.2625 + 0.2275

P(X) = 0.49

The probability that Christine fails the course is 0.49

Which of the following have a value equal to |37|? Select all that apply.

A. –37

B. |–37|

C. 0

D. –(–37)

E. 37

Answers

Answer:

B, D, E

Step-by-step explanation:

Absolute value is always positive so the absolute value of 37 is 37.

and |-37| would equal 37.

HOpe this helps!!

PLEASE ANSWER ASAP I ONLY HAVE 30 MINUTES please

Answers

can you add a picture of the triangles that it’s talking abt

Pls put a pic of the triangles so I can it Thxs

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