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Bad White [126]
3 years ago
9

I’m not sure ???????????

Mathematics
1 answer:
ad-work [718]3 years ago
4 0
The picture is omitting the question
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Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o
NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so \pi = 0.8.

(a) What is the probability she gets an A?

There are four problems, so n = 4

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find P(X \geq 3)

P(X \geq 3) = P(X = 3) + P(X = 4)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096

P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096

P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so n = 3

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find P(X \geq 2)

P(X \geq 3) = P(X = 2) + P(X = 3)

P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384

P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512

P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

3 0
3 years ago
Grace bought a television for $329 and some DVDs for $5.75 each. Write and equations to find out how many DVDs grace bought if s
marishachu [46]

The total number of DVDs that she bough is 6

<h3>Linear equations</h3>

Linear equation are expression that has a leading degree of 1.

Let the price of each DVD be x such that if Grace bought a television for $329 and some DVDs for $5.75 each  and spent a total of $363.50, ten;

329 + 5.75x = 363.5

Subtract 329 from both sides

329 + 5.75x - 329 = 363.5 - 329

5.75x = 34.5

x = 34.5/5.75

x = 6

This shows that the total number of DVDs that she bough is 6

Learn more on linear equation here: brainly.com/question/2030026

#SPJ1

3 0
2 years ago
Very canfused need help
Dvinal [7]
First, find 1/2 of 3. That is 1.5 gallons. Since there are 4 quarts in a gallon, do 1.5*4 to get 6.
8 0
3 years ago
Read 2 more answers
A cylinder has a height of 7 inches and a radius of 14 inches. What is its volume? Use a
icang [17]

Answer: Volume is 4308.1 in³

Step-by-step explanation: Volume is  pii· r²·h = 3.14 · (14 in)²·7 in

3 0
2 years ago
Sue graphed the formula for converting temperatures from Fahrenheit to Celsius. A graph titled Temperature Conversion has Degree
elena-14-01-66 [18.8K]

Answer:

10 degrees Celsius

Step-by-step explanation:

Since the line goes through point (50, 10) and x represents Fahrenheit, y represents Celsius, then 50 F= 10 C

4 0
3 years ago
Read 2 more answers
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