Answer:
a) 0.2316 = 23.16% probability that 0 carry intestinal parasites.
b) 0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.
Step-by-step explanation:
For each trout, there are only two possible outcomes. Either they carry intestinal parasites, or they do not. Trouts are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
You know that in a specific population of rainbow trout 15% of the individuals carry intestinal parasites.
This means that [tex]p = 0.15[/tex]
Assume you obtain a random sample of 9 individuals from this population:
This means that [tex]n = 9[/tex]
a. Calculate the probability that __ (last digit of your ID number) carry intestinal parasites.
Last digit is 0, so:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]
0.2316 = 23.16% probability that 0 carry intestinal parasites.
b. Calculate the probability that at least two individuals carry intestinal parasites.
This is
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.15)^{0}.(0.85)^{9} = 0.2316[/tex]
[tex]P(X = 1) = C_{9,1}.(0.15)^{1}.(0.85)^{8} = 0.3679[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.2316 + 0.3679 = 0.5995[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5995 = 0.4005[/tex]
0.4005 = 40.05% probability that at least two individuals carry intestinal parasites.
We will see that the probabilities are:
a) 3.8*10^-8b) 0.26How to find the probability.
We know that 15% of the population have the parasites, then if we take a trout at random we have:
a probability of 0.15 that it has parasites.a probability of 0.85 that it does not have parasites.a) The probability that 9 of them carry intestinal parasites (so all of them have).
This is just the product of the individual probabilities, so we have 9 times a probability of 0.15, this gives:
P(9) = (0.15)^9 = 3.8*10^-8
b) Probability that 2 out of 9 have parasites.
Then we have 0.15 two times, and 0.85 seven times.
But we also need to take in account the permutations, the different groups of 2 trouts that we can make out of 9 trouts is given by:
[tex]C(9, 2) = \frac{9!}{(9-2)!*2!} = \frac{9*8}{2} = 36[/tex]
This means that there are 36 different pairs of 2 trouts that can be the ones with parasites.
Then the probability that 2 trouts have parasites is:
P(2) = 36*(0.15)^2*(0.85)^7 = 0.26
And just to be complete, the probabilty that x trouts have parasites is:
P(x) = C(9, x)*(0.15)^x*(0.85)^(9 - x)
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Which is the smallest tow rope needed to pull an 8000 N pallet across a warehouse floor? Click the image to find the answer
10000 n
4000 n
24000 n
2700 n
Answer: force F = uN, u 0.34 and N = 8000 N also F = 2720 N, thus 4000 N is enough
It
Step-by-step explanation:
Answer:
10,000 i think....i hope this helps
Step-by-step explanation:
The pie chart below represents the vehicle types owned by families. If the total number of people surveyed is 1000, approximately how many own a van?
Answer:
500 families
Step-by-step explanation:
We want to estimate the size of the dark blue section of the chart. The chart looks like the left of the pie chart is split evenly with the dark blue section. So we estimate that each of those must represent 12 or 50% of the total number of families. Therefore,
0.50⋅1000=500
About 500 families own a van.
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Answer:
1
Step-by-step explanation:
helpppppp ill give brainliest answer if you know
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
14 + 6z - 10 + 9z equaled to?!
Answer:
4 + 15z
Step-by-step explanation:
Is your simplified expression.
Answer:
15z + 4
Step-by-step explanation:
6z + 9z = 15z14 - 10 = 4Put them together: 15z + 4I hope this helps!
NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT
Answer:
-9, -2, 14
Step-by-step explanation:
-1 is < 0 so plug it into the first function.
8(-1) -1 = -9
0 is ≥ 0 so plug it into the second function
8(0)-2 = -2
2 is ≥ 0 so plug it into the second function
8(2) - 2 = 14
Logan is going to invest $61,000 and leave it in an account for 20 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest
hundredth of a percent, would be required in order for Logan to end up with
$103,000?
Answer:
its 2.62
Step-by-step explanation:
Answer:
its 2.62
Step-by-step explanation:
Change 79/3 into a mixed number
Answer:
26 1/3
Step-by-step explanation:
I simplfied 79/3 on paper :)
Helpppppppppppppppp
Write an equation of the parabola shown.
Answer:
y = 0.1(x + 5)² + 1.5
Step-by-step explanation:
Equation of a parabola having vertex at (h, k) is given by,
y = a(x - h)² + k
From the given graph, vertex of the parabola is (-5, 1.5)
Therefore, equation of the parabola will be,
y = a(x + 5)² + 1.5
Since, this parabola passes through a point (0, 4)
4 = a(0 + 5)² + 1.5
4 = 25a + 1.5
25a = 2.5
a = 0.1
By substituting the value of 'a' in the equation of the parabola,
y = 0.1(x + 5)² + 1.5
Factor the follow expression:
8x−10
Select one:
2(x−5)
2(4x−5)
8(x−10)
2(4x−10)
Answer:
2(4x-5)
Step-by-step explanation:
find the greatest common factor (biggest number that goes into 8 and 10)
it is two
divide both by two
put 2 on the outside to symbolize that you multiply the inside by 2
2(4x-5)
Answer:
[tex]2(4x - 5)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
[tex]gcf = 2[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2( \frac{8x}{2} - \frac{10}{2} )[/tex]
3) Simplify each term in parentheses.
[tex]2(4x - 5)[/tex]
Therefor, the answer is Option B.
ANSWER ONE OF THESE FAST PLEASE!!!
Answer:
x7
Step-by-step explanation:
True or false - The only way to charge an object with static electricity is by rubbing it against another object.
Answer:
This is false
Step-by-step explanation:
can i get factors of 256
Step-by-step explanation:
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Hope it will help :)❤
Here the answer hope this helps:
factors of 256 are.... 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Step-by-step explanation:
hope this helps
need help with this question
Answer: 21
Step-by-step explanation:
HELP ASAP PLS!!
what is composite area?? How do we use it in the real world???
Answer:
A composite figure (or shape) is one that can be separated into more than one of the basic figures. Examples of using it in the real world is building cars or houses.
Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
HELP
Answer:
7
Step-by-step explanation:
did the question
The amount of money would be $6,880 in the account after 7 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given data as follows:
p = $5,300
r = 3.8%
A = $6,880
A = P(1+r/100)ⁿ
Substitute the values of p,r, and A in the formula,
6,880 = 5,300(1 + 3.8/100)ⁿ
6,880/5,300 = (1 + 0.038)ⁿ
1.2981 = (1.038)ⁿ
n = 6.9954
Rounded to the nearest digit, and we get
n = 7
Therefore, the amount of money would be $6,880 in the account after 7 years.
To learn more about Compound interest click here:
brainly.com/question/25857212
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10. Ayden travels from Orlando to Tampa to see his grandparents. If the trip is 897,600 feet round trip, how many miles does Ayden travel one way? A 85 miles B 170 miles C 255 miles D 340 miles 11. Jason bought 4.5 kilograms of cream me of cream?
What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11
Answer:
C IF NOT D
Step-by-step explanation:
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,
How much commission did Mrs. Montgomery earn last month?
What was her total pay for the month?
Round your answers to two decimal places.
try using the steps in my question i have one just like you
Step-by-step explanation:
30 POINTS FOR JUST ONE QUESTION :)
Answer:
maybe its a or c
Step-by-step explanation:
Answer:
D) 14,400
Step-by-step explanation:
trust me
Someone please help me and thank you:)
Answer:
D
Step-by-step explanation:
Answer:
n+4=32 models this scenario.
This is because n+4 would show how many students are originally in the class.
Let me know if this helps!
Both Amy and Ed travel 100 miles to their destination. They begin at the same
time, but Amy drives at 50 miles per hour and Ed drives at 40 miles per hour.
How much sooner will Amy arrive to the destination than Ed?
Answer:
Since there are two cars, each car, then, drove 104/2 = 52 miles. But one car is traveling 8 miles per hour faster.
Step-by-step explanation:
geometry question pls help!!!
Answer:
First option is the correct answer
Step-by-step explanation:
Multiply the area of the circle by [tex] \frac{360\degree - x}{360\degree} [/tex]
21m42n32p10
Зm 21n16 р5
Simplify
Step-by-step explanation:
meh dont knowPLS help
5 2/5 - 6 5/7
Answer:
1.2
Step-by-step explanation:
Given
52/5_65/7
10.4_ 9.28
1.2
how do i solve this and what is the answer?
Answer:
I totally get why you are asking , how do I solve this. there is so much implied about this
Step-by-step explanation:
1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B , so that's implied. next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B so that's 180 = 124 + 2A , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD. that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so ∠BAD = 62°
I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles and geometry, you are putting all of the parts together here. :/ kinda daunting in some ways.
answer pls>>>>>.
pls
Find the measure of the supplement of a
16° angle.
Answer:
164
Step-by-step explanation:
Hey There!
If they are supplementary angles then they will add up to equal 180
So given one of the angles (16) we subtract that from 180 to find the value of the missing angle
180-16=164
Your answer is 164
Hope this helps :)
Due NOW!!! Please help!
Answer:
At x = 7 and x= 1
Step-by-step explanation:
Set each equation equal to 0 and solve.
x - 7 = 0
x = 7
x-1 =0
x = 1