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hram777 [196]
3 years ago
13

Please help me!! I don't know how to do this

Mathematics
1 answer:
trapecia [35]3 years ago
4 0
Your answer is c hope I helped
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g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th
xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

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}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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

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

Sampling with replacement:

I consider a success choosing a black ball, so p = \frac{50}{150+50} = \frac{50}{200} = 0.25

We want 2 black balls and 2 white, 2 + 2 = 4, so n = 4, and we want P(X = 2).

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

P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so N = 200

Sample of 4, so n = 4

50 are black, so k = 50

We want P(X = 2).

P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

3 0
3 years ago
Which of the following is an equivalent trig ratio for sin 60.
Liono4ka [1.6K]

Answer:

it sin 60

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jose can read 7 pages of his book in5 minutes. at this rate, how long will it take him to read the entire 175-page book?
Lera25 [3.4K]
Since 7 pages could be in 5 min.
So time required by 1 page 5/7 min.
So time required by 175 pages =175×5/7=125 min.
= 2 hours and 5minutes
8 0
3 years ago
Can someone please help me with this I will also give brainliest.​
Sindrei [870]

Answer:

C) 3*10^6

Step-by-step explanation:

Divide the two numbers:

(6*10^-2)/(2*10^-8)=6/2*(10^-2/10^-8)=3*10^(-2-(-8))=3*10^(-2+8)=3*10^6

So C is correct

8 0
3 years ago
Read 2 more answers
Which graph shows the solution to the inequality -3x-7<20
Anestetic [448]

Answer:

-9 < x

Step-by-step explanation:

-3x - 7 < 20

+ 7 + 7

___________

-3x < 27

___ ___

-3 -3

x > -9 [Whenever you <em>divide</em><em> </em>or <em>multiply</em><em> </em>by a negative, reverse the inequality symbol.]

The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

6 0
3 years ago
Read 2 more answers
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