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disa [49]
4 years ago
10

An urn holds 5 white and 3 black marbles. if 2 marbles are to be drawn at random without replacement and x denotes the number of

white marbles, find the probability distribution for x

Mathematics
1 answer:
Sedbober [7]4 years ago
6 0

i = p(0) = \frac {3} {8} x \frac {2} {7} = \frac
{3} {28} ; p (1) = \frac {3} {8} x \frac {5} {7} + \frac {5} {8} x \frac {3}
{7} = \frac {15} {28}; p (2) = \frac {5} {8} x \frac {4} {7} = \frac {5} {14}


 

<span>(a)  </span>i. The probability mass function of X is 5 / 14

Hypergeometric Distribution is the probability distribution of a hypergeometric random variable.

The hypergeometric distribution is used to calculate the statistical importance of having drawn a specific k successes (out of n total draws) from the aforementioned population in the hypergeometric test uses.


ii. Please see attached image for the answer.

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A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
Rudik [331]
It takes 1 cup of flour.
8 0
3 years ago
Read 2 more answers
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid
NeX [460]

Options were not present in the question we are Stating below;

Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?

34 = 10 - 4x\\\\34 = 4 + 10x\\\\34 = 10 + 4x\\

Answer:

34 = 10 + 4x

Step-by-step explanation:

Given:

Amount customer paid = $34

Initial fee = $10

Hourly rate = $4

We need to write the equation used to find how many hours, x, the customer rented the bike.

Solution:

Let the number of hours customer rented the bike be 'x'.

Now we can say that;

Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.

framing in equation form we get;

34 =10+4x

Hence The equation used to find number of hours customer rented the bike is 34 =10+4x.

6 0
3 years ago
A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the followi
Stels [109]

Answer:

One of the balls is yellow: 0.36

At least one ball is red:0.73

Both balls are green:0.3

Both balls are of the same color:0.266

Step-by-step explanation:

To get the probability equally likely of choosing balls we use the following formula

P=# of possibilities that meet the condition / #of equally likely possibilities.

#of equally likely possibilities of the first experiment is 1+2+3=6

#of equally likely possibilities of the second experiment is 1+2+3 -1 =5 ( no replacement)

We choose 2 balls so we have to multiple  or add the probability of the 2 experiments,  that depends on the case

One of the balls is yellow:

1 experiment P{ One of the balls is yellow }= 1/6

2 experiment P{ One of the balls is yellow }= 1/5

P{ One of the balls is yellow }= 1/6+1/5=11/30

At least one ball is red:

1 experiment P{ One of the balls is red }= 2/6

2 experiment P{ One of the balls is red }= 2/5

P{ One of the balls is yellow }= 2/6+2/5=22/30

Both balls are green:

1 experiment P{ Both balls are green }= 3/6

2 experiment P{ Both balls are green }= 3/5

P{ Both balls are green }= 3/6*3/5=0.3

Both balls are of the same color

1 experiment P{ Both balls are green }= 3/6

2 experiment P{ Both balls are green }= 2/5

P{ Both balls are green }= 3/6*2/5=0.2

1 experiment P{ Both balls are red }= 2/6

2 experiment P{ Both balls are red }= 1/5

P{ Both balls are red }= 3/6*3/5=0.066

Both could happens so we add the probabilities

P{ Both balls are of the same color }=0.2+0.066=0.266

8 0
3 years ago
5.4 x 10 to the 3rd power to standard form
lutik1710 [3]

The answer is standard form is 5400.

<em>(Please mark this answer as Brainliest and leave a Thanks if I helped you!)</em>

4 0
3 years ago
Need help guys givin brainliest<br> fyi its tall not fall
poizon [28]

Answer:

5 feet tall.

Step-by-step explanation:

So, it gives us the ratio of the Statue of Liberty

1 inch wide for each 61 feet tall.

Then it gives us the tallness of the actual thing:

305 feet tall.

To find out how wide it is, we should be able to divide 305 by 61.

305/61 is 5.

5 0
3 years ago
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