7 example of independent event 8 pieces of fruit are drawn twice with replacement what is P

Mathematics

1 answer:

kow [346]3 years ago

8 0

Answer:

rolling two number cubes

2/25

Step-by-step explanation:

Events A and B are said to be statistically independent if the probability of A happening, P(A), in no way affects the probability of event B occurring, P(B);

P(A∩B) = P(A) P(B)

If A and B are independent the above equation is always true.

From the list given, rolling two number cubes is an example of independent events since the outcome from the first cube does not affect the outcome of the second cube.

We are informed the bag contains 4 apples, 1 plum, 2 apricots, and 3 oranges. We are required to determine the following probability;

P(Apple then Apricot) given that the fruits are drawn with replacement.

The probability of drawing an apple from the bag is;

(number of apples)/(total number of fruits)

= 4/10 = 2/5

The probability of drawing an apricot from the bag given that the apple drawn is replaced is;

(number of apricots)/(total number of fruits)

= 2/10 = 1/5

Now, P(Apple then Apricot) = 2/5 * 1/5 = 2/25

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Need help figuring this equation 1/12c =.6

soldi70 [24.7K]

1/12c = 0.6

To remove a fraction you simply multiply it by its inverse fraction (take the original fraction and flip it! So, multiply it by 12/1 (which is the same as saying 12).

12(1/12c) = 0.6*12

The 12 cancels out leaving this:

c = 0.6 * 12
c = 7.2

If you don't have or are allowed to use a calculator. To compute that you simply make 0.6 into a fraction then multiply the numerator by 12. .6 is in the tenths place so you can write it like this:
6/10 simplifying it becomes, 3/5

3/5 * 12 = 36/5

Now! That was assuming 1/12c was written like this:
(1/12)c = 0.6

If it was actually written like this:
1/(12c) = 0.6 then you'll do this.

Multiply 0.6 by 12c. Which will get you 7.2c. After that you need to get c alone, so you divide both sides by 7.2. Yielding the result:

1/7.2 = c

c = 0.1389...

5 0

3 years ago

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

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

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