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MrRa [10]
3 years ago
8

The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probabili

ty of both events occurring, in that order?
A. P(A + B)
B. P(A) • P(B)
C. P(A) + P(B)
D. P(A x B)
Mathematics
2 answers:
Ilya [14]3 years ago
4 0
D. P(A x B)

To work out the success of both events you have to multiply them together. I'd seriously reccomend learning this rule as it's very important later on in mathematics as it's basically the foundation of all probability statistics.
neonofarm [45]3 years ago
4 0

Answer:  The correct option is (B) P(A) • P(B).

Step-by-step explanation:  Given that the probability for success of an event is P(A) and the probability of success of a second event is P(B).

We are to find the probability of both events occurring, in that order.

We know that

if two events are independent of each other, then the probability of the intersection of the two events is given by the product of the probabilities of the events.

Here, the event that both events occur is given by (A ∩ B).

And, so the probability of both events occurring, in that order will be

P(A\cap B)=P(A).P(B).

Thus, the required probability is P(A) • P(B).

Option (B) is CORRECT.

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sergey [27]
<span>      r+5                 </span><span>r^2+4r-21
</span><span>-------------- /   --------------------
r^2+5r-14               </span><span>r-2

</span>          r+5                     r-2
= --------------  x   --------------------
    r^2+5r-14           r^2+4r-21

          r+5                     r-2
= --------------  x   --------------------
    (r+7)(r-2)           (r+7)(r-3)


          r+5                     
= -----------------
    (r+7)^2 (r-3)           
7 0
3 years ago
Plz help!! A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was r
Inessa [10]

Answer:

To calculate the relative frequency, first we need to know what exactly is and how to calculate it.

Relative frequency is the ratio between the absolute frequency (how many repetitions have a specific outcome) and the total outcomes. Also, this type of frequency is used to show the representation that some data have over the whole distribution.

So, in this case, we need to just divide 13, which belongs to red marble's results, to 60 which is the total outcomes, as it's presented:

         13redmarble                                                                                                                       Fr = -------------------------

       60 totalmarbles  

Normally, relative frequency is shown as a percentage multiplying this result by 100. Therefore, 22% is the approximate percentage of the relative frequency, which means that 22% is the representation of red marbles outcomes of the whole distribution, or we can say it as a probability: there's 22% of chances when someone extract a marble, it will be red.

3 0
2 years ago
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aleksley [76]

Answer:

Step-by-step explanation:

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8 0
3 years ago
A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80
aliya0001 [1]

Answer:

P(X

And we can find this probability with the normal standard distirbution or excel and we got:

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

X \sim N(80,5)  

Where \mu=80 and \sigma=5

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability with the normal standard distirbution or excel and we got:

P(z

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Nadusha1986 [10]
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Every hour she vacuumed 13 cars.
7 0
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