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3 years ago

When you are determning the probability of an event why must the probability be between 0 and 1

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

Probability is the ratio of the desired events and all possible events. If there are no desired event probability is 0. This means this impossible event.

If the event is all possible event, the ratio is all possible event over all possible event so 1. This means this is certain event.

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At Denver International Airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Calculate th

Aleks [24]

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So 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.

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

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.

83% of recent flights have arrived on time.

This means that $p = 0.83$

A sample of 12 flights is studied.

This means that $n = 12$

Calculate the probability that all 12 flights were on time

This is P(X = 12).

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

$P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069$

10.69% probability that all 12 flights were on time

8 0

3 years ago

The sum of three consecutive odd numbers is 69. What are the three numbers?

n200080 [17]

Answer:

21, 23, 25

Step-by-step explanation:

Ok, so this one may seem a little tricky, so I'll try to explain it as best as I can. :)

So because they are consecutive odd numbers, that means they are odd numbers that are one after the other. This means each number is 2 apart from the next. So by using this, we know that there is a difference of 6 between the highest and lowest number. Now let's try and make an equation:

3o + 6 = 69

Now in order to get O by itself we have to subtract 6 from both sides:

3o = 63

Now we just have to divide by three on both sides:

o = 21

So now, we know that the lowest number is 21, but we have to add 2 to get 23, and then another 2 to get 25.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

The matrix below represents the solution to a system of equations.

konstantin123 [22]

Answer: C

Step-by-step explanation:

3 0

4 years ago

Solve the given equation over the interval [0, 2π): csc^2 x + 2 csc x = 0.

Anastaziya [24]

$csc^2x+2cscx=0$
Factor out the GCF which is csc x
$cscx(cscx+2)=0$
Set each factor equal to zero.
$cscx=0$ or $cscx+2=0$
Using the reciprocal sine function we can replace csc in the equations.
$\frac{1}{sinx} =0$ or $\frac{1}{sinx} +2=0$
The first equation yields 1 = 0 which is not true. However the second equation does offer 2 possible answers.
When solved for sinx you get $sinx=- \frac{1}{2}$
The sine function is negative in the 3rd and 4th quadrants.
You can use the unit circle or the $sin^-^1$ feature on your calculator $sin^-^1(1/2)$
$210^o or 330^o$ alter radian answer which is probably what you want is $\frac{7 \pi }{6} or \frac{11 \pi }{6}$

8 0

3 years ago

The distance that a object covered in time was measured and recorded in the table. What equation would describe this motion?

Ganezh [65]

Answer:

quizlet will give you the answer if you can't find it on brainly

Step-by-step explanation:

just search the problem-to show answer you have to either sign up...it's free..or log in. Hope I helped

5 0

3 years ago