Answer:
We have a binomial probability distribution, in which:
P(X = 0) = 0.064
P(X = 1) = 0.288
P(X = 2) = 0.432
P(X = 3) = 0.216
Step-by-step explanation:
For each flight, there are only two possible outcomes. Either it is for domestic travel, or it is for international travel. Flights are independent of each other. 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}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
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)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
Let x be the number of requests among the next three requests received that are for domestic flights.
3 flights, and 60% are for domestic travel. This means that
. The probabilities are given by:
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20C_%7B3%2C0%7D.%280.6%29%5E%7B0%7D.%280.4%29%5E%7B3%7D%20%3D%200.064)
![P(X = 1) = C_{3,1}.(0.6)^{1}.(0.4)^{2} = 0.288](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B3%2C1%7D.%280.6%29%5E%7B1%7D.%280.4%29%5E%7B2%7D%20%3D%200.288)
![P(X = 2) = C_{3,2}.(0.6)^{2}.(0.4)^{1} = 0.432](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B3%2C2%7D.%280.6%29%5E%7B2%7D.%280.4%29%5E%7B1%7D%20%3D%200.432)
![P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216](https://tex.z-dn.net/?f=P%28X%20%3D%203%29%20%3D%20C_%7B3%2C3%7D.%280.6%29%5E%7B3%7D.%280.4%29%5E%7B0%7D%20%3D%200.216)
Cosine is the second one the first one is Sine and the last one is tangent
The answer is $120, because you do;
0.40x = 48
YOU DIVIDE 48 ÷ 0.40 = 120
YOU'RE WELCOME ;)
Answer:
3/8
Step-by-step explanation:
you have to simplify the fractions
6/8-3/8
3/8
Answer:
The only option (0,0) is possible.
Step-by-step explanation:
Here in options four ordered pairs are given and they are (-3,-18), (-0.5,-3), (0,0) and (0.5,3).
Here, the x-values represent the number of books and the y-value represents the total weight of the books, in ounces.
Now, x must be 0 or a positive integer as it is the number of books.
Hence, the only option (0,0) is possible which means that the weight of zero books is zero. (Answer)