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ankoles [38]
3 years ago
15

WILL MARK BRAINLIEST PROBABILITY!!

Mathematics
1 answer:
Margarita [4]3 years ago
8 0

Answer:5/22

Step-by-step explanation:1/2+1/4+5(total-1 pink)=11/2

probability of getting purple=5/11/2,5/11*1/2=5/22

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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So
pshichka [43]

Answer:

There is a 32.22% probability that at least 3 flights arrive late.

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it arrives on time, or it arrives late. This means that we can solve this problem using binomial probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

There are 10 flights, so n = 10.

A success in this case is a flight being late.  80% of its flights arriving on time, so 100%-80% = 20% arrive late. This means that \pi = 0.2.

(a) Find the probability that at least 3 flights arrive late.

Either less than 3 flights arrive late, or at least 3 arrive late. The sum of these probabilities is decimal 1. This means that:

P(X < 3) + P(X \geq 3) = 1

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684

P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2684 + 0.3020 = 0.6778

Finally

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6778 = 0.3222

There is a 32.22% probability that at least 3 flights arrive late.

3 0
3 years ago
Find the perimeter of the figure below. Notice that one side length is not even.
Alecsey [184]
The answer is 46. the side length that is not even is 5ft because if you do the 13 - 8 you will get the missing side.
8 0
2 years ago
Find the solution of this system of equations<br> - 2x + 10y = -22<br> -2x - 4y = 6
LenaWriter [7]

Answer:

x = 1, y = -2

Step-by-step explanation:

- 2x + 10y = -22 _______(1)

-2x - 4y = 6 _______(2)

From (1),

10y + 22 = 2x

x = (10y + 22) / 2

x = 5y + 11 .______(3)

Substitute (3) into (2),

-2 ( 5y + 11) -4y = 6

-10y - 22 - 4y = 6

-14y = 6 + 22

-14y = 28

y = 28/ -14

y =-2

Substitute y = -2 into (3).

x = 5y + 11

x = 5(-2) + 11

x = -10 + 11

x = 1

Therefore, the solution is x = 1, y = -2.

3 0
3 years ago
Half of the students in Max's class volunteer at the local community center.Fifteen students do not volunteer.If there are 12 bo
yulyashka [42]
18 girls
Half of the students volunteer
15 don't -- so the other half must be 15 as well making there 30 students in the class.
If 12 are boys, then 30(students in class) - 12 (boys) = 18 girls
7 0
3 years ago
For the given term, find the binomial raised to the power , whose expansion it came from: 10a ^ 3 * b ^ 2 .
9966 [12]

Answer:

i dont know sorry

Step-by-step explanation:

7 0
3 years ago
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