Answer:
0.33 with the bar on top
Step-by-step explanation:
Answer:
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
Step-by-step explanation:
We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.
The probability of k online retail orders that turn out to be fraudulent in the sample is:
We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:
![P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483](https://tex.z-dn.net/?f=P%28x%5Cgeq2%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%5D%5C%5C%5C%5C%5C%5CP%28x%3D0%29%3D%5Cdbinom%7B20%7D%7B0%7D%5Ccdot0.08%5E%7B0%7D%5Ccdot0.92%5E%7B20%7D%3D1%5Ccdot1%5Ccdot0.189%3D0.189%5C%5C%5C%5C%5C%5CP%28x%3D1%29%3D%5Cdbinom%7B20%7D%7B1%7D%5Ccdot0.08%5E%7B1%7D%5Ccdot0.92%5E%7B19%7D%3D20%5Ccdot0.08%5Ccdot0.205%3D0.328%5C%5C%5C%5C%5C%5C%5C%5CP%28x%5Cgeq2%29%3D1-%5B0.189%2B0.328%5D%5C%5C%5C%5CP%28x%5Cgeq2%29%3D1-0.517%3D0.483)
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
<u>Answer:</u>
80
<u>Step-by-step explanation:</u>
(27-15):15*100 =
(27:15-1)*100 =
180-100 = 80
I hope this helped!
Sincerely,
Rekifromsk8theinfinity
:D
Answer:
5 is the answer
Step-by-step explanation:
hope this helps
Answer:
x = 4
Step-by-step explanation:
Solve for x:
12 x - 15 = 3 (2 x + 3)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the right hand side:
12 x - 15 = 6 x + 9
Hint: | Move terms with x to the left hand side.
Subtract 6 x from both sides:
(12 x - 6 x) - 15 = (6 x - 6 x) + 9
Hint: | Combine like terms in 12 x - 6 x.
12 x - 6 x = 6 x:
6 x - 15 = (6 x - 6 x) + 9
Hint: | Look for the difference of two identical terms.
6 x - 6 x = 0:
6 x - 15 = 9
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
6 x + (15 - 15) = 15 + 9
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
6 x = 9 + 15
Hint: | Evaluate 9 + 15.
9 + 15 = 24:
6 x = 24
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 24 by 6:
(6 x)/6 = 24/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 24/6
Hint: | Reduce 24/6 to lowest terms. Start by finding the GCD of 24 and 6.
The gcd of 24 and 6 is 6, so 24/6 = (6×4)/(6×1) = 6/6×4 = 4:
Answer: x = 4
