Answer: The required probability is 0.32.
Step-by-step explanation:
Since we have given that
Probability of winning team A over B = 0.7
Probability of losing team A over B = 0.3
Number of matches = 7"
So, using the "Binomial distribution" :
We get that
![P(X=5)=^7C_5(0.7)^5(0.3)^2=0.32](https://tex.z-dn.net/?f=P%28X%3D5%29%3D%5E7C_5%280.7%29%5E5%280.3%29%5E2%3D0.32)
Hence, the required probability is 0.32.
Answer: 26
Step-by-step explanation:
32-6 = 26
Answer:
(L-a)/d + 1 = n
Step-by-step explanation:
Let's isolate (n-1), and after that isolate n:
1) subtract a from both sides: L - a = (n-1)d
2) Divide both sides by d: (L-a)/d = n-1
3) Add 1 to both sides, to isolate n: (L-a)/d + 1 = n
Answer:
Should be 2, -5
Step-by-step explanation:
you flip –2, 5 along y axis, then get 2, 5
then flip 2, 5 along x axis and get 2, -5
feel free to correct
1.5 minutes = 90 second
The probability density function is
![f_X(x)=\begin{cases}\dfrac1{200-30}=\dfrac1{170}&\text{for }30\le x\le200\\\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=f_X%28x%29%3D%5Cbegin%7Bcases%7D%5Cdfrac1%7B200-30%7D%3D%5Cdfrac1%7B170%7D%26%5Ctext%7Bfor%20%7D30%5Cle%20x%5Cle200%5C%5C%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
so the probability of interest is
![\mathbb P(X>90)=\displaystyle\int_{90}^\infty f_X(x)\,\mathrm dx](https://tex.z-dn.net/?f=%5Cmathbb%20P%28X%3E90%29%3D%5Cdisplaystyle%5Cint_%7B90%7D%5E%5Cinfty%20f_X%28x%29%5C%2C%5Cmathrm%20dx)
![\mathbb P(X>90)=\dfrac1{170}\displaystyle\int_{90}^{200}\mathrm dx](https://tex.z-dn.net/?f=%5Cmathbb%20P%28X%3E90%29%3D%5Cdfrac1%7B170%7D%5Cdisplaystyle%5Cint_%7B90%7D%5E%7B200%7D%5Cmathrm%20dx)