Answer:
The probability of selling more than 2 properties in one week=0.9453
Step-by-step explanation:
We are given that
n=10
p=50%=0.50
q=1-p=1-0.50=0.50
We have to find the probability of selling more than 2 properties in one week.
Binomial probability distribution formula
![P(X=x)=nC_xp^{x}q^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3DnC_xp%5E%7Bx%7Dq%5E%7Bn-x%7D)
Using the formula
![P(x\geq 2)=10C_0(0.50)^{10}+10C_1(0.50)^{10}+10C_2(0.50)^{2}](https://tex.z-dn.net/?f=P%28x%5Cgeq%202%29%3D10C_0%280.50%29%5E%7B10%7D%2B10C_1%280.50%29%5E%7B10%7D%2B10C_2%280.50%29%5E%7B2%7D)
![P(x\leq 2)=\frac{10!}{0!10!}(0.50)^{10}+\frac{10\times 9!}{9!}(0.50)^{10}+\frac{10\times 9\times 8!}{2\times 1\times 8!}(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D%5Cfrac%7B10%21%7D%7B0%2110%21%7D%280.50%29%5E%7B10%7D%2B%5Cfrac%7B10%5Ctimes%209%21%7D%7B9%21%7D%280.50%29%5E%7B10%7D%2B%5Cfrac%7B10%5Ctimes%209%5Ctimes%208%21%7D%7B2%5Ctimes%201%5Ctimes%208%21%7D%280.50%29%5E%7B10%7D)
Using the formula
![nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=nC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
![P(x\leq 2)=(0.50)^{10}+10(0.50)^{10}+45(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D%280.50%29%5E%7B10%7D%2B10%280.50%29%5E%7B10%7D%2B45%280.50%29%5E%7B10%7D)
![P(x\leq 2)=(0.50)^{10}(1+10+45)](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D%280.50%29%5E%7B10%7D%281%2B10%2B45%29)
![P(x\leq 2)=56(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%5Cleq%202%29%3D56%280.50%29%5E%7B10%7D)
Now,
![P(x>2)=1-P(x\leq 2)](https://tex.z-dn.net/?f=P%28x%3E2%29%3D1-P%28x%5Cleq%202%29)
![P(x>2)=1-56(0.50)^{10}](https://tex.z-dn.net/?f=P%28x%3E2%29%3D1-56%280.50%29%5E%7B10%7D)
![P(x>2)=0.9453](https://tex.z-dn.net/?f=P%28x%3E2%29%3D0.9453)
Hence, the probability of selling more than 2 properties in one week=0.9453
Answer:
0.43
Step-by-step explanation:
It's easy if you think of 43% as a decimal if you base it off 100. For example lets write a fraction about it:
. A decimal you can think of the same way. 0.43 is the same as saying 43% of 100 or 43/100.
Answer : 2/3 or 0 R 6
Step-by-step explanation:
hope it helps
Answer:
x = 13
Step-by-step explanation:
7x = 91
91/7 = x
x = 13
The dimensions are multiplied by 2 so the volume is multiplied by 2^3 ( - 8)
The jumbo bos will contain 250 * 8 = 2,000 paperclips.