Step-by-step explanation:
dnxjdjedjxkdkdkxkxmxmdmxmcmcmxmxm cxvfbfb cfbfbfbfbt xswzxvt
The answer is 6, reaosn is because 6/8 is not simplified, so if we divide both sides by 2 (the numerator and the denominator), we can get a simplified fraction, which is 3/4. Steps: 6/8, 6 divided by 2/8 divided by 2, 3/4.
Hope this helped!
Nate
Answer:
(a) 0.28347
(b) 0.36909
(c) 0.0039
(d) 0.9806
Step-by-step explanation:
Given information:
n=12
p = 20% = 0.2
q = 1-p = 1-0.2 = 0.8
Binomial formula:
![P(x=r)=^nC_rp^rq^{n-r}](https://tex.z-dn.net/?f=P%28x%3Dr%29%3D%5EnC_rp%5Erq%5E%7Bn-r%7D)
(a) Exactly two will be drunken drivers.
![P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}](https://tex.z-dn.net/?f=P%28x%3D2%29%3D%5E%7B12%7DC_%7B2%7D%280.2%29%5E%7B2%7D%280.8%29%5E%7B12-2%7D)
![P(x=2)=66(0.2)^{2}(0.8)^{10}](https://tex.z-dn.net/?f=P%28x%3D2%29%3D66%280.2%29%5E%7B2%7D%280.8%29%5E%7B10%7D)
![P(x=2)=\approx 0.28347](https://tex.z-dn.net/?f=P%28x%3D2%29%3D%5Capprox%200.28347)
Therefore, the probability that exactly two will be drunken drivers is 0.28347.
(b)Three or four will be drunken drivers.
![P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)](https://tex.z-dn.net/?f=P%28x%3D3%5Ctext%7B%20or%20%7Dx%3D4%29%3DP%28x%3D3%29%5Ccup%20P%28x%3D4%29)
![P(x=3\text{ or }x=4)=P(x=3)+P(x=4)](https://tex.z-dn.net/?f=P%28x%3D3%5Ctext%7B%20or%20%7Dx%3D4%29%3DP%28x%3D3%29%2BP%28x%3D4%29)
Using binomial we get
![P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}](https://tex.z-dn.net/?f=P%28x%3D3%5Ctext%7B%20or%20%7Dx%3D4%29%3D%5E%7B12%7DC_%7B3%7D%280.2%29%5E%7B3%7D%280.8%29%5E%7B12-3%7D%2B%5E%7B12%7DC_%7B4%7D%280.2%29%5E%7B4%7D%280.8%29%5E%7B12-4%7D)
![P(x=3\text{ or }x=4)=0.236223+0.132876](https://tex.z-dn.net/?f=P%28x%3D3%5Ctext%7B%20or%20%7Dx%3D4%29%3D0.236223%2B0.132876)
![P(x=3\text{ or }x=4)\approx 0.369099](https://tex.z-dn.net/?f=P%28x%3D3%5Ctext%7B%20or%20%7Dx%3D4%29%5Capprox%200.369099)
Therefore, the probability that three or four will be drunken drivers is 0.3691.
(c)
At least 7 will be drunken drivers.
![P(x\geq 7)=1-P(x](https://tex.z-dn.net/?f=P%28x%5Cgeq%207%29%3D1-P%28x%3C7%29)
![P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5BP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29%2BP%28x%3D6%29%5D)
![P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.06872%2B0.20616%2B0.28347%2B0.23622%2B0.13288%2B0.05315%2B0.0155%5D)
![P(x\leq 7)=1-[0.9961]](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D1-%5B0.9961%5D)
![P(x\leq 7)=0.0039](https://tex.z-dn.net/?f=P%28x%5Cleq%207%29%3D0.0039)
Therefore, the probability of at least 7 will be drunken drivers is 0.0039.
(d) At most 5 will be drunken drivers.
![P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)](https://tex.z-dn.net/?f=P%28x%5Cleq%205%29%3DP%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29)
![P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315](https://tex.z-dn.net/?f=P%28x%5Cleq%205%29%3D0.06872%2B0.20616%2B0.28347%2B0.23622%2B0.13288%2B0.05315)
![P(x\leq 5)=0.9806](https://tex.z-dn.net/?f=P%28x%5Cleq%205%29%3D0.9806)
Therefore, the probability of at most 5 will be drunken drivers is 0.9806.
Answer: uh.. 3?
Step-by-step explanation:
lol
Hey there! :)
JK ≈ RS
Scale Factor = 9/7
JK = 56
<u>56</u> · <u>9</u> = <u>504</u> = 72
1 7 = 7
Your answer ⇒ B.72
Hope this helps :)