Since there is no mean, we need to first get the probability:
p = 11/ 65 = 0.1692
This will make it easier to compute for the interval estimate. Interval Estimate = probability ± margin of error
upper limit = 0.1692 + 0.025 = 0.1942
lower limit = 0.1692 - 0.025 = 0.1442
So the interval estimate is 0.1442 < x < 0.1942
Answer:
Step-by-step explanation:
Given
17 % of the drivers stopped have invalid licenses
n=24 drivers are stopped
using Binomial distribution
![^nC_r(p)^r(q)^{n-r}](https://tex.z-dn.net/?f=%5EnC_r%28p%29%5Er%28q%29%5E%7Bn-r%7D)
here p=0.17
q=1-0.17=0.83
(a)none will have valid license i.e. r=0
![P(r=0)^{24}C_0(0.17)^0(0.83)^{24}=(0.83)^{24}=0.0114](https://tex.z-dn.net/?f=P%28r%3D0%29%5E%7B24%7DC_0%280.17%29%5E0%280.83%29%5E%7B24%7D%3D%280.83%29%5E%7B24%7D%3D0.0114)
(b)Exactly one have invalid license i.e. r=1
![P(r=1)=^{24}C_1(0.17)^1(0.83)^{23}=24\times 0.17\times (0.83)^{23}](https://tex.z-dn.net/?f=P%28r%3D1%29%3D%5E%7B24%7DC_1%280.17%29%5E1%280.83%29%5E%7B23%7D%3D24%5Ctimes%200.17%5Ctimes%20%280.83%29%5E%7B23%7D)
![=0.0561](https://tex.z-dn.net/?f=%3D0.0561)
(c)At least 2 will have invalid license i.e. ![r\geq 2](https://tex.z-dn.net/?f=r%5Cgeq%202)
![P(r\geq 2)=1-P(r=0)-P(r=1)](https://tex.z-dn.net/?f=P%28r%5Cgeq%202%29%3D1-P%28r%3D0%29-P%28r%3D1%29)
![P(r\geq 2)=1-0.0114-0.0561](https://tex.z-dn.net/?f=P%28r%5Cgeq%202%29%3D1-0.0114-0.0561)
![P(r\geq 2)=0.932](https://tex.z-dn.net/?f=P%28r%5Cgeq%202%29%3D0.932)
Answer:
None of these choices are correct.
Step-by-step explanation:
The quoted value of 99.875, means that this bond is sold at 99.875% of the face value and not at a price of $99.875.
Therefore, calculate price;
Price = 0.99875 * 1000
Price = $998.75
Since brokerage fees is 5.5% of the selling price, Leona will pay additional cost to the quoted price making the total cost to be more than $998.75;
Brokerage fees = (0.055*998.75) = $54.93
Total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the choices is correct.
Answer:
Step-by-step explanation:
Angle ADC and angle CDJ are complementary. That means that they add up to equal 90 degrees. Therefore,
4x + 3x - 8 = 90 and
7x = 98 so
x = 14
Sub in a 14 for x in 3x - 8:
3(14) - 8 = 34
Angle CDJ = 34 degrees