Answer:
The required probability is
or
.
Step-by-step explanation:
Consider the provided information.
A committee of 9 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis,
The probability of yea or nay vote is equal, = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
So, we can say that ![p=q=\frac{1}{2}](https://tex.z-dn.net/?f=p%3Dq%3D%5Cfrac%7B1%7D%7B2%7D)
Use the formula: ![P(x)=\binom{n}{x}p^xq^{n-x}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cbinom%7Bn%7D%7Bx%7Dp%5Exq%5E%7Bn-x%7D)
Where n is the total number of trials, x is the number of successes, p is the probability of getting a success and q is the probability of failure.
We want proposal wins by a vote of 7 to 2, that means the value of x is 7.
Substitute the respective values in the above formula.
![P(x)=\binom{9}{7}(\frac{1}{2})^7(\frac{1}{2})^{9-7}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cbinom%7B9%7D%7B7%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E7%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B9-7%7D)
![P(x)=\frac{9!}{7!2!}(\frac{1}{2})^7(\frac{1}{2})^{2}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cfrac%7B9%21%7D%7B7%212%21%7D%28%5Cfrac%7B1%7D%7B2%7D%29%5E7%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D)
![P(x)=\frac{8\times9}{2}\times(\frac{1}{2})^9](https://tex.z-dn.net/?f=P%28x%29%3D%5Cfrac%7B8%5Ctimes9%7D%7B2%7D%5Ctimes%28%5Cfrac%7B1%7D%7B2%7D%29%5E9)
![P(x)=\frac{4\times9}{2^9}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cfrac%7B4%5Ctimes9%7D%7B2%5E9%7D)
![P(x)=\frac{9}{2^7}](https://tex.z-dn.net/?f=P%28x%29%3D%5Cfrac%7B9%7D%7B2%5E7%7D)
or ![P(x)=0.0703125](https://tex.z-dn.net/?f=P%28x%29%3D0.0703125)
Hence, the required probability is
or
.
The semi-annual net cash flow that the company must achieve in order for the purchase to be made is $5041.
<h3>How to calculate the cash flow?</h3>
Maximum amount that can be invested = $32348.
Less: Present value of salvage value = $5927
Present value of cash inflow = $32348 - $5927 = $26421.
Net cash flow will be:
= $26421 / PV factor
= $26421/5.242
= $5041
In conclusion, the correct option is $5041.
Learn more about cash flow on:
brainly.com/question/735261
Answer:
1.66666666667
Step-by-step explanation:
Answer:
m = -1/5
Step-by-step explanation:
Slope is - 1/5
Answer:
The answer is 71 miles
Step-by-step explanation:
According to the decimal rule, the Monday's 12.3 will be rounded off to 12,Tuesday 14.1 will be rounded off to 14, Wednesday 17.7 will be rounded off to 18 as .7 is greater than .5,Thursday 11.8 is rounded off to 12 and Friday to 15
To calculate how far she biked in all in five days we add all the distances she covered every day.So,
12 miles+14 miles+18 miles+12 miles+15 miles= 71 miles.