Answer:
Step-by-step explanation:
What graph
The answer would be 254,340,000
Answer:
Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63
Step-by-step explanation:
78/2 = 39
(Angle 2/2 = Angle 1)
78 - 15 = 63
(Angle 2 - 15 = Angle 3)
39 + 78 + 63 = 180
(Angle 1 + Angle 2 + Angle 3 = 180)
Answer:
(a) ![P(x\le 3) = 0.75](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%200.75)
(b) ![P(x\le 3) = 0.75](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%200.75)
<em>(b) is the same as (a)</em>
(c) ![P(x \ge 5) = 0.10](https://tex.z-dn.net/?f=P%28x%20%5Cge%205%29%20%3D%200.10)
(d) ![P(x = 1\ or\ 2) = 0.55](https://tex.z-dn.net/?f=P%28x%20%3D%201%5C%20or%5C%202%29%20%3D%200.55)
(e) ![P(x > 2) = 0.45](https://tex.z-dn.net/?f=P%28x%20%3E%202%29%20%3D%200.45)
Step-by-step explanation:
Given
![\begin{array}{ccccccc}{CDs} & {1} & {2} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.30} & {0.25} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccccccc%7D%7BCDs%7D%20%26%20%7B1%7D%20%26%20%7B2%7D%20%26%20%7B3%7D%20%26%20%7B4%7D%20%26%20%7B5%7D%20%26%20%7B6%5C%20or%5C%20more%7D%5C%20%5C%5C%20%7BProb%7D%20%26%20%7B0.30%7D%20%26%20%7B0.25%7D%20%26%20%7B0.20%7D%20%26%20%7B0.15%7D%20%26%20%7B0.05%7D%20%26%20%7B0.05%7D%5C%20%5C%20%5Cend%7Barray%7D)
Solving (a): Probability of 3 or fewer CDs
Here, we consider:
![\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%7BCDs%7D%20%26%20%7B1%7D%20%26%20%7B2%7D%20%26%20%7B3%7D%20%5C%20%5C%5C%20%7BProb%7D%20%26%20%7B0.30%7D%20%26%20%7B0.25%7D%20%26%20%7B0.20%7D%20%5C%20%5C%20%5Cend%7Barray%7D)
This probability is calculated as:
![P(x\le 3) = P(1) + P(2) + P(3)](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%20P%281%29%20%2B%20P%282%29%20%2B%20P%283%29)
This gives:
![P(x\le 3) = 0.30 + 0.25 + 0.20](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%200.30%20%2B%200.25%20%2B%200.20)
![P(x\le 3) = 0.75](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%200.75)
Solving (b): Probability of at most 3 CDs
Here, we consider:
![\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccc%7D%7BCDs%7D%20%26%20%7B1%7D%20%26%20%7B2%7D%20%26%20%7B3%7D%20%5C%20%5C%5C%20%7BProb%7D%20%26%20%7B0.30%7D%20%26%20%7B0.25%7D%20%26%20%7B0.20%7D%20%5C%20%5C%20%5Cend%7Barray%7D)
This probability is calculated as:
![P(x\le 3) = P(1) + P(2) + P(3)](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%20P%281%29%20%2B%20P%282%29%20%2B%20P%283%29)
This gives:
![P(x\le 3) = 0.30 + 0.25 + 0.20](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%200.30%20%2B%200.25%20%2B%200.20)
![P(x\le 3) = 0.75](https://tex.z-dn.net/?f=P%28x%5Cle%203%29%20%3D%200.75)
<em>(b) is the same as (a)</em>
<em />
Solving (c): Probability of 5 or more CDs
Here, we consider:
![\begin{array}{ccc}{CDs} & {5} & {6\ or\ more}\ \\ {Prob} & {0.05} & {0.05}\ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7D%7BCDs%7D%20%26%20%7B5%7D%20%26%20%7B6%5C%20or%5C%20more%7D%5C%20%5C%5C%20%7BProb%7D%20%26%20%7B0.05%7D%20%26%20%7B0.05%7D%5C%20%5C%20%5Cend%7Barray%7D)
This probability is calculated as:
![P(x \ge 5) = P(5) + P(6\ or\ more)](https://tex.z-dn.net/?f=P%28x%20%5Cge%205%29%20%3D%20P%285%29%20%2B%20P%286%5C%20or%5C%20more%29)
This gives:
![P(x\ge 5) = 0.05 + 0.05](https://tex.z-dn.net/?f=P%28x%5Cge%205%29%20%3D%200.05%20%2B%200.05)
![P(x \ge 5) = 0.10](https://tex.z-dn.net/?f=P%28x%20%5Cge%205%29%20%3D%200.10)
Solving (d): Probability of 1 or 2 CDs
Here, we consider:
![\begin{array}{ccc}{CDs} & {1} & {2} \ \\ {Prob} & {0.30} & {0.25} \ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccc%7D%7BCDs%7D%20%26%20%7B1%7D%20%26%20%7B2%7D%20%5C%20%5C%5C%20%7BProb%7D%20%26%20%7B0.30%7D%20%26%20%7B0.25%7D%20%5C%20%5C%20%5Cend%7Barray%7D)
This probability is calculated as:
![P(x = 1\ or\ 2) = P(1) + P(2)](https://tex.z-dn.net/?f=P%28x%20%3D%201%5C%20or%5C%202%29%20%3D%20P%281%29%20%2B%20P%282%29)
This gives:
![P(x = 1\ or\ 2) = 0.30 + 0.25](https://tex.z-dn.net/?f=P%28x%20%3D%201%5C%20or%5C%202%29%20%3D%200.30%20%2B%200.25)
![P(x = 1\ or\ 2) = 0.55](https://tex.z-dn.net/?f=P%28x%20%3D%201%5C%20or%5C%202%29%20%3D%200.55)
Solving (e): Probability of more than 2 CDs
Here, we consider:
![\begin{array}{ccccc}{CDs} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccccc%7D%7BCDs%7D%20%26%20%7B3%7D%20%26%20%7B4%7D%20%26%20%7B5%7D%20%26%20%7B6%5C%20or%5C%20more%7D%5C%20%5C%5C%20%7BProb%7D%20%26%20%7B0.20%7D%20%26%20%7B0.15%7D%20%26%20%7B0.05%7D%20%26%20%7B0.05%7D%5C%20%5C%20%5Cend%7Barray%7D)
This probability is calculated as:
![P(x > 2) = P(3) + P(4) + P(5) + P(6\ or\ more)](https://tex.z-dn.net/?f=P%28x%20%3E%202%29%20%3D%20P%283%29%20%2B%20P%284%29%20%2B%20P%285%29%20%2B%20P%286%5C%20or%5C%20more%29)
This gives:
![P(x > 2) = 0.20+ 0.15 + 0.05 + 0.05](https://tex.z-dn.net/?f=P%28x%20%3E%202%29%20%3D%200.20%2B%200.15%20%2B%200.05%20%2B%200.05)
![P(x > 2) = 0.45](https://tex.z-dn.net/?f=P%28x%20%3E%202%29%20%3D%200.45)