Answer:
magnitude=4.47214
radicle form=20
please mark as brainliest:)
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. ![$P(x) \geq 0$](https://tex.z-dn.net/?f=%24P%28x%29%20%5Cgeq%200%24)
2. ![$\sum_z P(x) = 1$](https://tex.z-dn.net/?f=%24%5Csum_z%20P%28x%29%20%3D%201%24)
Now consider,
![$\sum_z P(x) = 1$](https://tex.z-dn.net/?f=%24%5Csum_z%20P%28x%29%20%3D%201%24)
⇒ ![$P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$](https://tex.z-dn.net/?f=%24P%28x%3D0%29%2BP%28x%3D1%29%2BP%28x%3D2%29%2BP%28x%3D3%29%2BP%28x%3D4%29%2BP%28x%3D5%29%3D1%24)
⇒ ![$0.61+T+0.14+0.01+0.01+0.03=1$](https://tex.z-dn.net/?f=%240.61%2BT%2B0.14%2B0.01%2B0.01%2B0.03%3D1%24)
⇒ ![$0.8+T=1$](https://tex.z-dn.net/?f=%240.8%2BT%3D1%24)
⇒ ![$T=1-0.8$](https://tex.z-dn.net/?f=%24T%3D1-0.8%24)
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.
<u>Let's calculate theor individual work rate</u> :
Felix's rate = 1/90
Oscar's rate = 1/120
Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360
<u>Time taken for both of the to decorate 8 dozens</u> :
Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes
<u>Hence, the time taken to decorate 16 dozens will be</u> :
(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).
Learn more :brainly.com/question/18796573