Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:
where 
are the values that the variable can take and 
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:
Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:
Where 
So, the variance V(x) is equal to:
Finally, the standard deviation is calculated as:
Answer:
186
Step-by-step explanation:
Cut it 6+7+11=24×5=120
6+11=66
120+66=186
Answer:
They're a lot like 104, 212, 526, 618 etc
Step-by-step explanation:
104÷2=52
104÷10=10 with a remainder 4
212÷2=106
212÷10=21 with a remainder 2
526÷2=263
526÷10=52 with a remainder 6
618÷2=309
618÷10=61 with a remainder of 8
The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².
<h3>What is the Area of a Circle?</h3>
Area of a circle = πr² (radius of the circle = r).
Given the following:
- Radius of sphere = 8 cm
- Distance of the plane from the center of the sphere = 7 cm
Radius of the circle = √((radius of sphere)² - (distance of the plane from the center of sphere²)) = √(8² - 7²)
Radius of the circle = 3.87 cm
Area of the circle = π(3.87²) ≈ 15π cm².
Learn more about the area of a circle on:
brainly.com/question/15265467
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