Answer:
0.9646 ; 0.5685
Step-by-step explanation:
Given that :
P(obtaining 3 on a die roll) = 1/6 = 0.1667
Obtaining 3 at most 2 times in five trials
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
n = 5 ;, p = 0.1667
P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)
Using the binomial probability :
P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608
P(x ≤ 2) = 0.9646
B.) using geometric distribution :
(1 - p)^x-1 * p
P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)
1 - (0.1667 + 0.1157+0.0965+0.0804)
= 0.5685
Answer:

Step-by-step explanation:
<em>See comment for complete question</em>
Given
30% in 12 minutes
Required
Time to complete the homework
From the question: m represents the required minutes
This implies that:

Convert to decimal


Hence:
The equation is: 
They are all in the same shape just some are flipped i don’t know if that’s what they mean though
Answer:
- When Three sides of the triangle are known
- Two sides of the triangle is known and corresponding angle is included
- Two angles known and their included side given
- Two angles known and the length of a non included side is given
Step-by-step explanation:
The measure that will determine a unique triangle are
- when Three sides of the triangle are known
- Two sides of the triangle is known and their corresponding angle is included
- Two angles known and their included side given
- Two angles known and the length of a non included side is given
unique triangles are termed unique because they can be drawn only using one way
Answer:
20.25
Step-by-step explanation: