The corresponding Venn Diagram for this issue is depicted below
P(E|F) and P(F|E) denote the conditional probabilities.
P(E|F) is calculated as P(E∩F) ÷ P(F) = ¹/₂ ÷ ¹/₂ = 1
P(F|E) is determined by P(F∩E) ÷ P(E) = ¹/₂ ÷ ¹/₂ = 1
Answer:
Step-by-step explanation:
Let c denote the total number of children present at the concert.
Let a indicate the total number of adults who attended the concert.
During one concert, every adult accompanied 4 children, while 10 children came unaccompanied. Therefore, the equation representing the children is
c = 4a + 10
The prices for tickets were set at $5 for each child and $8 for every adult. The overall revenue from ticket sales amounted to $1730. This generates the equation
5c + 8a = 1730
Consequently, the set of equations to find the number of children, c, and adults, a, that were present at the concert is
c = 4a + 10
5c + 8a = 1730
The response is:
The 95% CI for the variance in means is:
Here’s a detailed explanation:
The inquiry lacks sufficient information:
"Determine a 95% confidence interval on the difference in absorbency means from two manufacturing methods. Assume standard deviations derived from the data. Round to two decimal places."
For process 1:
- Sample size: 10
- Mean: 200
- SD: 15
For process 2:
- Sample size: 4
- Mean: 300
- SD: 50
The difference between sample means is:
The estimated standard deviation is:
The degrees of freedom calculated are:
For a 95% confidence interval, the t-value for 12 degrees of freedom is t=±2.179.
So, the confidence interval can be expressed as:
