Answer:
a) 0.0016
b) 0.0224
Step-by-step explanation:
If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.
a)Find the probability she lucks out and answers all four questions correctly.
To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:
0.20 x 0.20 x 0.20 x 0.20 = 0.0016
The probability that she answers all 4 questions correctly is 0.0016.
b) Find the probability that she passes the quiz.
To pass the quiz, she has to have three OR 4 correct answers:
- The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
- We already calculated the probability that she guesses 4 answers correctly: 0.0016.
Now, we have to sum up these two scenarios:
0.0064 + 0.016 = 0.0224.
Thus, the probability that she passes the quiz is 0.0224
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points:
Substituting we have:
Thus, the equation is of the form:
We substitute one of the points and find "b":
Finally, the equation is of the form:
Answer:
Answer:
In this scenario, we will use the <u>femur or the thigh</u> bone length as the explanatory variable.
Step-by-step explanation:
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
The dependent variables are also known as response variables.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.
The independent variables are also known as the explanatory variables.
Scientifically it is believed that the length of arm and legs are related and basically grow at the same time.
So, in this case the explanatory variable can either of the two bone lengths.
Thus, the complete statement is:
"In this scenario, we will use the <u>femur or the thigh</u> bone length as the explanatory variable."
