<span>A. 0.1
The residual is the difference between the observed value and the predicted value for a data point. You obtain it by subtracting the predicted value from the observed value. So the predicted value is:
y = -0.2x + 1.9
y = -0.2*5 + 1.9
y = -1 + 1.9
y = 0.9
Therefore the residual is:
r = 1 - 0.9
r = 0.1
And the value of 0.1 matches option "A".</span>
Answer:
64
Step-by-step explanation:
If the mean is 15, the sum of 5 numbers is:
Minimum value for the first four numbers would be:
Then the fifth number is:
- 75 - (1+2+3+4) = 75 - 10 = 65
So the maximum difference is:
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Answer:
Check Explanation
Step-by-step explanation:
a) Yes, the two events are mutually exclusive. The true meaning of mutually exclusive is that both A1 and A2 have no sample points in common and cannot both occur at the same time.
The only sure mathematical way to tell is from P(A1 n A2) = 0.
Note that this is different from when two events are independent. Two events are independent when the chances of one occurring does not depend on the chances of the other event occurring at all. Independent events can both occur at the same time. Mathematically, independent events are described as P(A1|A2) = P(A1) and P(A2|A1) = P(A2)
b) To solve for P(B)
We use the mathematical definition of the conditional statement
P(B|A1) = P(B n A1)/P(A1)
P(B n A1) = P(B|A1) × P(A1) = 0.2 × 0.4 = 0.08
P(B|A2) = P(B n A2)/P(A2)
P(B n A2) = P(B|A2) × P(A2) = 0.05 × 0.6 = 0.03
P(B) = P(B n A1) + P(B n A2) (especially because A1 and A2 are mutually exclusive)
P(B) = 0.08 + 0.03 = 0.11
Hope this helps!!