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Answer:
A) 0.5000; B) 0.9772; C) 0.9772; D) 0.8185; E) 0.9932; F) 1.0000
Step-by-step explanation:
For each of these, we will use a z score. The formula for a z score is:
A) Our X is 5, our mean is 5 and our standard deviation is 0.2:
z = (5-5)/(0.2) = 0/0.2 = 0
Using a z table, the value to the left of this, less than, is 0.5000; this means the area to the right of this, greater than, is 1-0.5000 = 0.5000.
B) Our X is 5.4, the mean is 5 and the standard deviation is 0.2:
z = (5.4-5)/0.2 = 0.4/0.2 = 2
Using a z table, the value to the left of this, less than, is 0.9772.
C) The probability for this will be the same as for B; there is no distinction between "less than" and "less than or equal to" in z tables.
D) We find the z score for each of the endpoints of this interval, find the probabilities and subtract them:
z = (4.6-5)/0.2 = -0.4/0.2 = -2; the probability is 0.0228.
z = (5.2-5)/0.2 = 0.2/0.2 = 1; the probability is 0.8413.
The area between them is 0.8413-0.0228 = 0.8185.
E) X is 4.5, the mean is 5 and the standard deviation is 0.2:
z = (4.5-5)/0.2 = -0.5/0.2 = -2.5; the probability less than this is 0.0062. This means the probability greater than this is 1-0.0062 = 0.9938.
F) X is 4, the mean is 5 and the standard deviation is 0.2:
z = (4-5)/0.2 = -1/0.2 = -5. Everything in the z table is larger than this, so the probability is 1.000.
Answer:
Step-by-step explanation:
Let we consider sales of home in January as first term for sequence, then sales in February will be 2nd term and so on.
According to the given information, we have
First term :
Second term :
Third term :
We can see that, Common difference = 7
Explicit rule for Arithmetic sequence :
Put and d=7
The required explicit rule that can be used to find the number of homes sold in the nth month of the year :