A store, on average, has 500 customers per day.
1 answer:
Answer:
a) We can not estimate the probability.
b) Zero probability.
c) There is a probability between 95% and 99% that they have between 475 and 525 customers on a given day.
Step-by-step explanation:
a) We can not said nothing because we only know the average of customers per day. We need to know the probability distribution of the amount of customers per day to answer this question.
b) Now that we know that the variance is 100, although we do not know the exact distribution of the values, we can use the empirical rules to estimate the probability of having at least 700 customers on a given day.
If the variance is 100, the standard deviation is √100=10.
Applying the empirical rule (68-95-99.7 rule), we know that there is probability 0.15% of having at least 500+3*10=530 customers per day (more than 3 deviations from the mean).
Then, we can conclude that the probability of having at least 700 customers per day is zero.
c) To estimate this probability, we have to calculate how many deviations from the mean this values represent:
We have an interval that have a width of ±2.5 deviations from the mean.
For 2 deviations from the mean, it is expected to have 95% of the data.
For 3 deviations from the mean, it is expected to have 99.7% of the data.
Then, for the interval 475 to 525, we can estimate a probability between 95% and 99%.
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Answer:
The area of the shelf is 86.59 square inches
Step-by-step explanation:
The formula of the area of the circle is A = π r², where
- r is the radius of the circle
∵ The corner shelf is of a circle
→ That means its area is the area of the circle
∴ The area of the corner shelf = × area of the circle
∵ Area of the circle = π r²
∴ The area of the corner shelf = × π r²
∵ The radius of the shelf is 10.5 inches
∴ r = 10.5 inches
→ Substitute the values of r in the formula of the area
∴ The area of the corner shelf = × π × (10.5)²
∴ The area of the corner shelf = 86.59014751
→ Round it to the nearest hundredth
∴ The area of the corner shelf = 86.59 square inches
∴ The area of the shelf is 86.59 square inches
Answer:
is the fraction of sensors upgraded per unit.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of upgraded sensors in one unit and y be the number of non-upgraded sensors in one unit.
Number of modular units = 30
Since some part of unit is upgraded and some are non-upgraded, then, we can write the equation:
Number of non-upgraded sensors =
Thus, we can write the equation:
Fraction of sensors upgraded per unit =