A bakery sold a total of 500 cupcakes in a day, and 200 of them were mocha flavored. What percentage of cupcakes sold that day w
2 answers:
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Answer:
Mean = 75
Median = 73.5
Mode = 95
Range = 36
Step-by-step explanation:
Given:
- 77,60,59,70,89,95
Sort:
- 59,60,70,77,89,95
To find:
- Mean
- Median
- Mode
- Range
Mean:
Sum of all data divides by amount.
Therefore, mean = 75
Median:
If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:
From 59,60,70,77,89,95, since 70 and 77 are in middle:
Therefore, median = 73.5
Mode:
The highest value or/and the highest amount of data. Mode can have more than one.
From sorted data, there are no repetitive data nor same data. Consider the highest value:
Therefore, mode = 95
Range:
or highest value - lowest value
Thus:
Therefore, range = 36
Answer:
a)
b)
c)
d)
And we can find this probability with this formula from the Bayes theorem:
Step-by-step explanation:
For this case we assume that the random variable X follows this distribution:
Part a
The probability density function is given by the following expression:
Part b
We want this probability:
And we can use the cumulative distribution function given by:
And replacing we got:
Part c
We want this probability:
And we can use the CDF again and we have:
Part d
We want this conditional probabilty:
And we can find this probability with this formula from the Bayes theorem: