Explain which of the following are false and which are true.
,
There is no mode.
The median is less than the mean.
True
True
False – the median and the mean are the same for this symmetric distribution
True
Calculate:
Mean
Median
65th percentile.
8
8
.
Which of the following is true for the above box plot?
25% of the data are at most 5.
There is about the same amount of data from 4 – 5 as there is from 5 – 7.
There are no data values of 3.
50% of the data are 4.
False –
of the data are at most 5
True – each quartile has 25% of the data
False – that is unknown
False – 50% of the data are 4 or less
If
, then which of the following is correct?
and
are mutually exclusive events.
Knowing that
has occurred will affect the chance that
will happen.
and
are independent events.
D
If
,
, and
and
are independent events, then explain which are correct and which are incorrect.
False - J and K are independent so they are not mutually exclusive which would imply dependency (meaning P(J and K) is not 0).
False - see answer C.
True - P(J or K) = P(J) + P(K) - P(J and K)
= P(J) + P(K) - P(J)P(K)= 0.3 + 0.6 - (0.3)(0.6) = 0.72.
Note that P(J and K) = P(J)P(K) because J and K are independent.
False - J and K are independent so P(J) = P(J|K).
On average, 5 students from each high school class get full scholarships to 4-year colleges. Assume that most high school classes have about 500 students.
= the number of students from a high school class that get full scholarships to 4-year school. Which of the following is the distribution of
?
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Source:
OpenStax, Collaborative statistics using spreadsheets. OpenStax CNX. Jan 05, 2016 Download for free at http://legacy.cnx.org/content/col11521/1.23
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