Create an expression equal to 49 + 28
2 answers:
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Answer:
A. 0.16
B. 0.58
C. No
D. Dependent
Step-by-step explanation:
A.
The sampling space has 36 outcomes.
The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)
So P(A)= 6/36 = 0.16
B.
The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58
C.
Are A and B mutually exclusive events?
No since their intersection is not empty, for example (3,1) belongs to both A and B
D.
In order for A and B to be independent, it must happen that
P(A∩B)=P(A)P(B)
A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36
whereas
P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72
So A and B are not independent.
Answer:
The whisker box-plot that represents this data is:
Option: C
Step-by-step explanation:
We have the set of data points as:
11, 12, 15, 16, 17, 19, 22, 24, 29, 33, 38
From these data points we could observe that the:
Minimum value of whisker-box plot is: 11
Maximum value of whisker-box plot is: 38
The median is the central tendency of the data and the middle line in the box-plot represents the median.
Hence, here we have:
Median i.e. =19
Also, we know that the minimum value of the box represents the lower quartile and it is the median of the lower set of the data and is:
Also lower set of data is:
11, 12, 15, 16, 17
and the middle value of data is: 15
Hence,
Lower quartile i.e. =15
Similarly,
the minimum value of the box represents the upper quartile and it is the median of the upper set of the data.
The upper set of data is:
22,24,29,33,38
and median of the uppers set of data is 29.
Hence,
Upper quartile i..e =29.
Option: C is the correct answer.
