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joseestrada27
16.06.2020 •
Mathematics
Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.
a. Represent this in a Venn Diagram and determine how many play both the violin and
piano.
B.find the probability that the student
I.plays the violin but not the piano
ii.does not play the violin
iii.plays the piano but not the violin
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Ответ:
(a)9
(b)I. 0.28125
II. 0.46875
III. 0.25
Step-by-step explanation:
There are a total of 32 students, therefore the number of elements in the Universal set, n(U)=32
(a)The Venn diagram is attached below.
Therefore, 9 students play both the violin and piano.
(b)
I. Probability that the student plays the violin but not the piano
Number of Students who play violin only =18-x=18-9=9
ii.Probability that the student does not play the violin
Number of Students who does not play violin only =17-x+7=17-9+7=15
P(does not play violin only)
iii.Probability that the student plays the piano but not the violin
Number of Students who play piano only =17-x=17-9=8
Ответ:
Option B) is a continuous probability distribution
Step-by-step explanation:
Properties of a normal probability distribution:
The mean, mode and median of the data is same.It is a continuous probability distribution.The area under the curve is 1.The probability that any random variable X at a particular value is zero.Thus, from the properties of normal distribution, the correct answer is:
Option B) is a continuous probability distribution