Here is some data about a survey of musicians: Gender Self-taught Studied in School Private Instruction Female 27 32 14 Male 21 27 16 If a musician is chosen at the random find, the following probabilities. Express all answers as fractions, do not simplify the fractions! (a) P(Male) (b) P(Female and Studied in School) (c) P(Female or Studied in School)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Here is some data about a survey of musicians:
| Gender | Self-taught | Studied in School | Private Instruction |
| Female | 27 | 32 | 14 |
| Male | 21 | 27 | 16 |
If a musician is chosen at the random find, the following probabilities.
Express all answers as fractions, do not simplify the fractions!
(a) P(Male)
(b) P(Female and Studied in School)
(c) P(Female or Studied in School)
HERE ARE MY ANSWERS ( IS IT CORRECT? )
| Gender | Self-taught | Studied in School | Private Instruction | Total |
| Female | 27 | 32 | 14 | 73 |
| Male | 21 | 27 | 16 | 64 |
| Total | 48 | 59 | 30 | 137 |
(a) P(Male)
64
(b) P(Female and Studied in School)
32/137
(c) P(Female or Studied in School)
73/137 + 48/137 - 32/137 = 89/137
ARE MY ANSWERS CORRECT?
Based on the calculation in Step 2, the answers corresponding to Part a and Part b are correct. Part c answer is incorrect. we are providing the correct solution for part c.
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