QUESTION IMAGE
Question
a group of 65 baseball players were surveyed about which hand they favor for batting. the data from the survey are shown in the venn diagram. determine the value for each variable in the two - way table.
a =
b =
c =
d =
e =
| right | left | total | |
|---|---|---|---|
| male | c | 6 | 34 |
| total | 52 | d | e |
Step1: Find value of a
The number of female - left - handed players. From Venn - diagram, number of female players is \(24 + 7=31\). In the two - way table, total number of female players is \(b\). Also, number of female right - handed players is 24. So \(a=7\).
Step2: Find value of b
The total number of female players. \(b = 24+7=31\).
Step3: Find value of c
The number of male right - handed players. Total number of right - handed players is 52 and number of female right - handed players is 24. So \(c = 52 - 24=28\).
Step4: Find value of d
The total number of left - handed players. Total number of players is 65 and total number of right - handed players is 52. So \(d=65 - 52 = 13\).
Step5: Find value of e
The total number of players surveyed. \(e = 65\).
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\(a = 7\)
\(b = 31\)
\(c = 28\)
\(d = 13\)
\(e = 65\)