There are 4 apples and 6 oranges in a basket. If any type of fruit is drawn twice randomly from a
basket without replacement, determine and draw the frequency distribution considering the
random variable X as the counts of oranges.
Answers
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Given : There are 4 apples and 6 oranges in a basket.
Any type of fruit is drawn twice randomly from a
basket without replacement,
To Find : the frequency distribution considering the random variable X as the counts of oranges.
Solution:
4 Apples
6 oranges
Total = 10
Total ways = ¹⁰C₂ = 45
Oranges = 0 => number of ways = ⁶C₀.⁴C₂ = 6
Oranges = 1 => number of ways = ⁶C₁.⁴C₁ = 24
Oranges = 2 => number of ways = ⁶C₂.⁴C₀ = 15
Number of oranges Frequency Distribution
0 6
1 24
2 15
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