A bird eats two types of worms, P and Q, picking them randomly. Which one of the following describes the kind of probability distribution of the number of worms of type P eaten by the bird in a day?
Show Hint
- Binomial
- Normal
- Log-normal
- Uniform
The Correct Option is A
Solution and Explanation
Step 1: Understanding Binomial Distribution.
A binomial distribution models the number of successes (in this case, the number of type P worms eaten) in a fixed number of independent trials (the total number of worms eaten), with two possible outcomes (P or Q worm).
Step 2: Explanation of the other options.
The Normal distribution is used for continuous data and is not suitable for discrete outcomes like counting the number of type P worms.
Log-normal distribution applies to data that is log-transformed and does not describe counts of events.
Uniform distribution assumes equal probability for all outcomes, which doesn't apply here since the bird is choosing between two types of worms.
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