Determine of the following represent binomial probability experiments or not. Fo

Question

Determine of the following represent binomial probability experiments or not. For those scenarios which are NOT binomial, explain why:

a) A random sample of cattlemen are surveyed and asked their age.

b) A new treatment for ulcers is given to 100 racehorses and the number who have improved ulcer scores is recorded.

c) Fifty Suffolk sheep are randomly selected based on their registration numbers. The number of females is counted.

d) A random sample of 100 farmed alligators is obtained, and their tail lengths are measured.

e) A random sample of 100 Texans is obtained and asked if they own cattle.

f) Three chicks are selected from a farm store display of 25 chicks (15 yellow, 10 red) without replacement. The number of yellow chicks is recorded.

g) Three chicks are selected from the same farm store display, this time with replacement. The number of yellow chicks is recorded.

Explanation / Answer

A binomial experiment is an experiment which satisfies these four conditions

1. A fixed number of trials

2. Each trial is independent of the others

3. There are only two outcomes

4. The probability of each outcome remains constant from trial to trial.

a) A random sample of cattlemen are surveyed and asked their age.

Voilates rule 3

b) A new treatment for ulcers is given to 100 racehorses and the number who have improved ulcer scores is recorded. YES

c) Fifty Suffolk sheep are randomly selected based on their registration numbers. The number of females is counted. YES

d) A random sample of 100 farmed alligators is obtained, and their tail lengths are measured.

Voilates rule 3

PS : We are directed to solve only the first question when multiple questions are posted or the first 4 parts when multiple parts of the same question are posted.

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