need answer asap thanks 8) (10 points) Determine if the following situations rep

Question

need answer asap thanks

8) (10 points) Determine if the following situations represent a binomial probability exper state why not. a) A fisherman is going fishing and will continue to fish until he catches 5 rainbow trout. The National Burglar and Fire Alarm Association reports that 34% of burglars get in through the front door. A random sample of 36 burglaries is taken, and the number of entries through the front door is noted. b) Answer ten multiple choice questions by random guessing and the number of correct answers is recorded. There are four choices (a)-(d) for each question. c) d) A fair die is tossed three times and the total number of spots is recorded. Bob has paid to play 5 games at a carnival. The probability that he wins a particular game is 0.25. The number of wins is recorded. e)

Explanation / Answer

Solution:-

Condition for using binomial distribution.

1: The number of observations n is fixed.

2: Each observation is independent.

3: Each observation represents one of two outcomes ("success" or "failure").

4: The probability of "success" p is the same for each outcome.

a) Not binomial distribution, because The number of observations n is not fixed. The probability of "success" p for each outcome is not given.

b) Binomial distribution.

c) Binomial distribution.

d) Not binomial distribution, There are six outcome on every toss of a die. For binomial distribution each observation should represents one of two outcomes.

e) Binomial distribution.

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