Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
-$$\mathrm { n } = 30 , \mathrm { x } = 5 , \mathrm { p } = \frac { 1 } { 5 }$$
A) 0.198
B) 0.421
C) 0.067
D) 0.172

Question

Quizplus · Accepted Answer

The procedure does result in a binomial distribution because it satisfies the four requirements:
1. Fixed number of trials: n = 30
2. Each trial has two possible outcomes: success (getting x) or failure (not getting x)
3. Trials are independent: the outcome of one trial does not affect the outcome of any other trial.
4. Probability of success is constant: p = 1/5 for each trial.

Therefore, the answer is D (0.172).

Determine Whether the Given Procedure Results in a Binomial Distribution n=30,x=5,p=15\mathrm { n } = 30 , \mathrm { x } = 5 , \mathrm { p } = \frac { 1 } { 5 }n=30,x=5,p=51​

Determine Whether the Given Procedure Results in a Binomial Distribution $\mathrm { n } = 30 , \mathrm { x } = 5 , \mathrm { p } = \frac { 1 } { 5 }$