about 60% of babies born with a certain ailment recover fully. a hospital is caring for six babies born with this ailment. the random variable represents the number of babies that recover fully. decide whether the experiment is a binomial experiment. if it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.

is the experiment a binomial experiment?

yes
no

Question

about 60% of babies born with a certain ailment recover fully. a hospital is caring for six babies born with this ailment. the random variable represents the number of babies that recover fully. decide whether the experiment is a binomial experiment. if it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.

is the experiment a binomial experiment?

yes
no

is the experiment a binomial experiment?

yes
no

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Binomial Parameter Matching" ], "new_concepts": [], "current_concepts": [ "Binomial Experiment Definition", "Binomial Parameter Matching" ] } ## Verify binomial experiment criteria $$ \begin{aligned} &\text{1. Fixed number of trials: } n = 6 \text{ (six babies)} \ &\text{2. Independent trials: recovery of one baby does not affect another} \ &\text{3. Two outcomes: recover fully (success) or do not recover fully (failure)} \ &\text{4. Constant probability of success: } p = 0.60, \quad q = 1 - p = 0.40 \end{aligned} $$ ## Identify parameters and random variable values $$ \begin{aligned} &\text{Success: A baby born with the ailment recovers fully} \ &n = 6 \ &p = 0.60 \ &q = 0.40 \ &x \in \{0, 1, 2, 3, 4, 5, 6\} \end{aligned} $$

Yes

No

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Statistics", "Binomial Parameter Matching" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Verify binomial experiment criteria

Identify parameters and random variable values

Answer: