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.

no

what is a success in this experiment?
baby doesnt recover
this is not a binomial experiment.
baby recovers

specify the value of n. select the correct choice below and fill in any answer boxes in your choice.
a. n = 6
b. this is not a binomial experiment.

specify the value of p. select the correct choice below and fill in any answer boxes in your choice.
a. p = 0.6
b. this is not a binomial experiment.

specify the value of q. select the correct choice below and fill in any answer boxes in your choice.
a. q = 0.4
b. this is not a binomial experiment.

list the possible values of the random variable x.
x = 1, 2, 3,..., 6
x = 0, 1, 2,..., 5
x = 0, 1, 2,..., 6
this is not a binomial experiment.

Explanation:

Verify binomial experiment criteria

$$
LATEXBLOCK0
$$

Identify parameters and success definition

$$
LATEXBLOCK1
$$

Determine random variable values

$$ x \in \{0, 1, 2, 3, 4, 5, 6\} $$

Answer:

Question 1

• Yes (Correct answer)
• No

Question 2

• Baby doesn't recover
• This is not a binomial experiment.
• Baby recovers (Correct answer)

Question 3

• A. \(n = 6\) (Correct answer)
• B. This is not a binomial experiment.

Question 4

• A. \(p = 0.6\) (Correct answer)
• B. This is not a binomial experiment.

Question 5

• A. \(q = 0.4\) (Correct answer)
• B. This is not a binomial experiment.

Question 6

• \(x = 1, 2, 3, \dots, 6\)
• \(x = 0, 1, 2, \dots, 5\)
• \(x = 0, 1, 2, \dots, 6\) (Correct answer)
• This is not a binomial experiment.