In a recent survey, 70% of HR directors thought that it was very important for business students to take a course in business ethics. For a sample of 12 HR directors, what is the probability that at least one of them does not think it very important for business students to take a business ethics course

Respuesta :

Answer:

0.9862

Step-by-step explanation:

Given: According to 70% of HR directors, business students should take a course in business ethics.

To find: the probability that at least one of a sample of 12 HR directors does not think it very important for business students to take a business ethics course

Solution:

Probability refers to chances of occurrence of an event.

According to 70% of HR directors, business students should take a course in business ethics.

Therefore,

Probability that at least one of a sample of 12 HR directors does not think it very important for business students to take a business ethics

= 1 - Probability that everyone of a sample of 12 HR directors think that it very important for business students to take a business ethics

= [tex]1-\left ( \frac{70}{100} \right )^{12}[/tex]

[tex]=1-\left ( \frac{7}{10} \right )^{12}[/tex]

[tex]=1-(0.7)^{12}\\=1-0.0138\\=0.9862[/tex]

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