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Thirty-three percent of all students at a high school like beef stew. Out of 300 students, 40 are selected randomly and asked whether they liked beef stew. If liking beef stew is a success, what is the probability of a failure for this binomial experiment?

0.33
0.40
0.57
0.67

Respuesta :

I would go with D! Best of luck
x

Answer:

The correct option is D

Step-by-step explanation:

It is given that out of 300 students, 40 are selected randomly and asked whether they liked beef stew.

Here, liking beef stew is a success and thirty-three percent of all students at a high school like beef stew.

Success = p : Liking beef stew

Failure   = q  : Not liking beef stew

Probability of success is 33%.

[tex]p=\frac{33}{100}=0.33[/tex]

Probability of failure is

[tex]q=1-p=1-0.33=0.67[/tex]

The probability of a failure for this binomial experiment is 0.67. Therefore the correct option is D.