Question

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.

Answer 1

Probabilities are used to determine the chances of an event.

The probability of a failure for the binomial experiment is (d) 0.67

The probability (p) that a student likes beef stew is given as:

$\mathbf{p = 33\%}$

Using the complement rule, the probability (q) that a student does not like beef stew is calculated as:

$\mathbf{q =1-p}$

Substitute 33% for p

$\mathbf{q =1-33\%}$

Express 33% as decimal

$\mathbf{q =1-0.33}$

Subtract 0.33 from 1

$\mathbf{q =0.67}$

From the question, the probability (q) that a student does not like beef stew represents failure

Hence, the probability of a failure is (d) 0.67

Read more about binomial probabilities at:

https://brainly.com/question/19578146