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

Explanation:

Step1: Recall probability rule

In a binomial experiment, the sum of the probability of success ($P(S)$) and the probability of failure ($P(F)$) is 1, i.e., $P(S)+P(F) = 1$.

Step2: Identify probability of success

The probability of success (liking beef - stew) is given as 33% or 0.33, so $P(S)=0.33$.

Step3: Calculate probability of failure

We can find the probability of failure by rearranging the formula $P(F)=1 - P(S)$. Substitute $P(S) = 0.33$ into the formula: $P(F)=1 - 0.33=0.67$.

Answer:

D. 0.67