thirty - three percent of all students at a high school like beef stew. out of 300 students, 40 are selected…

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?\n0.33\n0.40\n0.57\n0.67

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?\n0.33\n0.40\n0.57\n0.67

Answer

Explanation:

Step1: Recall probability rule

In a binomial - experiment, the sum of the probability of success ($p$) and the probability of failure ($q$) is 1, i.e., $p + q=1$.

Step2: Identify probability of success

Given that the probability of success (liking beef - stew) $p = 0.33$.

Step3: Calculate probability of failure

We can find the probability of failure $q$ using the formula $q = 1 - p$. Substitute $p = 0.33$ into the formula: $q=1 - 0.33=0.67$.

Answer:

D. 0.67