A bottling process is inspected 100 percent of the time because of the low yield rate of 98%. If a batch of 80 bottles are inspected, what is the probability less than three bottles are bad?

The probability is  

Step-by-step explanation:

From the question we are told that

   The low yield rate is  

    The sample size n = 80

Hence the probability that the bottle is bad

=>    

=>    

Generally the distribution of yield follows a binomial distribution  

i.e  

and the probability distribution function for binomial  distribution is  

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability less than three bottles are bad is mathematically represented as

=>  

=>  

=>  

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: