One day, Karen bought 22 random cans of soup from a grocery store. Suppose that 5% of cans sold at that particular grocery store are dented, and assume the store's inventory is large enough that no individual customer's purchase affects the dent rate for the remaining cans. What is the probability that Karen has bought at least one dented can

0.6765 = 67.65%

Step-by-step explanation:

This situation can be treated as a binomial model with probability of success (dented can) of p = 0.05.

In 22 random trials, the probability of at least one success is determined by:

The probability that Karen has bought at least one dented can is 0.6765 or 67.65%.

Probability that Karen has bought at least one dented can is 0.6765.

Step-by-step explanation:

We are given that Karen bought 22 random cans of soup from a grocery store. Suppose that 5% of cans sold at that particular grocery store are dented, and assume the store's inventory is large enough that no individual customer's purchase affects the dent rate for the remaining cans.

The above situation can be represented through Binomial distribution;

where, n = number of trials (samples) taken = 22 cans

            r = number of success = at least one

           p = probability of success which in our question is % cans sold at

                  that particular grocery store that are dented, i.e; 5%

LET X = Number of cans that are dented

So, it means X ~

Now, Probability that Karen has bought at least one dented can = P(X 1)

P(X 1) = 1 - Probability that no cans are dented

             = 1 - P(X = 0)

             = 1 -

             =  

             = 1 - 0.3235 = 0.6765

Therefore, Probability that Karen has bought at least one dented can is 0.6765.

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

step-by-step explanation:

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