Howdy! I’m Professor Curtis of Aspire Mountain Academy here with more statistics homework help. Today were going to learn how to find a binomial distribution probability of “no more than.” Here’s our problem statement: A survey showed that 82% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 19 adults are randomly selected, find the probability that no more than one of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction?
OK, the first part of this problem asks us to find the probability that no more than one of the 19 adults require eyesight correction. To do this, envelope stack French doors is no icon here in the problem that lets you load stack crunch automatically
So I was like to keep a separate copy open in another window so that, in case I ever need it, it's there for me when I'm solving the problems. Once I'm in StatCrunch, I want to find the binomial calculator because what we need is the binomial distribution. We know it's a binomial distribution because you need correction for your eyesight or you don't, so it's one or the other. That's the binomial distribution. To get there, I go to Stat –> Calculators –> Binomial.
So here is my binomial calculator. I will adjust my sample size to match that of the problem is to be 19 in the probability of success really consider needing eyesight success so as to be 82% in the rest of find the probability that no more than one so as to be less than or equal to its no more than Celeste that stays the same as change this number here one computer and there's my answer a really small number this he represents the number 10 in the -13's exponent and replacing with the tenses attended the -13th so that means this decimal point is 13 places to the left of zero before you actually get to the first actual nonzero number here. So this is a very, very small number — practically zero. So I put that here for my probability. Fantastic!
And now the second part of this problem asks us, “Is 1 a significantly low number of adults requiring eyesight correction? Note that a small probability is one that is less than 5%.” Well, zero is definitely less than 5%, so we have a small probability that this is going to occur. And therefore, we would say that 1 is a significantly low number. So I'm going to select the answer option that corresponds with that. Good job!
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