# 20 c 3 20 c 3 1140 6 a company that makes cartons

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20C20C3=11406.A company that makes cartons finds that the probability of producing a carton with a puncture is 0.07, the probability that acarton has a smashed corner is 0.06, and the probability that a carton has a puncture and has a smashed corner is 0.004.Answer parts (a) and (b) below.(a) Are the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" mutually exclusive?Explain.3A.Yes, a carton can have a puncture and a smashed corner.B.No, a carton cannot have a puncture and a smashed corner.C.Yes, a carton cannot have a puncture and a smashed corner.D.No, a carton can have a puncture and a smashed corner.(b) If a quality inspector randomly selects a carton, find the probability that the carton has a puncture or has a smashedcorner.The probability that a carton has a puncture or a smashed corner is0.126(Type an integer or a decimal. Do not round.).
7.Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Thendetermine if the events are unusual. If convenient, use the appropriate probability table or technology to find theprobabilities.Assume the probability that you will make a sale on any given telephone call is 0.23. Find the probability that you (a) makeyour first sale on the fifth call, (b) make your sale on the first, second, or third call, and (c) do not make a sale on the firstthree calls.(a) P(make your first sale on the fifth call) =0.081(Round to three decimal places as needed.)(b) P(make your sale on the first, second, or third call) =0.543(Round to three decimal places as needed.)(c) P(do not make a sale on the first three calls) =0.457(Round to three decimal places as needed.)Which of the events are unusual? Select all that apply.
Week 5 Quiz
8.Determine whether the distribution is a discrete probability distribution.xP(x)00.2010.3220.5030.3240.20Is the distribution a discrete probability distribution? Why? Choose the correct answer below.
9.Use the frequency distribution, which shows the number of American voters (inmillions) according to age, to find the probability that a voter chosen at random isin the 18 to 20 years old age range.AgesFrequency18 to 205.121 to 248.725 to 3421.735 to 4424.645 to 6450.365 and over28.1
The probability that a voter chosen at random is in the 18 to 20 years old age range is0.037.

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Term
Fall
Professor
N/A
Tags
Probability theory, Discrete probability distribution, decimal places
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