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- 20Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.07. Suppose that, on a given day, 18 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts (a) through (d) below. a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent? The mean number of online retail orders that turn out to be fraudulent is (Type an integer or a decimal. Round to four decimal places as needed,) Instructor tip The standard deviation of the number of fraudulent retail orders is. (Type an integer or a decimal. Round to three decimal places as needed.) Use BINOM.DIST function in Excel to find binomial probabilities. Use the formulas for the mean and the SD. See my Excel tutorials for b. What is the probability that zero online retail orders will turn out to be fraudulent? more information. (Type…A transportation department reported that all domestic airlines in on-time arrivals for domestics’ flights with a rate of 0.825. Using the binomial distribution, what is the probability that in the next six flights, that at least four flights will be on time?
- 5) The daily revenue at a university snack bar has records to indicate that the mean daily revenue is $2,400 and standard deviation is $600. A random sample of 81 days was selected. Find the approximate probability that the average revenue for the sample is less than $2,300.The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 m. What is the probability that there will be exactly 8 cracks in a 700 m length of pavement? O A. 0.224 O B. 0.034 O C. 0.130 O D. 0.065solve the following
- . The demand for high-grade gasoline at a service station is normally distributed with mean 27,009 gallons per day and standard deviation 4,530. Find two values that will give a symmetric 0.98 probability interval for the amount of high-grade gasoline demanded daily.Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 18 online retail orders are placed, Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts (a) through (d) below. a. What are the mean and standard deviation of the number of online retail orders that tun out to be fraudulent? The mean number of online retail orders that turn out to be fraudulent is (Type an integer or a decimal. Round to four decimal places as needed.) The standard deviation of the number of fraudulent retail orders is. (Type an integer or a decimal. Round to three decimal places as needed.) b. What is the probability that zero online retail orders will turn out to be fraudulent? (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that one online retail order will turn out to be fraudulent? (Type an…The demand for a replacement part is a random variable having a Poisson probability distribution with a mean of 4.7. If there are 6 replacement parts in stock, what is the probability of a stock-out(i.e., demand exceeding quantity on hand)?