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a) The mean number of cargo ships that arrive at a port is 3 per day. The port has staff and facilities to handle up to 6 ships in a day. Using the Poisson distribution, find the probability that, on a given day,
i. five ships will arrive;
ii. too many cargo ships will arrive.
b) The following represents a random sample of the amounts of carbohydrates (in grams) for thirty sandwiches from a fast food restaurant:
33 30 31 33 37 39 40 45 37 37 62 61 59 43 40
44 49 59 51 62 55 66 39 35 27 34 27 33 29 29
Find, by hand, a 95% con dence interval for the mean amount of carbohydrates in sandwiches at this particular restaurant.
Determine the probability that a randomly selected sample of 31 patients would produce an average diameter of 6.6 mm or less for the non affected tendon?
Many newspapers carry a certain puzzle in which the individual must unscramble letters to form words. How many ways can the letters of YARNLE be arranged?
Out of the 109 males, 42% preferred Pepsi and out of the 53 females, 40% preferred Pepsi. Pepsi wanted to test to determine if the males preferred Pepsi more than females.
Compute the range, variance, standard deviation, and coefficient of variation. Compute the Z scores. Are there any outliers?
Use the above information to calculate the number of watches (units) and the sales dollars we need in order for our flea market business to break even for the day.
Such things as historical documents, newspaper reports, TV and radio broadcasts, when used in research, represents
Assume the reliability of a product is given by an exponential distribution with a mean of 1 year. How long would it take to achieve a 10% failure rate?
If the data were collected for a sample of 50 households rather than 100, develop an 85% confidence interval estimate of the population mean annual amount spent, assuming the population has a normal probability distribution.
Test hypothesis that mean weight of 2 sheets are equal against alternative that they are not(suppose equal variances). Use α=0.05 and suppose equal variances. Determine the P value.
Inventories represent a considerable investment for every organization; thus, it is important that they be managed well. Excess inventories can indicate poor financial and operational management.
At.05 level of significance, is there sufficient evidence to conclude that difference exists between proportion of cats and proportion of dogs which sleep more than 10 hours per day?
Assuming that these results are sample data randomly selected from the population of all past and future Olympic games
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