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The Road Safety Association monitors the traffic on Easter Sunday on the N3. Their records show that on average, a vehicle passes the checkpoint every 36 seconds. Assume that periods of any length are independent of one another. Suppose that a car passes a checkpoint at exactly 10h05. What is the probability that the next car passes the checkpoint after 10h06?
A pizza parlour will deliver a pizza take-away order to the customer if s/he lives within a 5 kilometre radius from the pizza parlour. If the customer lives within this radius, it is found that the time taken to receive the pizza is normally distributed with a mean time of 45 minutes and a standard deviation of 8 minutes. Paul has relocated and now lives within the 5 kilometre radius. He orders a pizza from the pizza parlour. The probability that it takes between 43 and 49 minutes for him to receive his pizza is (correct to 2 decimal places)
A pizza parlour will deliver a pizza take-away order to the customer if s/he lives within a 5 kilometre radius from the pizza parlour. If the customer lives within this radius, it is found that the time taken to receive the pizza is normally distributed with a mean time of 45 minutes and a standard deviation of 8 minutes. If the time to receiving the pizza exceeds a particular time period, the customer gets the pizza free of charge. What should the approximate time limit (to the nearest minute) until delivery for the pizza be if the pizza parlour wants no more than 10% of the customers to get a free pizza?
A circuit consists of a resistance R ohms and an inductance of L henry connected to a
generator of E cos(ωt + α) voltage. Find the current in the circuit. (i = 0, when t = 0).
Identify the lower and upper confidence limits of 32.75 < population mean < 37.77
A population consists of value (2,3,5). Consider all possible samples of size n=2 that can be drawn with resplacement from this population
A government agency is investigating a complaint from some concerned citizens who said that there is short-weight selling of rice in a certain town. An agent manufacturer took a random sample of 20 sacks of "50 kilo" sacks of rice from a large shipment and finda that the mean weight is 49.7 kilogram with the standard deviation of 0.35 kilogram. The level of significance is 0.01
A poster is to have an area of 630 cm2 with 2.5 cm margins at the bottom and sides and a 5 cm margin at the top. Find the exact dimensions (in cm) that will give the largest printed area.
width : cm
height: cm
The probability of success on any trail of a binomial experiment is 25%. Find the probability that the proportion of successes in a sample of 1000 is between 22% and 28%.
There are 6 people to be arranged in a line for a concert. How many
arrangements are possible?
