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A town has a population of 18000 and grows at 2% every year. What will be the population after 11 years, to the nearest whole number?
An insurance company found that 45% of all insurance policies are terminated before their maturity date. Assume that 10 polices are randomly selected from the company’s policy database. Assume a Binomial experiment.
Required:
a) What is the probability that eight policies are terminated before maturity?
b) What is the probability that at least eight policies are terminated before maturity?
c) What is the probability that at most eight policies are not terminated before maturity?
A particular paint has a density of 0.914g/cm3. You need to cover a wall that is 7.6m long and 2.74m high with a paint layer 0.13mm thick. What volume of paint (in litres) is required? What is the mass (in grams) of the paint layer?
IQ tests are measured on a scale which is 𝑁(100,225). A woman wants to form an
“Computer Society” which only admits people with the top 1% of IQ scores. What would
she have to set as the cut-off point in the test to allow this to happen?
A bearing is selected a random and measured. The radius of ball bearings
produced by a particular process follow a normal distribution with y =
0.255 and g=0.001 inches. What is the probability that the radius is at
most 0.2545 in?
A scientist inoculates several mice, one at a time, with a disease germ until he finds 3 mice that have attacked by the disease. If the probability of getting attack of the disease is 1/5, what is the probability that 10 mice are required
A gas mixture that has the following composition in percent by volume: 10.2% CO2, 2.3% CO,
18.5% H2, 21.0% C2H and 48.0% N2.
a) What is the density of this gas at 24 °C and 755 mmHg, in grams per litre?
b) What is the partial pressure of CO in this mixture at STP?
c), What volume of air is required for the complete combustion of this mixture of gas? (Air
contains 21% O2 by volume)
A courier service company has found that their delivery time of parcels to clients is approximately normally distributed with a mean delivery time of 30 minutes and a variance of 25 minutes (squared).
Required:
a) What is the probability that a randomly selected parcel will take longer than 33 minutes to deliver?
b) What is the probability that a randomly selected parcel will take less than 26 minutes to deliver?
c) What is the minimum delivery time (minutes) for the 2.5% of parcels with the longest time to
deliver?
d) What is the maximum delivery time (minutes) for the 10% of the parcels with the shortest time to deliver?
Lauric acid (C12/2402) is a typical fatty acid, a molecule with a long hydrocarbon chain and an
organic acid group (COOH) at the end. (a) Write a balanced equation for the complete
combustion of lauric acid to gaseous products. (b) Calculate AH°rxn for this combustion
(AH°+=-775.6 kJ/mol). (c) Calculate the heat (q) in kJ and kcal when 10.0 g of lauric acid is burned
completely. (AH° CO24g)=-393.5 kJ/mol, AH° $H20(g=-241.826 kJ/mol)
A short term insurance company receives three motor vehicle claims, on average, per day. Assume that the daily claims follow a Poisson process.
Required:
a) What is the probability that at most two motor vehicle claims are received in any given day?
b) What is the probability that more than two motor vehicle claims are received in any given period
of two days?
#339914 on Dec 2023