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Nine out of every 100 people in the Philippines have Type B positive blood. If 8 people are chosen at random, what is the probability that less than 3 people have Type B blood?
1. The manufacturer of a certain kind of light bulb claims that the lifetime of the bulb in hours, X can be modeled as a random quantity with PDF.
fx(x)= {0, x<100
c/x2, x>=100,
where c is a constant.
i. What value must c take in order for this to define a valid PDF?
ii. What is the probability that the bulb lasts no longer than 150 hours?
iii. Given that a bulb lasts longer than 150 hours, what is the probability that it lasts longer than 200 hours?
iv. Evaluate the cumulative distribution function.
Which is the limiting reactant when 15.0 g of iron (III) sulfate reacts with an equal mass of sodium hydroxide
- A small electric immersion heater is used to heat 68 g of water for a cup of instant coffee. The heater is labeled “76 watts” (it converts electrical energy to thermal energy at this rate). Calculate the time required to bring all this water from 23°C to 100°C, ignoring any heat losses. (The specific heat of water is 4186 J/kg·K.)
- A vertical glass tube of length L = 1.3m is half filled with a liquid at 15.8 ˚C. How much will the height of the liquid column change when the tube is heated to 34.0 ˚C? Take αglass = 1.25× 10-5/K and βliquid = 4.46× 10-5/K.
1. The number of calls coming into a hotel’s reservation center averages three per minute.
a. Find the probability that no calls will arrive in a given one-minute period.
b. Find the probability that at least two calls will arrive in a given one-minute period.
1. Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that the samples are independent with regard to the presence of the pollutant.
Let X =the number of samples that contain the pollutant in the next 18 samples analyzed. Then X is a binomial random variable with p = 0:10 and n = 18.
i. Find the probability that in the next 18 samples, exactly 2 contain the pollutant.
ii. Find the probability that 3≤ X ≤ 5
iii. Find the probability that X ≥ 2
A 10 by 10 array of horizontal tubes of 1.27 cm diameter is exposed to pure steam at atmospheric
pressure. If the tube wall temperature is 98°C, estimate the mass of steam condensed assuming a
tube length of 1.5 m
1. Consider the random quantity X, with PDF
fx(x) = {4/3(2x-x^2), 0<x<2
0, otherwise.
i. Check that this is a valid PDF (it integrates to 1).
ii. Calculate the expectation and variance of X.
iii. Evaluate the cumulative distribution function.
iv. What is the median of this distribution?
19.Find the capacitance of Earth. The radius of the Earth is 6,400 km By how much will the Earth's potential change if it receives a quantity of electricity equal to 1C?
19. Find the capacitance of the Earth .the radius of the Earth is 6,400 km.By how much will the Earth`s potential chance if it receives a quantity of electricity equal to1C?
