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a sample is taken to find the proportion p of smokers in a certain population find a sample size so that the
if you wish to estimate the proportion of engineers and scientists who have studied probability theory and you wish
a characterization of the mean consider a probability law with finite mean m define for every real number a ha ex - a2
workers in a certain factory incur accidents at the rate of 2 accidents per week calculate the probability that there
a radioactive source is observed during 4 time intervals of 6 seconds each the number of particles emitted during each
suppose that customers enter a certain shop at the rate of 30 persons an hour i what is the probability that during a
suppose that the telephone calls coming into a certain switchboard obey a poisson probability law at a rate of 16 calls
in a large fleet of delivery trucks the average number inoperative on any day because of repairs is 2 two standby
major motor failures occur among the buses of a large bus company at the rate of2 a day assuming that each motor
consider a restaurant located in the business section of a city how many seats should it have available if it wishes to
the lifetime in hours of a radio tube of a certain type obeys an exponential law with parameter i lambda 1000 ii
describe the probability law of the following random phenomenon the number n of times a fair die is tossed until an
suppose that a certain digital computer which operates 24 hours a day suffers breakdowns at the rate of 025 per hour we
assume that the probability of failure of a ball bearing at any revolution is constant and equal to p what is the
a lepidopterist wishes to estimate the frequency with which an unusual form of a certain species of butterfly occurs in
consider a shop at which customers arrive at random at a rate of 30 per hour what fraction of the time intervals
in 10000 independent tosses of a coin 5075 heads were observed find approximately the probability of observing i
consider a room in which 730 persons are assembled for i 12 730 let ainbspbe the event that the ith person was born
plot the probability mass function of the binomial probability law with parameters n 10 and p frac12 against its
find the probability that in 3600 independent repeated trials of an experiment in which the probability of success of
a certain corporation has 90 junior executives assume that the probability is 110 that an executive will require the
suppose that i 2 ii 3 restaurants compete for the same 800 patrons find the number of seats that each restaurant should
in his book natural inheritance p 63 f galton in 1889 described an apparatus known today as galtonamp39s quincunx the
consider a liquid of volume v which contains n bacteria let the liquid be vigorously shaken and part of it transferred
suppose that among 10000 students at a certain college 100 are redhairedi what is the probability that a sample of 100