Search & Filtering
A successful venture-capital firm notes that it provides financing for only 30% of the proposals it reviews. This year it reviews 120 proposals.
a/ What is the probability that at least 30 of the 120 proposals submitted will receive financing?
b/ What is the probability that the number of proposals receiving financing will be between 40 and 60?
The probability that a vehicle entering the Luray Caverns has Canadian
license plates is 0.12; the probability that it is a camper is 0.28; and the
probability that it is a camper with Canadian license plates is 0.09. What is
the probability that
(i) A camper entering the Luray Caverns has Canadian license Plates.
(ii) A vehicle with Canadian license plates entering the Luray Caverns is a
camper.
(iii) A vehicle entering the Luray Caverns does not have Canadian plates or
is not a camper.
The average length of time for students to register for fall classes at a certain college
has been 50 minutes with a standard deviation of 10 minutes. A new registration
procedure using modern computing machines is being tried. If a random sample of
12 students had an average registration time of 42 minutes with a standard
deviation of 11.9 minutes under the new system, test the hypothesis that the
population mean is now less than 50, using a level of significance of (a) 0.05, and (b)
0.01. Assume the population of time to be normal.
The mean lifetime for a sample of 125 lamps is 1205 hours with standard deviation 105 hours. However, the company claims that their lamps average lifetime is difference from 1300 hours. Test the claim at 1% level of significance.
Does Given a sample formed by from large, with following a Bernouilli distribution, follow a binomal distribution
For some NONEMPTY independent events A and B we have Pr(A) = Pr(B) = Pr(AnB),then
Select one:
A. Event A is impossible and event B is certain
B. Both A and B are impossible events
C. Both A and B are certain events
D. Event A is certain and event B is impossible
Suppose that a pair of fair dice are to be tossed, and let the random variable X denote the of the points. a) obtain the probability distribution for X. b) find the cumulative distribution function F(x) for the random variable X c) graph this cumulative distribution function.
I. Box I contains 3 red and 2 blue marbles while Box II contains 2 red and 8 blue marbles. A fair coin istossed. If the coin turns up heads, a marble is chosen from Box I; if it turns up tails, a marble is chosen from Box II. Let R denote the event “a red marble is chosen” while I and II denote the events that Box I and Box II are chosen, respectively. Find the probability that a red marble is chosen.
I. A random variable X has pdf: X 0 1 2 f(x) 3 1/8 3/8 3/8 1/8 (a) Find the cumulative distribution function F(x) (b) Graph this distribution function. II. If the probability of a defective bolt is 0.1, find: (a) the mean, for the number of defective bolts in a total of 400 bolts. (b) the standard deviation, for the number of defective bolts in a total of 400 bolts.
I. A sales manager receives 6 calls on average between 9:30 a.m. and 10:30 a.m. on a weekday. Find the probability that: a) he will receive 2 or more calls between 9:30 a.m. and 10:30 a.m. on a certain weekday. b) he wiI1 receive exactly 2 calls between 9:30 a.m. and 9:40 a.m. on a certain weekday. c) during a 5 day working week, there will be exactly 3 days on which he will receive no calls between 9:30 a.m. and 9:40 a.m. II. Suppose an ordinary six-sided die is rolled repeatedly and the outcome is noted on each roll. What is the probability that the: a) third 6 occurs on the seventh roll? b) number of rolls until the first 6 occurs is at most 10?
