Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.0005. Suppose they wrote 400 policies for the coming weekend, what is the probability that exactly two claims will be filed?
Answer(s): A
This is a binomial probability. The probability of getting r successes out of n trials where the probability of success each trial is p and probability of failure each trial is q (where q = 1-p) is given by: n!(p^r)[q^(n-r)]/r!(n-r)!.Here n = 400, r = 2,p = 0.0005 and q = 0.9995. Therefore we have 400!(0.0005^2)(0.9995^398)/2!398! = 0.0164.
The semiannually compounded rate is 10% quoted on an annualized basis. The equivalent annually compounded rate is:
To solve such problems, think about investing a dollar for a year. The final amount should be the same under both the quotations. Under annually compounded rate, r, $1 grows to 1+r in 1 year. Under semiannual compounding, it grows to (1+0.1/2)^2 = 1.1025. Since these two should be equal, we get 1+r = 1.1025, giving r = 10.25%. Note that the annually compounded rate must be larger than the semiannually rate, ruling out 9.65 automatically.
In hypotheses testing, what is the level of significance?
Answer(s): B
All the above a correct descriptions of the level of significance.
A random variable can take on four values: 12, 36, 78, 111, each with probability 0.25. The standard deviation of the random variable equals ________.
Answer(s): D
Since all the observations occur with equal probability, the mean of the observations is (12 + 36 + 78 + 111) *0.25 = 59.25. The variance is then given by 0.25*( [12-59.25]^2 + [36-59.25]^2 + [78-59.25]^2 + [111-59.25]^2) = 1451. The standard deviation is equal to sqrt(1451) = 38.1.
If you deposit $10,000 into an account paying 6% per year, compounded semiannually, how much do you have in the account in 8 years?
On the BAII Plus, press 16 N, 6 divide 2 = I/Y, 10000 PV, 0 PMT, CPT FV. On the HP12C, press 16 n, 6 ENTER 2 divide i, 10000 PV, 0 PMT, FV. Note that the answer will be displayed as a negative number. Make sure the BAII Plus has the value of P/Y set to 1.
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q252: dns poisoning is the correct answer, not locator redirection. beaconing is detected from a host. this indicates that the system has been infected with malware, which could be the source of local dns poisoning. location redirection works by either embedding the redirection in the original websites code or having a user click on a url that has an embedded redirect. since users at a different office are not getting redirected, it isnt an embedded redirection on the original website and since the user is manually typing in the url and not clicking a link, it isnt a modified link.
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