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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#229 in incorrect - all the customers require an annual review
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question #3 refers to vnet4 and vnet5. however, there is no vnet5 listed in the case study (testlet 2).
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