2. On July 1 of the current year, Glover Mining Co. pays $5,400,000 for land estimated to contain 7,200,000 tons of recoverable ore. It installs machinery on July 3 costing $864,000 that has an 8 year life and no salvage value and is capable of mining the ore deposit in six years. The company removes and sells 745,000 tons of ore during its first six months of operations ending on December 31. Depreciation of the machinery is in proportion to the mine's depletion as the machinery will be abandoned after the ore is mined. Prepare the entries Glover must record for (a) the purchase of the ore deposit, (b) the costs and installation of the machinery, (c) the depletion assuming the land has a zero salvage value, and (d) the depreciation on the machinery.

A CSTR activated sludge system is being designed for the Fulton Fish Processing Plant. The flow is relatively small (0.25 mgd), but the wastewater is strong due to all of the fish waste (BOD5 = 4500 mg/L). Primary settling removes 20% of the BOD5. In order to discharge to the town sewer the BOD5 must be reduced to a concentration that is 95% of the influent. What is the Dimensions of the basin assuming a 3:1 L:W ratio. Also, what is the sludge production rate?

Design Parameters

θc = 10 days

X = 2100 mg VSS/L

MLVSS is 75% of MLSS

Aeration Basin = 20 ft deep

Yobs = 0.3 mg MLSS/mg BOD5

Recycle Ratio = 50%

In [12]: pd.Series([1.0,np.NaN,5.9,6])+pd.Series([3,5,2,5.6])
Out[12]: 0     4.0
        1     NaN
        2     7.9
        3    11.6
        dtype: float64
In [13]: pd.Series([1.0,25.0,5.5,6])/pd.Series([3,np.NaN,2,5.6])
Out[13]: 0    0.333333
        1         NaN
        2    2.750000
        3    1.071429
       dtype: float64

What are they trying to explain here?

That pandas returns a missing value where one of the operands is missing

That pandas treats NaN values as zero, when an operation is performed

That pandas removes all records in which one of the operands is NaN

That the + and / operations in pandas are special cases in which the NaN values are treated as floats. The rest of the mathematical operations treat NaN values as strings.

​A(n) 10.0 ​%, ​25-year bond has a par value of​ $1,000 and a call price of ​$1 comma 050 . ​(The bond's first call date is in 5​ years.) Coupon payments are made semiannually​ (so use semiannual compounding where​ appropriate).

a. Find the current​ yield, YTM, and YTC on this​ issue, given that it is currently being priced in the market at $ 1 comma 175. Which of these 3 yields is the​ highest? Which is the​ lowest? Which yield would you use to value this​ bond? Explain.

b. Repeat the 3 calculations​ above, given that the bond is being priced at ​$825 . Now which yield is the​ highest? Which is the​ lowest? Which yield would you use to value this​ bond? Explain.

a. If the bond is priced at ​$1 comma 175 ​, the current yield is nothing ​%. ​(Round to two decimal​ places.) The annual​ yield-to-maturity with semiannual compounding is nothing ​%. ​(Round to two decimal​ places.) The annual​ yield-to-call with semiannual compounding is nothing ​%. ​(Round to two decimal​ places.) Which of these 3 yields is the​ highest? Which is the​ lowest?  ​(Select from the​ drop-down menus.) ▼ Yield-to-call Current yield Yield-to-maturity is the​ highest, while ▼ current yield yield-to-call yield-to-maturity is the lowest. Which yield would you use to value this​ bond?  

A. The​ yield-to-maturity is always used.

B. The​ yield-to-maturity because the bonds may not be called.

C. The​ yield-to-call because convention is to use the lower more conservative measure of yield.

D. It​ doesn't matter which yield you use. b. If the bond is priced at ​$825 ​, the current yield is nothing ​%. ​(Round to two decimal​ places.)

The annual​ yield-to-maturity with semiannual compounding is nothing ​%. ​(Round to two decimal​ places.)

The annual​ yield-to-call with semiannual compounding is nothing ​%. ​(Round to two decimal​ places.)

Which of these 3 yields is the​ highest? Which is the​ lowest. ▼ Current yield Yield-to-call Yield-to-maturity is the​ highest, while ▼ yield-to-maturity current yield yield-to-call is the lowest. Which yield would you use to value this​ bond? 

A. The​ yield-to-maturity because convention is to use the lower of​ yield-to-maturity or​ yield-to-call for bonds selling at a discount.

B. The​ yield-to-maturity because the bonds may not be called.

C. It​ doesn't matter which yield you use.

b. If the bond is priced at ​$825​, the current yield is nothing ​%. ​(Round to two decimal​ places.)

The annual​ yield-to-maturity with semiannual compounding is nothing ​%. ​(Round to two decimal​ places.)

The annual​ yield-to-call with semiannual compounding is nothing​%. ​(Round to two decimal​ places.)

Which of these 3 yields is the​ highest? Which is the​ lowest?  

Current yield

Yield-to-call

Yield-to-maturity

is the​ highest, while yield-to-maturity current yield yield-to-call is the lowest.

Which yield would you use to value this​ bond?  ​(Select the best answer​ below.)

A.The​ yield-to-maturity because convention is to use the lower of​ yield-to-maturity or​ yield-to-call for bonds selling at a discount.

B.The​ yield-to-maturity because the bonds may not be called.

C.It​ doesn't matter which yield you use.

D.The​ yield-to-maturity is always used.

company, claims that the sales representatives makes an average of 20 calls per week on professors. Several representatives say that the estimate is too low. To investigate, a random sample of 28 sales representatives reveals that the mean number of calls made last week was 44 and variance is 2.41.

Conduct an appropriate hypothesis test, at the 5% level of significance to determine if the mean number of calls per salesperson per week is more than 40.

(a)     Provide the hypothesis statement

(b)     Calculate the test statistic value

(c)     Determine the probability value

(d) Provide an interpretation of the P-value

Consider a finite population with five elements labeled A, B, C, D, and E. Ten possible simple random samples of size 2 can be selected. 1. List the 10 samples beginning with AB, AC, and so on. 2. Using simple random sampling, what is the probability that each sample of size 2 is selected? 3. Assume random number 1 corresponds to A, random number 2 corresponds to B, and so on. List the simple random sample of size 2 that will be selected by using the random digits 8 0 5 7 5 3 2.

A grocery store is trying to predict how many packages of toilet paper rolls will be purchased over the next week. They know from their records that each customer has a 60% chance of buying 0 packages, a 30% chance of buying 1 package, an 8% chance of buying 2, and a 2% chance of buying 25. They expect about 150 customers per day.

(a) What is the expected number of packages sold in one day? (b) What is the probability that the average number of packages per customer is greater than 1 over the course of a week? Assume the store is open 7 days a week.

Let W be a random variable giving the number of heads minus the number of tails in three independent tosses of an unfair coin where p = P(H) = 1 3 , and q = P(T) = 2 3 . (a) List the elements of the sample space S for the three tosses of the coin and to each sample point assign a value of W. (b) Find P(−1 ≤ W < 1). (c) Draw a graph of the probability density function f(t) of W, and the cumulative distribution function F(t). (d) Compute µW = E(W) and σ 2 W .

Suppose that prices of women’s athletic shoes have a mean of $75 and a standard deviation of $17.89. What is the probability that the mean price of a random sample of 50 pairs of women’s athletic shoes will differ from the population mean by less than $5.00?

In order to estimate the number of calls to expect at a new suicide hotline, volunteers contact a random sample of 40 similar hotlines across the nation and find that the sample mean is 42.0 calls per month. Construct a 95% confidence interval for the mean number of calls per month. Assume that the population standard deviation is known to be 6.5 calls per month.

Suppose a system consists of 12 components connected in series, which must all operational for the system to work. If there 5 components of one type with a mean lifetime of 3 years. 7 of the components of a different type and have a mean lifetime of 2 years. Assume the lifetimes are exponentially distributed. Let X be the first time the system stops working.

(a) Find the probability that X is less than 1 and describe in words what this event means.

(b) Find the CDF for X.

(c) Find the CDF for X if the number of type-1 components is n and the number of type-2 components is k.