15 Problems : Five-Number Summary, GCF, Factorization, Perimeter and Area

4. Jamal is fencing a rectangular field that measures 40 ft by 15 ft. How much fencing should he buy? 7. Find the prime factorization of the number 360. 8. Find the greatest common factor of 16, 12, and 100. 13. Find the least common multiple of 15 and 21. 18. Jacque earns $9.60 per hour (h). For overtime (each h ...continues

Five-Number Summary, Graphing, Quartiles, Median and Mean

Please see the attached file for the fully formatted problems. The graph and table below give the monthly principal and interest payments for a mortgage from 1999 to 2004. Use this information to predict the payment for 2005. Year Payment 1999 $1,012 2000 $1,073 2001 $1,145 2002 $1,181 2003 $1,236 2004 $1,278 F ...continues

Probability Distribution, Mean, Variance and Weekly Profit

Natway, a national distribution company of home vacuum cleaners, recommends that its salespersons make only two calls per day, one in the morning and one in the afternoon. Twenty percent of the time a sales call will result in a sale. Write out the probability distribution for # of sales during a five-day week. What is the mean ...continues

Combinatorics

See attached Show that for n, t, k>=1, the number of n-element multisets with elements of t types in which exactly k different types of elements occur...

Expected Value

Suppose you want to sell your house and you have decided to accept the first offer exceeding M dollars, say. Assume that the offers are i.i.d. with common distribution F. Find the expected number of offers received before selling the house. I do not really know how to start the problem. I expect that I have to use either the ...continues

Markov's Inequality

Let S be a random variable (not necessarily positive). Prove using Markov's inequality that for every p>0 and for every constant q, P(S>=a) (=<) exp(-pq)E(exp(pS)) Here >= denoted greater than or equal to, and =< denotes less than or equal to.

Providing bounds for random variables.

Please help me with the attached problem

Accounting

On March 1, 2007, Geoffrey Company acquired real estate, on which it planned to construct a small office building, by paying $90,000 in cash. An old warehouse on the property was demolished at a cost of $8,200; the salvaged materials were sold for $1,700. Additional expenditures before construction began included $1,500 attor ...continues

Couple problem

Consider 4 couples (4 husbands and their wives) stand in random order in a line. What is the probability that no husband is lined up directly in front of or directly behind his wife?

Queueing Problem

Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution. This shop only has one garage and one oil change person on duty at any given time. a) On ...continues