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Tony and Yvette are planning to invest some of their savings in bonds. They went to a bank to talk to their investment advisor and they were given two investment options on bonds: the first type of bond pays a 6% interest but with a 3% default rate while the second type pays interest at a rate of 5% with a defaul rate of 2%. In case of a bond default, all the money invested in bonds will be lost. Let X be the returns on the first bond and let Y be the returns on the second bond. Tony and Yvette plan to invest P200,000 of their savings in bond.

a.) find the expected values of X and Y
b.) based on the resukts in (a), which bond should tony and yvette invest in?
Let T be a random variable giving the number of heads in three tosses of a coin.list the elements of the sample space S for the three tosses of the coin and assign a value to each sample point.
let t be a random variable giving the number of heads plus the number of tails in three tosses of a coin.list the elements of the sample space s for the three tosses of the coin and assign a value to each sample point.
A sample of n=25 scores is determined to have a standard error of 2 points. What is the standard deviation for the population from which the sample was obtained?
twenty workers are to be assigned to twenty different jobs, one to each job. how many different assignments are possible?
Suppose a biological cell contains 400 genes.When treated radioactivity the probability that a gene will change into mutant gene is 0.006 and is independent of the other gene.What is the approximate probability that there are at most four mutant genes after the treatment?
A student commutes daily from his house to school. On average, the trip one way takes 24 minutes with a standard deviation of 3 minutes. Assume that the data is normally distributed. What is the probability that the trip will take more than half an hour
A student commutes daily from his house to school. On average, the trip one way takes 24 minutes
with a standard deviation of 3 minutes. Assume that the data is normally distributed. What is the
probability that the trip will take more than half an hour?
The average number of patients admitted per day to the emergency room of a small hospital is 2.5. If, on any given day, there is/are only 9 bed(s) available for new patients,
what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?

In an experiment with a new tranquilizer, the pulse rates (per
minute) of 12 patients were determined before they were given
the tranquilizer and again 5 minutes later, and their pulse rates
were found to be reduced on the average by 7.2 beats with a
standard deviation of 1.8. At the level of significance 0.05,
do we have significant evidence that the mean pulse reduction
with this tranquilizer is less than 9.0 beats?