Arandom sample of size n1 = 10 is selected from a normal population with a mean of 120 and a standard deviation of 12. a second random sample of size n2 = 15 is selected from a normal population with a mean of 105 and a standard deviation of 20. let m1 and m2 be the two sample means. the two populations are thought to be independent. let x = m1 – m2 find: (d) the expected value and the variance of x. (e) the probability that x exceeds 10. (f) the probability that x is between 12.5 and 17.5.

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

Asix-sided number cube is rolled twice. what is the probability that the first roll is an even numbe and the second roll is a number greater than 4?

Acampus club held a bake sale as a fund raiser, selling coffee, muffins, and bacon and eggs sandwiches. the club members charged $1 for a cup of coffee, 3$ for a muffin , and $4 for a back. and egg sandwich. they sold a total of 55 items , easing $119. of the club members sold 5 more muffins than cups of coffee, how many bacon and egg sandwiches he’s did they sell