Answer:
(a) E(X) = 3
(b) Var(X) = 12.1067
Explanation:
(a) E[X]
E[X]T = E[X]T=A + E[X]T=B + E[X]T=C
= (2.6 + 3 + 3.4)/3
= 2.6 (1/3) + 3(1/3) + 3.4(1/3)
= 2.6/3 + 1 + 3.4/3
= 3
(b) Var (X) = E[X²]−(E[X])²
Recall that if Y ∼ Pois(λ), then E[Y 2] = λ+λ2. This implies that
E[X²] = [(2.6 + 2.6²) + (3 + 3²) + (3.4 + 3.4²)]/3
= (9.36 + 12 + 14.96)/3
= 36.32/3
= 12.1067
Var(X) = E[X²]−(E[X])²
= 12 - 3²
= 12.1067 - 9
= 3.1067
You can fund a four-year college degree by either of the following:
1. Loans
Loans can be acquired through federal aid or private means. They must be paid back with interest when the student has graduated. They are guaranteed by the federal government.
2. Scholarships
Scholarships depends on criterias from who will sponsor it. These criterias may include financial need, merits, field of study, etc. There are those who can help students look for a scholarship that fit them like counselors, the government or its agency, community organizations, etc.
3. Work-study programs
They operate with the financial aid office of the school. However, they require the student's determination and financial needs.
Answer:
Explanation:
Number of completed barrels = 216 + (244-216)*60%
= 233 barrels
Cost per barrel = (3245+3230)/233 = 27.8
Cost of oil shipped in pipeline = 216 * 27.8= 6003 millions
Cost of work in process ending inventory = (244-216)*60% * 27.8
= 467.04 million
