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
Is there more to this question??? What do you need to know??
Answer:
they have the prime market I think? I don't see any options on here to know what direction the question is going.
Answer:
(i) 900 CDs
(ii) Greater than; $1,650
Explanation:
(1) Break-event point will be when the contribution margin from total sales is equal to fixed costs,
Contribution Margin = Selling price - variable cost
= $(21.5 - 9.5)
= $12
Contribution Margin *Number of CDs sold = $10,800
Break-even point for Studio A = 10,800 ÷ 12
= 900 CDs
(2) Studio A would be more profitable when the extra profit earned from per unit sale of CD exceeds the extra fixed cost given in Studio A.
Extra Contribution margin in Studio A = $(12-10)
= $2
Extra Fixed cost in Studio A = $(10,800 - 7,500)
= $3,300
Studio A should be chosen if sales is greater than (3300/2) = $1,650.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wtjfavyw
