25 A Pizza Hut sells three sizes of pizza: Regular, Medium, and Large. These are priced at $3.00, $3.20, and $3.40 per pizza, respectively. Let X₁, X₂, and X, denote the amounts of these pizzas purchased on a particular day. Suppose X, 's are independent and follows normal distribution with ₁ =1000, ₂ = 500, ₁ = 300 and ₁=100, ₂80,0₁ = 50. The revenue from sales is Y=3.0.X₁ +3.2X₂ +3.4X3. Find the probability that revenue exceeds $4500. Answer Choices: a. 0.8955 b. 0.9955 c. 0.7955 d. 0.0045

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25
A Pizza Hut sells three sizes of pizza: Regular, Medium, and Large. These are priced at
$3.00, $3.20, and $3.40 per pizza, respectively. Let X₁, X₂, and X, denote the amounts of
these pizzas purchased on a particular day. Suppose X's are independent and follows
normal distribution with μ = 1000, μ₂ = 500, μ = 300 and ₁=100, σ₂ = 80,σ; = 50.
The revenue from sales is Y=3.0X₁ +3.2X₂ +3.4X3. Find the probability that revenue
exceeds $4500.
Answer Choices:
a. 0.8955
b. 0.9955
c. 0.7955
d. 0.0045
Transcribed Image Text:25 A Pizza Hut sells three sizes of pizza: Regular, Medium, and Large. These are priced at $3.00, $3.20, and $3.40 per pizza, respectively. Let X₁, X₂, and X, denote the amounts of these pizzas purchased on a particular day. Suppose X's are independent and follows normal distribution with μ = 1000, μ₂ = 500, μ = 300 and ₁=100, σ₂ = 80,σ; = 50. The revenue from sales is Y=3.0X₁ +3.2X₂ +3.4X3. Find the probability that revenue exceeds $4500. Answer Choices: a. 0.8955 b. 0.9955 c. 0.7955 d. 0.0045
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