A shipping company handles containers in three different sizes. 1. 27 ft³ (3 × 3 × 3) 2. 125 ft3 3. 512 ft³ Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With µ; = E(X;) and σ;² = V(X;), suppose that the mean values and standard deviations are as follows. = M1 = 300 01 8 = 50 = 150 M2 из σ2 = 10 оз = 12 Suppose that the X's are independent with each one having a normal distribution. What is the probability that the total volume shipped is at most 100,000 ft³? (Round your answer to four decimal places.) USE SALT You may need to use the appropriate table in the Appendix of Tables to answer this question.

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A shipping company handles containers in three different sizes.
1. 27 ft³ (3 × 3 × 3)
2. 125 ft3
3. 512 ft³
Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With µ; = E(X;) and σ;² = V(X;), suppose that the mean values and standard deviations are as follows.
=
M1 = 300
01 8
= 50
= 150
M2
из
σ2 = 10 оз = 12
Suppose that the X's are independent with each one having a normal distribution. What is the probability that the total volume shipped is at most 100,000 ft³? (Round your answer to four decimal places.)
USE SALT
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:A shipping company handles containers in three different sizes. 1. 27 ft³ (3 × 3 × 3) 2. 125 ft3 3. 512 ft³ Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With µ; = E(X;) and σ;² = V(X;), suppose that the mean values and standard deviations are as follows. = M1 = 300 01 8 = 50 = 150 M2 из σ2 = 10 оз = 12 Suppose that the X's are independent with each one having a normal distribution. What is the probability that the total volume shipped is at most 100,000 ft³? (Round your answer to four decimal places.) USE SALT You may need to use the appropriate table in the Appendix of Tables to answer this question.
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