What is P(150 < X1 + X2 + X3 526. 2. Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values µ1, 42, and µ3 and variances ī, º2, and 3, respectively. a. If u= µ2 = µ3 = 65 and , calculate P(X1 + X2+ X3 < 210). P(62<ÃS68). b. Using the µ's and af's given in part (a), calculate P(X2 59) and

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2. Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they
are independent normal random variables with expected values u1, 42, and µz and variances i, 5, and 3, respectively.
,calculate P(X1 + X2+ X3 < 210).
S and of = o
%3D
If µ = 42 = µ3 = 65 and
What is P(150 <X1 + X2 + X3 < 210)?
a.
| P(62 <Ãs68).
Using the µ's and a's given in part (a), calculate P(X2 59) and
Using the u's and ois;
b.
с.
d.
60, ºí = 10, ºž = 12, and º3 = 14, calculate
P(X1 + X2 + X3< 160) and P(X1 + X2> 2X3).
Transcribed Image Text:2. Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values u1, 42, and µz and variances i, 5, and 3, respectively. ,calculate P(X1 + X2+ X3 < 210). S and of = o %3D If µ = 42 = µ3 = 65 and What is P(150 <X1 + X2 + X3 < 210)? a. | P(62 <Ãs68). Using the µ's and a's given in part (a), calculate P(X2 59) and Using the u's and ois; b. с. d. 60, ºí = 10, ºž = 12, and º3 = 14, calculate P(X1 + X2 + X3< 160) and P(X1 + X2> 2X3).
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