Given two normally distributed populations with means (₁, ₂) = (88, 83) and standard deviations (01,02) = (44, 52), respectively, what is the probability that samples of size n₁ = 78 and n₂ = 79 will yield a value of 1 - 2 greater than 3 but less than 14 ? O e. 0.4819 O c. 0.4814 O d. 0.9648 O a. 0.0643 O b. 0.1422

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Given two normally distributed populations with means (μ₁, ₂) = (88, 83) and standard deviations
(01,02) = = (44, 52), respectively, what is the probability that samples of size n₁ = 78 and n₂ = 79
will yield a value of 1-2 greater than 3 but less than 14 ?
O e. 0.4819
O C. 0.4814
O d. 0.9648
a. 0.0643
O b. 0.1422
Transcribed Image Text:Given two normally distributed populations with means (μ₁, ₂) = (88, 83) and standard deviations (01,02) = = (44, 52), respectively, what is the probability that samples of size n₁ = 78 and n₂ = 79 will yield a value of 1-2 greater than 3 but less than 14 ? O e. 0.4819 O C. 0.4814 O d. 0.9648 a. 0.0643 O b. 0.1422
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Step 1: Given information

μ1=88,μ2=83,σ1=44,σ2=52,n1=78,n2=79

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