We asked 6 students how many times they rebooted their computers last week. . There were 4 Mac users and 2 PC users. • The PC users rebooted 2 and 3 times. • The Mac users rebooted 1, 2, 2 and 8 times. Let Y₁ be a Bernoulli random variable representing the type of computer of a randomly chosen student (i.e., Y₁ = 0 for MAC user, and Y₁ = 1 for PC user) Let Y₂ be the number of times a randomly chosen student rebooted (so Y₂ takes values 1,2,3,8). (a) Find the joint probability function for Y₁ and Y₂ (b) Find F(1, 1)

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We asked 6 students how many times they rebooted their computers last week.
. There were 4 Mac users and
PC users.
• The PC users rebooted 2 and 3 times.
• The Mac users rebooted 1, 2, 2 and 8 times.
Let Y₁ be a Bernoulli random variable representing the type of computer of a randomly chosen student
(i.e., Y₁ = 0 for MAC user, and Y₁ = 1 for PC user)
Let Y₂ be the number of times a randomly chosen student rebooted (so Y₂ takes values 1,2,3,8).
(a) Find the joint probability function for Y₁ and Y₂
(b) Find F(1, 1)
Transcribed Image Text:We asked 6 students how many times they rebooted their computers last week. . There were 4 Mac users and PC users. • The PC users rebooted 2 and 3 times. • The Mac users rebooted 1, 2, 2 and 8 times. Let Y₁ be a Bernoulli random variable representing the type of computer of a randomly chosen student (i.e., Y₁ = 0 for MAC user, and Y₁ = 1 for PC user) Let Y₂ be the number of times a randomly chosen student rebooted (so Y₂ takes values 1,2,3,8). (a) Find the joint probability function for Y₁ and Y₂ (b) Find F(1, 1)
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