2. When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and each headlight is checked to see whether it is properly aimed. Let X denote the number of headlights that need adjustment, and let Y denote the number of defective tires. a. If X and Y are independent with p(0) = .5, A(1) = .3. Po(2) = 2, and p,(0) = .6, p(1) = .1. py(2) = p;(3) = .05, and p,(4) = .2, display the joint pmf of (x, ) in a joint probability table. b. Compute P(Xs1 and Ys 1) from the joint probability table, and verify that it equals the product P(X= 1)· P(Y< 1). c. What is P(X+ Y = 0) (the probability of no violations)? d. Compute P(X + Y< 1).

Q: a a-b %3D SX

A: Follow step 2nd.

Q: Simplify. v-7 2- 14v+ 49 ?

A:

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Q: 1. a 2 b 4

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A: We can solve this as follows:

Q: and

A:

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A: Let us first find the singular values.

Q: REVIEW: 16) Given: X is the midpoint of both AD and BC. Prove: AABX = ADCX 1) X is the midpoint of…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.