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Consider the following 4 statements

Stat 1 : a is minimal element in the POSET (sLaTeX: \le?) if there is no b LaTeX: \in?S such that a

Stat 2 : An element of a POSET is called maximal if it is not less than any element of the POSET

Stat 3: An element of a POSET is called minimal if it is not less than any element of the POSET

Stat 4 : A POSET will always have a unique minimal element

Choose all the correct choices from the following options:

a) Stat 1 is True and Stat 3 is True

b) Stat 2 is True but Stat 4 is False

c)Stat 3 is False and Stat 4 is False

d) Stat 2 is False but Stat 3 is True

Briefly explain the answer (based on above options)

PI An B ) = o Yes , mutually exclusive as both events do not occure simultaneously 2 1 P( hove state n Heh) = o Yes , mutually exclusive 3) Pl tove state nc)= not mutually exclusive 41 Pl Hate state n A) = 1 2 . mutually exclusive option ( Al Q 1B ) are mutually exclusive Brent CS Scanned with CamScanner21. The SH2 domain of STAT proteins plays a key role in cytokineseceptor signaling. This domain can bind to phosphotyrosine ... A) on an activated receptor molecule, or (intramolecularly) on the same STAT molecule. B) on a Janus kinase molecule, or (intramolecularly) on the same STAT molecule. on an activated receptor molecule, or on another STAT molecule in a dimer. on a Janus kinase molecule, or on another STAT molecule in a dimer. E) on the same STAT molecule or on another STAT molecule in a dimer.20. In the mammalian eye, the lens is composed of a large number of cells called lens cells. Only lens cells along the edges are close to a blood supply where they exchange nutrients and waste molecules. Lens cells in the middle of the lens are connected via gap junctions. Cataracts appear as a cloudiness that develops in the lenses of the eye, often with age. Biologists have suspected that cataracts result from a disruption in intercellular communication between lens cells through gap junctions. Which type of investigation would best provide more information about whether gap junctions are involved in cataract formation? Engineer mice to carry a mutation that knocks out connexin protein, and test to see whether these mice develop cataracts at a younger age than control mice. O Break open lens cells that have developed cataracts, isolate the cytoplasmic fraction, and test it for elevated nitric oxide levels. Quantitatively compare mRNA transcripts in lens cells that have been affected by cataracts, and compare them to unaffected controls. O Measure CAMP levels inside lens cells that have developed cataracts, and compare them to controls without cataracts. Count the gap junctions in lens cells, and compare to the number of gap junctions found in other cells, such as heart cells