A letter is chosen uniformly at random from {A, B, . . . , Z}. If...
A letter is chosen uniformly at random from {A, B, . . . , Z}. If that letter is one of the vowels (i.e. A, E, I, O or U) then a second letter is chosen uniformly at random from {A, B, . . . , Z}. Let L be the number of letters chosen and let V be the number of vowels chosen.
(i) What is the expected value of L?
(ii) What is the expected value of V?
(iii) Are L and V independent?
(iv) What is the probability that two letters are chosen and that they are equal?
(v) What is the probability that at least one U is chosen?
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A letter is chosen uniformly at random from {A, B, . . . , Z}.
If...
[2] [3] (5) (a) A soccer squad contains 3 goalkeepers, 7 defenders, 9 midfielders and 4...
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can you try these I do not know if they are correct (from e-h mainly) please...
can you try these I do not know if they are
correct
(from e-h mainly)
please check the others if you have the time to
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[2] [3] (5) (a) A soccer squad contains 3 goalkeepers, 7 defenders, 9 midfielders and 4 forwards. (i) In how many ways can a team of 1 goalkeeper, 4 defenders, 4 midfielders, and 2 attackers be chosen from this squad? (ii) Two of the defenders refuse to play together. In how many ways can a team be chosen that contains at most one of these two defenders? (b) Let p and q be real numbers. A random variable X has...
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can you try these I do not know if they are
correct
(from e-h mainly)
please check the others if you have the time to
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