Use the counting techniques from the last chapter. A bag contains fo.pdf
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Use the counting techniques from the last chapter. A bag contains four red marbles, three green ones, one fluorescent pink one, two yellow ones, and three orange ones. Suzan grabs five at random. Find the probability of the indicated event. She gets all the red ones, given that she gets the fluorescent pink one. Solution Given that she gets the fluorescent pink one, she needs to pick 4 more from remaining 12 marbles Out of these 4 more, she can pick 4 red marbles in 4C4 ways. Total number of ways of selecting 4 marbles from 12: 12C4 Probability of all red picked up = 4C4 / 12C4 = 1/495 = 0.00202.
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Solution
P(Z>2) = 1 - P(Z<= 2)
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dp/dt = 3p - 2p^2
Solution
L Hopital is not necessary to find out the limit of: P(t)=3e^(3t)/(2e^(3t)+1) Instead,
divide top and bottom by e^(3t): So P(t) becomes: 3/(2 + e^(-3t)) As t -> infinity, e^(-3t) --> 0,
so P(t) --> 3/(2 + 0) = 3/2.
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Solution
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Solution
Basically there are two type of Mathematical induction used:
1. Weak Induction
2. Strong induction
For weak induction P(m) is true then P(m +1) will be true.
And for strong Induction If P(n), P(n+1), P(n+2).
Use Separation to demonstrate that the following collections are set.pdf
Use Separation to demonstrate that the following collections are sets. You may assume that Z
and R are sets. 7.1 Positive even integers.
Solution
The question is incomplete. Please post it again. Give Karma if you find this
answer Helpful..
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