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Coin 1 has P(Heads) = 0.6, and Coin 2 has P(Heads) = 0.5. Coin 1 is flipped until the first time Tailsappears. Then Coin 2 is flipped until the first time Tails appears. This process is continued, flipping andswitching each time Tails appears.
a). The process starts with flipping Coin 1. Find the expected number of flips until the first switch to Coin2 occurs.
b). What proportion of time, on average, is Coin 1 flipped? [Hint: set up the problem as a two-state Markovchain, and find the stationary distribution]
a balloon rises straight up from the corner of 69th and normal at 10 ftsec. what is the rate of change of the angle of
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A carton can hold 1000 unit cubes that measure
what is the difference between a linear function and a quadratic
if the sides of a square are lengthenedby 8cm, the area becomes 289cm^2. Find a length of a side of the original square.
Applying principles of probability, how can we improve random number generators and make them more unpredictable and thus more realistic? Share your thoughts and possible scenarios.
assuming that there is no damping and that the has is aced on by an external force of 2 cos3t lb, formulate the initial value problem describing the most ion of the mass.
Use a two sided test at the alpha level.
A plane travels 170 miles on a bearing of N 18 degrees E and then changes its course to N 49 degrees E and travels 120 mi . find the total distance traveled north and the east.
In order for a barge to travel 24 mi upriver and then return in a total of 5 hr, approximately how fast must the barge be able to travel in still water? 30. Navigation. The Hudson River flows at a rate of 3 mph. A patrol boat travels 60 mi upriver..
Solve the BVP for the beam where the force is given by f(x) = cos x and the beam is L = π units in length. Determine the location(s) throughout the beam where the deflection is the largest.
A certain club is collecting money for a charity. A local company has agreed to contribute $1 to the charity for every $3 collected by the club. How much money must the club collect in order for the total amount for the charity,
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