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1) Let Pn be the probability that three consecutive heads will not appear in n tosses of a fair coin.
a) Show that Pn= 1/2 (Pn-1)+ 1/4 (Pn-2)+ 1/8 (Pn-3)
b) Compute the probability that there will be no three consecutive heads in the ?rst 8 tosses.
2) Suppose that tomorrow's weather-whether it will be wet or dry-will be the same as today's weather with probability p. Let us assume that the weather is dry today and let Pn be the probability that it will be dry n days later.
a) Show that P0 = 1 and Pn=(2p-1)P(n-1) + (1-p) for n>=1
b) Find Pn for n>=0.
What is the relationship between the sign of the correlation coefficient and the sign of the slope of the regression line?
The edges of a triangular homesite have lengths of 2x - 1, x, and x + 2. Write an expression for the perimeter of the property.
Modern aircraft engines are very reliable. One feature contributing to that reliability is the use of redundancy, where critical components are duplicated so that if one fails, the other will work.
Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this product is 35 hours with a standard deviation of 5.5 hours. As part of its testing program Sony tests samples of 16 batt..
the air in poultry-processing plants often contains fungus spores. inadequate ventilation can affect the health of the
would this prove that they are exceeding their goal, using = .025?
The probability that a parolee will commit a crime while on parole is 0.68. A parole officer is in charge of 8 parolees. What is the probability that at least 7 of them will commit a crime while on parole?
A study of long-distance phone calls made from the corporate offices of General Electric revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 5.2 minutes and the standard ..
suppose you estimate a model obtaining wage 0.620 0.506 times educ 2.27 times female were wage is measured in
Briefly describe co relational research. Name a variable from this study and one from the workplace that might prove to provide a co relational relationship
Initially the wheel rotates with an angular speed W, causing the block to rise with a linear speed v = 0.33 m/s. Find the moment of inertia of the wheel if the block rises to a height of = 7.9 before momentarily coming to rest.
Discussion should include a critical reflection on the way in which you completed the market challenge element of the module.
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