Geometric distribution with success probability
Suppose X has a geometric distribution with success probability, 1/3.
Determine the probability distribution of Y = X/(X+1) that is provide the possible values of Y and its probability mass function.
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The angle F1 makes with the positive c axis is 30degrees. Given that the resultant force F1+F2 lies in the direction of the X axis, find the magnitude of the resultant force.
The wolf pack needs to kill 3 large animals in order to feed the whole pack. What is the probability that it will need to chase 20 large animals to feed the pack? What is the expected number of chases needed to be able to feed the pack?
There is a certain disease in America which is very rare. The probability of a person having the disease is 1 in 100,000,000. Assume that there are 310,000,000 people in the US.
Determine (a) the exit velocity of the nitrogen and (b) the ratio of the inlet to exit area A /A2. What is the exit velocity? What is the ratio of the inlet to exit area A1/A2?
Suppose X has a geometric distribution with success probability, 1/3. Determine the probability distribution of Y = X/(X+1) that is provide the possible values of Y and its probability mass function.
Find the pdf of U = X/[X + Y], the proportion of time that the machine is in operation during any one operation-repair cycle. Use the pdf of U to find the probability that U is greater than 0.75.
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c. Test the hypothesis using the critical value approach. d. Test the hypothesis using the p-value approach. Construct and interpret the 90% confidence interval
Assuming the wheels do not slip on the ground, determine the angle \theta of the largest incline the jeep can climb at a constant speed v = 30 ft}/s.
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