Unknown probability p of heads

Assignment Help Basic Statistics

Reference no: EM13963864

Let X1,..., Xn be a random sample recorded as heads or tails resulting from tossing a coin n times with unknown probability p of heads. Find the MLE pˆ of p. Also using the invariance property, obtain an MLE for q = 1 - p. How would you use the results you have obtained?

Reference no: EM13963864

Questions Cloud

Find the mass of the flywheel : The total fluctuation of speed is not to exceed ± 1.8% of the mean speed. If the radius of gyration of flywheel is 0.7m, find the mass of the flywheel.

Find the frequencies of the first three harmonics : A tuning fork is sounded above a (narrow) resonating tube as in lab. The first resonant situation occurs when the water level is 0.08 m from the top of the tube, and the second when the level is at 0.24 m from the top. Let vsound = 340 m/s.

Representing the time between successive arrivals : Let X be a random variable representing the time between successive arrivals at a checkout counter in a supermarket. The values of X in minutes (rounded to the nearest minute) are

Determine reaction on the cross head guides : Determine Reaction on the cross head guides, Thrust on the crank shaft bearings and (iii) Torque on the crank shaft

Unknown probability p of heads : Let X1,..., Xn be a random sample recorded as heads or tails resulting from tossing a coin n times with unknown probability p of heads. Find the MLE pˆ of p. Also using the invariance property, obtain an MLE for q = 1 - p. How would you use the re..

Geometric distribution-probability of success : Let X1,..., Xn be a random sample of size n from the geometric distribution for which p is the probability of success. (a) Use the method of moments to ?nd a point estimator for p.

Determine the net load on the gudgeon pin : The gas pressure on the piston is 6 kg/cm2 when it has moved 1.5 cm from the inner dead centre on its power stroke - Determine the net load on the gudgeon pin when the engine runs at 2000 rpm . At what speed this load will be zero ?

Calculate the entropy of a mole of oxygen : Calculate the chemical potential of oxygen in earth's atmosphere near sea level, at room temperature. Express the answer in electron-volts.

Problem regarding the number of sids-related deaths : In a random sample of 5000 infants between the ages of 28 days and 1 year, what is the approximate probability that the number of SIDS-related deaths will be at least 10? Interpret your results and state any assumptions.

User Account

All Pages