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.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Suppose a manufacturing company makes a certain item the

suppose a manufacturing company makes a certain item. the time to produce each item is normally distributed around a

  In a recent study on gender differences in education a

in a recent study on gender differences in education a sample of 7 boys had a mean score of 18.8 and a standard

  Difference b/w a discrete and a continuous random variable

Explain the difference between a discrete and a continuous random variable. Give two examples of each type of random variable.

  The 10 year survival rate for bladder cancer is

the 10 year survival rate for bladder cancer is approximately 50. if 20 people who have bladder cancer are properly

  What is the dependent variable

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. What is the dependent variable

  Normal-approximation to the binomial-distribution

Use the normal approximation to the binomial distribution and part (b) to answer the question: What is the probability that a seat will be available for every person who shows up holding a reservation?

  Probability that average for sample is between a range

Assuming that the distribution of the salaries is normal, what is the probability that the average for this sample is between $36,000 and $42,000.

  Ordered logit model

When there are multiple observations per subject, what issues are there with doing a MNL and an ordered logit model, answer in detail and provide example.

  Probability that sample of pencil leads have average mir

What is the probability that the sample of 16 pencil leads will have an average MIR between 6400 and 6550 psi? What assumptions did you make when answering the previous questions?

  Determine the sampling distribution for the mean difference

question 1 a company sells packets of biscuits that they claim on average contains at least 20 g biscuits in each

  Pobablity that the entire batch will be accepted

A company has just manufactured 1694 CDs and 376 are defective. If 9 of these CDs are randomly selected for testing, what is the probablity that the entire batch will be accepted?

  Fixed and variable costs alternatives

You are working on an analysis of your company's current cost structure reviewing the various fixed and variable costs within your firm. Your objective is to maximize your firms profit.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd