Point Estimation in Statistics

20. A random sample of n bike helmets manufactured by a certain company is selecrted. Let X = the number abong n that are flawed ... a. Derive the maximum likelihood estimator ... b. Is the estimator unbiased? c. If n = 20 and x - 3, what is the mle of the probability ... (see attachment for complete question)

Help with determining mass and radius of planets

The instructor posted a formula that he used in Excel but there was no explanation. The formula: =6.67*POWER(10,-11)*3*POWER(10,25)/(64*POWER(10,12) The answer came to 3.27 in calculating G - My problem is understanding this because I have to calculate the mass and radius of 3 planets along with the graviational acceleration and then find the period of a 2 meter long pendulum on each planet for the assignment. None is this is making sense to me.

stat class, 400 level course.

2. Each of the following is a confidence interval for... Please see attached.

stat class, 400 level course.

4. A CI is desired for the true average stray-load loss... Please see attached.

stat class, 400 level course.

14. a. Calculate a (two-sided) confidence interval for true average fracture strength unsing confidence level of .... Please see attached.