Introductory statistics, probability (standard distribution, binomial distribution)

Not sure if I'm allowed to put more than one question in each, but lets go:
A coffee machine fills a cup with a volume of coffee standard distributed with an expected 2.1dl and a standard deviation of 0.15dl. The cups used take a volume of coffee with an expected value of 2.5dl, with a 0.1dl deviation. The cup and coffee machine are independent. What is the probability of the coffee overflowing?

The probability of a customer having a bad experience with an online store is 21%. Consider the 180 next customers. What's the probability at most 27 of them have a bad experience. (with and without continuity correction)

A stockbroker picks stocks for a client. Some stocks are "good", some are not. The picks are independent and the broker has constant probability (p) to pick a "good stock". "Good stocks" are binomially distributed. It is known that 9/26 have been winning stocks in the past. Decide a point estimate for P.

Answer

Answers can be viewed only if
  1. The questioner was satisfied and accepted the answer, or
  2. The answer was disputed, but the judge evaluated it as 100% correct.
View the answer

1 Attachment

The answer is accepted.