The probability function for the number of eggs in a clutch laid by a particular type of bird is:
number of eggs | Probability
4 | 0.15
5 | 0.2
6 | 0.2
7 | 0.4
8 | 0.05
a) What is the probability that the clutch is 6 or more eggs?
b) Find the probability that among eighteen females at most fourteen have clutches of 6 or more; what assumption do you need to make to obtain an answer here?
c) An experimenter wants to identify fecund(fertile) females for use in future experiments. She needs 10 birds that produce clutches of 6 or more. How many females would you advise observing to have a probability of at least 0.90 of identifying (at least) 10 suitable birds?
a) 0.2+0.4+0.05 = 0.65
b+c) Not sure how to start these. They are not typical probability distribution, not sure how to make these kind of calculations?
Be very grateful if someone could give me a hand?