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Probability Distribution?
Suppose a box contains 100,000 beads, of which 30,000 are black and 70,000 are red. If 10 beads are picked at a random from this box, find the probability that there are:
a) 4 black beads
b) more than 4 black beads
c) at most 6 red beads
d) no black beads
1 Answer
- M3Lv 71 decade agoFavorite Answer
x is bin(10, 0.3)
a. P[4] = 10c4*0.3^4*0.7^6 = 0.2001 <-----
b. P[>4] = 1 - P[< = 4] = 1 - 0.8497 = 0.1503 <-------
c. at most 6 red = at least 4 red = P[>=4] = 0.3504 <------
d. P[0] = 10c0*0.3^0*0.7^10 = 0.7^10 = 0.0282 <--------
