SOLUTION: Pens are sold in packets of 15 pens per packet. The pens are of different colour and 20% are red. a) Show that the probability of a randomly chosen packet of pens containing 3 or

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Question 870619: Pens are sold in packets of 15 pens per packet. The pens are of different colour and 20% are red.
a) Show that the probability of a randomly chosen packet of pens containing 3 or more red ones is 0.602.
b) Jack buys 6 packets of pen. Find the probability that at least 5 of the packets contain 3 or more red pens.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p (red) = .20, n = 15
a) P(x ≥ 3) = 1 - binomcdf(15, .20, 2)= .602
0r
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
1 - P(0) + P(x=1) + P(x=2) = 1 - (.035 + .132 + .231) = 1 - .398 = .602
b) p (red) = .20, n = 6
P(x ≤ 5) = 1 - p(x = 6) = 1 - (.2)^6 = 1 - .0001 = .9999