A fair six sided die is tossed seven times in a row.
a. What is the probability that a "4" comes up exactly four times
b. What is the probability that a "4 comes up an even number of times
c. What is the probability that a number higher than "4" comes up exactly four times
a. What is the probability that a "4" comes up exactly four times
b. What is the probability that a "4 comes up an even number of times
c. What is the probability that a number higher than "4" comes up exactly four times
-
use binomial distribution
qa
n = 7, p = 1/6, q = 5/6
P[4] = 7choose 4* (1/6)^4 *(5/6)^2 = 0.0156 <--------
qb
computeP[0] + P[2] + P[4] + P[6] likewise
qc
p = 1/3, q = 2/3
P[4] = 7c4 *(1/3)^4 *(2/3)^3 = 0.1280 <-------
qa
n = 7, p = 1/6, q = 5/6
P[4] = 7choose 4* (1/6)^4 *(5/6)^2 = 0.0156 <--------
qb
computeP[0] + P[2] + P[4] + P[6] likewise
qc
p = 1/3, q = 2/3
P[4] = 7c4 *(1/3)^4 *(2/3)^3 = 0.1280 <-------
-
What do you need explained? What don't you understand? You kind of forgot to actually ask a question.