SOLUTION: A certain brand of cookie is sold in a package containing six cookies. Sometimes the cookies are broken. Present the probability distribution for the number of broken (defective)

Algebra ->  Probability-and-statistics -> SOLUTION: A certain brand of cookie is sold in a package containing six cookies. Sometimes the cookies are broken. Present the probability distribution for the number of broken (defective)      Log On


   

Question 464970: A certain brand of cookie is sold in a package containing six cookies. Sometimes the cookies are broken. Present the probability distribution for the number of broken (defective) cookies in a package when the defective rate is 30%. Describe the shape of the histogram. Determine each of the following: mean, median, mode, range, and standard deviation. Find the probability that the number of broken cookies in the package is more than 2.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
p=0.3, q=0.7, n=6
mu=np=6%2A.3=1.8
sigma=sqrt%28n%2Ap%2Aq%29=1.123
(p+q)^6=
0=.118
1=.303
2=.324
3=.185
4=.060
5=.010
6=.001
Graph the above with 0-6 an the x axis and the probabilities on the y axis.
.
Mode=2
median=2
range=6-0=6
.
the probability that the number of broken cookies in the package is more than 2:
.185+.060+.010+.001=.256
.
Ed