SOLUTION: Q4 (a) Statistics show that 3% of products come off the production line unsuitable. If two products are examined what is the probability that (i) both are unsuitable, (

Algebra ->  Probability-and-statistics -> SOLUTION: Q4 (a) Statistics show that 3% of products come off the production line unsuitable. If two products are examined what is the probability that (i) both are unsuitable, (      Log On


   



Question 867207: Q4 (a) Statistics show that 3% of products come off the production line
unsuitable. If two products are examined what is the probability that

(i) both are unsuitable,
(ii) only one is unsuitable
(iii) neither is unsuitable.

(b) A mildew remover is tried out on various mildew patches. It is found
that 40% of mildew is removed on the first application, but the remaining
patches are resistance so that the proportion removed in any subsequent
application is only one half that of the preceding application. Find the
probability that a mildew patch will survive 3 applications.
Q5. The number of butterflies appearing in a garden follows a Poisson distribution
with a mean of 10 butterflies per hour. Find the probability of there being
(a) exactly 5 butterflies in a 30 minute interval,
(b) at most 3 butterflies in a 10 minute interval,
(c) more than 4 butterflies in a 15 minute interval,
(d) exactly 1 butterfly in each of three consecutive 5 minute intervals.
really confused on these questions, help would be nice maybe a solution to how I go about working them out, thankyou

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a)
u=.03, s=.97
.
i).03^2=.0009
.
iii).97^2=.9409
.
ii)1-(.9409+.0009)=.0582
.
Ed