The number of automobiles that arrive at a certain intersection per minute has a poisson distribution
with a mean of 5. interest centers around the time that
elapses before 10 automobiles appear at the intersection.
(a) what is the probability that more than 10 automobiles appear at the intersection during any given
minute of time?
(b) what is the probability that more than 2 minutes
elapse before 10 cars arrive?

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).