1.

(Use Computer) Let X represent a binomial randomvariable with n = 400 and p = 0.8. Find thefollowing probabilities. (Round your final answers to 4decimal places.)

	  Probability
  a. P(X ≤ 330)	    Â
  b. P(X > 340)	    Â
  c. P(335 ≤ X ≤ 345)	    Â
  d. P(X = 300)	    Â

2.

(Use computer) Suppose 38% of recent college graduates plan onpursuing a graduate degree. Twenty three recent college graduatesare randomly selected.

a.	What is the probability that no more than five of the collegegraduates plan to pursue a graduate degree? (Round yourfinal answer to 4 decimal places.)

b.	What is the probability that exactly nine of the collegegraduates plan to pursue a graduate degree? (Round yourfinal answer to 4 decimal places.)

c.	What is the probability that at least nine but no more thantwelve of the college graduates plan to pursue a graduate degree?(Round your final answer to 4 decimal places.)

3.

Let the mean success rate of a Poisson process be 7 successesper hour.

a.	Find the expected number of successes in a 27 minutes period.(Round your final answer to 1 decimal place.)

b.	Find the probability of at least 2 successes in a given 27minutes period. (Round your answer to 4 decimalplaces.)

c.	Find the expected number of successes in a two hours 6 minutesperiod. (Round your final answer to 1 decimalplace.)

d.	Find the probability of 14 successes in a given two hours 6minutes period. (Round your answer to 4 decimalplaces.)

4.

(Use computer) Assume that X is a Poisson randomvariable with μ = 28. Calculate the followingprobabilities. (Round your final answers to 4 decimalplaces.)

  a. P(X ≤ 18)	 Â
  b. P(X = 20)	 Â
  c. P(X > 22)	 Â
  d. P(24 ≤ X ≤ 32)	 Â