Reference no: EM1316776

Q1) Fill weight of certain brand of adult cereal is normally distributed with mean of 920 grams and standard deviation of 10 grams.  If we choose one box of cereal at random from this population, determine the probability that it will weigh less than 895 grams?

a) 0.9938

b) 0.4438

c) 0.0062

d) 0.5000

Q2) A ski resort profits $1,100,000 during good winter with lots of snow.  Resort has loss of $300,000 otherwise.  Resort's historical climate data suggests that probability of good winter with lots of snow during any given year is 30%.  Determine the expected profit for ski resort?

a) 540,000

b) 680,000   

c) 860,000

d) 120,000

Q3) Filling process is supposed to fill jars with 16 ounces of grape jelly.  Specifications state that each jar should contain between 15.95 and 16.05 ounces.  Jar is chosen from process every half hour until sample of 100 jars is obtained.   When fills of jars are measured, it is determined that = 16.02 and s = .02454.  Using s as point estimates of  and, µ, evaluate the probability that randomly selected jar will have fill, x, that is out of specification.  Suppose that process is in control and that population of all jar fills is normally distributed.  

a) 0.0424  

b) 0.1550

c) 0.0804

d) 0.1134

Q4) Employer wishes to set time limit so that 95% of employees will finish job on time.  Past history has illustrated that time required to do the job is normally distributed and has mean time of 35 minutes with standard deviation of 7 minutes.  How much time must employer permit employees to finish job? 

a)  40

b) 37  

c) 29

d) 47

Q5) A.  B. Company purchases calculators from Korean supplier.  Probability of a defective calculator is 10%.  If 3 calculators are chosen at arbitrary, determine the probability that none of the calculators will be defective?

a) 0.972  

b) 0.243

c) 0.028

d) 0.729