Five balls are selected at random without replacement from a jar containing a total of 14 balls (3 black, 5, blue, 6 green).
Note: Give your answer as a fraction in simplest form or as a decimal rounded to three
significant digits.
Find the probability of the given event:
a) All of the balls are blue
b) 2 balls are green, 2 balls are blue, 1 ball is black
c) Exactly two balls are green
d) Three or Four balls are green

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.