Determining the probability that three farms are owned

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Reference no: EM1316833

Q1) Finishing process on new furniture leaves slight blemishes. Table below shows a manager's probability assessment of number of blemishes in finish of new furniture.

Number of Blemishes	0	1	2	3	4	5
Probability	0.34	0.25	0.19	0.11	0.07	0.04

How many defects would we expect on piece of furniture on average?

a) 0.28

b) 0.85

c) 1.44

d) 0.77

Q2) 30 percent of all households have DVD player. If you choose 20 houses at random, determine the probability that 6 or fewer of them have a DVD player?

a) 0.608

b) 0.416

c) 0.344

d) 0.238

Q3) Let X and Y be 2 random variables with means and variances and, respectively. Which of the given statements is not always true?

a) E(X + Y) = +

b) E(X - Y) = -

c) Var(X + Y) = +

d) Var(X - Y) = + - 2Cov(X, Y)

Q4) It has been evaluated that 30% of all farms are family-owned. In sample of 12 farms, determine the probability that exactly 3 farms are family owned?

a) 0.20

b) 0.30

c) 0.36

d) 0.24

Q5) In box of 16 chocolates, there are 4 chocolates with coconut filling. Determine the probability of selecting 4 chocolates, none of which have coconut fillings?

a) 0.272

b) 0.264

c) 0.248

d) 0.236

Reference no: EM1316833

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