65) Given independent random variables with means and standard deviations as sho
ID: 3326297 • Letter: 6
Question
65) Given independent random variables with means and standard deviations as shown, find the mean 65) and standard deviation of the variable X+ Y. Round to two decimal places if necessary Mean SD X 30 5 Y 40 4 A)=70, = 9 B) = 1200, 6.40 c) =70, =41 D) = 70, = 6.40 E) = 1200, = 9 66) A slot machine at a casino pays out an average of $0.92, with a standard deviation of $110. It costs a 66) dollar to play. If a person plays 8 times, what are the mean and standard deviation of the casino's profit? A) = $0.64, = $311.13 B) $0.64, -$880 C) -$7.36, $880 D) = $7.36, $311.13 E) = $0.64, = $7040 Describe the indicated sampling distribution model. 67) A realtor has been told that 43% of homeowners in a city prefer to have a finished basement. She 67) surveys a group of 300 homeowners randomly chosen from her client list. Describe the sampling distribution model of the proportion of homeowners in this sample who prefer a finished basement A) N(43%, 1.4%) B) Binom(300, 4396) C) N(57%, 2.9%) D) There is not enough information to describe the distribution. E) N(43%, 2.9%) In a large class, the professor has each person toss a coin several times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. Use the 68-95-99.7 Rule to provide the appropriate response 68) If the students toss the coin 100 times each, about 99.7% should have proportions between what two numbers? A) 0.485 and 0.515 B) 0.00075 and 0.99925 C) 0.35 and 0.65 D) 0.0015 and 0.9985 E) 0.15 and 0.2 Find the specified probability, from a table of Normal probabilities. 69) A candy company claims that its jelly bean mix contains 15% blue jelly beans. Suppose that the candies are packaged at random in small bags containing about 200 jelly beans. What is the probability that a bag will contain more than 20% bIue jelly beans? A) 0.9761 B) 0.0239 C) 0.0478 D) 0.9578 E) 0.0422Explanation / Answer
65)
E(x+y)= E(x)+E(y)
=30+40
=70
Var(x+y)=var(x)+var(y)
=5^2+4^2
=25+16
=41
Sd(x+y)= sqrt ( var(x+y))
=Sqrt (41)
=6.403124
Option D
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