Quiz1Solutions

# Quiz1Solutions - June Answer 1-0.9=0.1(c Find the...

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STA 3032 - Section 7661 - Fall 2011 - Quiz 1 Please write your name and UF ID number and answer all questions on the paper that is provided to you. Do not write on the quiz sheet. Anything you write on the quiz sheet will not be graded. Show all work. 1. Please the median of the following sample: 100, 150, 220, 221, 231, 236, 237, 284, 300, 450, 456, 700 Answer: 236.5 2. As a conservation measure, a water company provides a low rate to households that use less than 10,000 gallons per month. Let M be the event that a house-hold gets the low rate in May, and let J be the event that the same house-hold gets the low rate in June. Suppose P ( M ) = 0 . 7, P ( J ) = 0 . 8 and P ( M J ) = 0 . 6. ( Hint : You may ﬁnd that constructing a Venn diagram is helpful.) (a) Find the probability that the house-hold gets the low rate in either May, June, or both. Answer: 0.7+0.8-0.6 = 0.9 (b) Find the probability that the house-hold gets the low rate in neither May nor
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Unformatted text preview: June. Answer: 1-0.9=0.1 (c) Find the probability that the house-hold gets the low rate in May but not June. Answer: 0.7-0.6 = 0.1 3. DNA molecules consist of chemically linked sequences of the bases adenine, guanine, cytosine, and thymine, denoted A, G, C, and T. A sequence of three bases is called a codon . A base may appear more than once in a codon. (a) How many diﬀerent codons are there? Answer: 4 3 = 64 (b) The bases A and G are purines , while C and T are pyrimidines . How many codons are there whose ﬁrst and third bases are purines and whose second base is a pyrimidine? Answer: 2 3 = 8 4. Ten engineers have applied for a management position in a large ﬁrm. Four of them will be selected as ﬁnalists for the position. In how many ways can this selection be made? Answer: ( 10 4 ) = 10! 4!6! = 210...
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