The chief loan officer of La Crosse Home Mortgage Company summarized the housing loans extended by the company in 2010 according to type and term of the loan. Her list shows that 65% of the loans were fixed-rate mortgages (F), 26% were adjustable-rate mortgages (A), and 9% belong to some other category (0) (mostly second trust-deed loans and loans extended under the graduated payment plan). Of the fixed-rate mortgages, 41% were 30-year loans, and 59% were 15-year loans; of the adjustable-rate mortgages, 28% were 30-year loans and 72% were 15-year loans; finally, of the other loans, extended, 30% were 20-year loans, 64% were 10-year loans, and 6% were for a term of 5 years or less. (a) Draw a tree diagram representing these data. 20 <=5 15 30 15 30 15 30 15 30 10 20 <=5 10 20 = 5 10 20 <=5 15 30 15 30 10 20 <=5 15 30 (b) What is the probability that a home loan extended by La Crosse has an adjustable rate and is for a term of 15 years? (Round your answer to four decimal places.) (c) What is the probability that a home loan extended by La Crosse is for a term of 15 years? (Round your answer to four decimal places.)

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The chief loan officer of La Crosse Home Mortgage Company summarized the housing loans extended by the company in 2010 according to type and term of the loan. Her list shows that 65% of the loans were
fixed-rate mortgages (F), 26% were adjustable-rate mortgages (A), and 9% belong to some other category (0) (mostly second trust-deed loans and loans extended under the graduated payment plan). Of the
fixed-rate mortgages, 41% were 30-year loans, and 59% were 15-year loans; of the adjustable-rate mortgages, 28% were 30-year loans and 72% were 15-year loans; finally, of the other loans, extended, 30%
were 20-year loans, 64% were 10-year loans, and 6% were for a term of 5 years or less.
(a) Draw a tree diagram representing these data.
20
<=5
15
30
15
30
15
30
15
30
10
20 <=5
10 20 = 5 10 20 <=5 15 30
15
30
10
20
<=5
15
30
(b) What is the probability that a home loan extended by La Crosse has an adjustable rate and is for a term of 15 years? (Round your answer to four decimal places.)
(c) What is the probability that a home loan extended by La Crosse is for a term of 15 years? (Round your answer to four decimal places.)
Transcribed Image Text:The chief loan officer of La Crosse Home Mortgage Company summarized the housing loans extended by the company in 2010 according to type and term of the loan. Her list shows that 65% of the loans were fixed-rate mortgages (F), 26% were adjustable-rate mortgages (A), and 9% belong to some other category (0) (mostly second trust-deed loans and loans extended under the graduated payment plan). Of the fixed-rate mortgages, 41% were 30-year loans, and 59% were 15-year loans; of the adjustable-rate mortgages, 28% were 30-year loans and 72% were 15-year loans; finally, of the other loans, extended, 30% were 20-year loans, 64% were 10-year loans, and 6% were for a term of 5 years or less. (a) Draw a tree diagram representing these data. 20 <=5 15 30 15 30 15 30 15 30 10 20 <=5 10 20 = 5 10 20 <=5 15 30 15 30 10 20 <=5 15 30 (b) What is the probability that a home loan extended by La Crosse has an adjustable rate and is for a term of 15 years? (Round your answer to four decimal places.) (c) What is the probability that a home loan extended by La Crosse is for a term of 15 years? (Round your answer to four decimal places.)
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