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P(A)=34 PCB) 14 At a certain school, 34% of the students will qualify for financial A and 19% will qualify for financial aid type B. If it is known that 5.1% of the students will qualify for both types of financial aid, find: aid type 5) The probability that a student will qualify for financial aid (at least one of either type A or type B). 53 6) wanted forgot to Subfrut The Probability that a student will qualify for type A and not type B. P(B) = 1-P(B) = 1-.19 = 16.81 MB), 7) The probability that a student will qualify for type A, given that this student qualifies for type B. P(AIB) = 2 P(ANB)_ 0.051 -0.2684 P(13) -19

P(A)=34 PCB) 14 At a certain school, 34% of the students will qualify for financial A and 19% will qualify for financial aid type B. If it is known that 5.1% of the students will qualify for both types of financial aid, find: aid type 5) The probability that a student will qualify for financial aid (at least one of either type A or type B). 53 6) wanted forgot to Subfrut The Probability that a student will qualify for type A and not type B. P(B) = 1-P(B) = 1-.19 = 16.81 MB), 7) The probability that a student will qualify for type A, given that this student qualifies for type B. P(AIB) = 2 P(ANB)_ 0.051 -0.2684 P(13) -19

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 43E
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3 хо- € At a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify for financial aid type B. the students will qualify for both types of financial aid, find: If it is known that 5.1% of 5) The probability that a student will qualify for financial aid (at least one of either type A or type B). *S3 6) we wanted PLANB) 7) 8) The Probability that a student will qualify for type A and not type B. P(B) = 1-P(B) = 1 - 14 = 0.81 The probability that a student will qualify for type A, given that this student qualifies for type B. P(A/B) = P(ANB) -0.2684 P(B) Survived Proof using numbers that qualifying for the two types of financial aid are not independent events. -4 PC Perished Consider the following contingency table regarding passengers on the Titanic: tot Men 338 1352 Women 425+109 2224 316 109 P(A)=34 P(B) <19 EPLANBEOOSI 0.051 -19 = Children 56 338 5324 = 10.1520 2224 forgot to Subtnut 53 tet (1696) 425 109 2224 9) Find the probability that a randomly selected passenger was not a man. 539 2224 = [0.2401] 10) Find the probability of surviving the wreek. 710 0.3169 710 1514 V 0.3159 2224 11) Given that a passenger was a man, find the probability of him surviving the wreck. 0.1519 16 rt.
Transcribed Image Text:3 хо- € At a certain school, 34% of the students will qualify for financial aid type A and 19% will qualify for financial aid type B. the students will qualify for both types of financial aid, find: If it is known that 5.1% of 5) The probability that a student will qualify for financial aid (at least one of either type A or type B). *S3 6) we wanted PLANB) 7) 8) The Probability that a student will qualify for type A and not type B. P(B) = 1-P(B) = 1 - 14 = 0.81 The probability that a student will qualify for type A, given that this student qualifies for type B. P(A/B) = P(ANB) -0.2684 P(B) Survived Proof using numbers that qualifying for the two types of financial aid are not independent events. -4 PC Perished Consider the following contingency table regarding passengers on the Titanic: tot Men 338 1352 Women 425+109 2224 316 109 P(A)=34 P(B) <19 EPLANBEOOSI 0.051 -19 = Children 56 338 5324 = 10.1520 2224 forgot to Subtnut 53 tet (1696) 425 109 2224 9) Find the probability that a randomly selected passenger was not a man. 539 2224 = [0.2401] 10) Find the probability of surviving the wreek. 710 0.3169 710 1514 V 0.3159 2224 11) Given that a passenger was a man, find the probability of him surviving the wreck. 0.1519 16 rt.
the test sheet. probabilities as decimals or precents with 4 significant digits and keep at least 2 decimal places for all other numerical answers. your work for potential partial credit. Show A survey of 100 online shoppers at a certain popular webstore reveals the following probability distribution of the number of items purchased per visit. Assume that p(x) represents the true pdf and is valid. X= 0 1 2 3 - 4 5 Express 6 M (f(x) = ??? .12 .16 .15 .05 .06 0.41 If customers buy 3 or more items, they will receive a discount on shipping costs. What is the probability that the next customer will receive this discount? 0.41 3 al 50.45 Idt 7 .03 .02 Yea Calculate the expected number of items purchased per visit. 305 3) Notice that f(0) is not given. Find the probability that the next customer will not make a purchase. 117 Idr Given that a customer does not make a purchase, there is still a prominent prompt to be added to the website's mailing list for future promotions. Previous experience has shown that roughly 21% of these customers will choose to be added. What is the probability that the next customer will not make a purchase and be added to the mailing list? (Hint: what law from chapter 3 may help with this?) Lolik 15
Transcribed Image Text:the test sheet. probabilities as decimals or precents with 4 significant digits and keep at least 2 decimal places for all other numerical answers. your work for potential partial credit. Show A survey of 100 online shoppers at a certain popular webstore reveals the following probability distribution of the number of items purchased per visit. Assume that p(x) represents the true pdf and is valid. X= 0 1 2 3 - 4 5 Express 6 M (f(x) = ??? .12 .16 .15 .05 .06 0.41 If customers buy 3 or more items, they will receive a discount on shipping costs. What is the probability that the next customer will receive this discount? 0.41 3 al 50.45 Idt 7 .03 .02 Yea Calculate the expected number of items purchased per visit. 305 3) Notice that f(0) is not given. Find the probability that the next customer will not make a purchase. 117 Idr Given that a customer does not make a purchase, there is still a prominent prompt to be added to the website's mailing list for future promotions. Previous experience has shown that roughly 21% of these customers will choose to be added. What is the probability that the next customer will not make a purchase and be added to the mailing list? (Hint: what law from chapter 3 may help with this?) Lolik 15
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