using this data, filling in the appropriate numbers and find the probability of
ID: 2908887 • Letter: U
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using this data, filling in the appropriate numbers and find the probability of number cf in the survey who neither exercise outside nor go to a gym. ) A company is looking hire more sales staff. The human resources department accepts only the 4S% of the submitted resumes that meet the hiring criteria. The managers then select 20% of the applicants with accepted resumes to come in for an interview, what is the probability that an applicant selected at random will have her resume accepted and be granted an interview? (b) In one high school, the athletic director found that 4% of the varsity athletes had concussions while playing at the school and 18% had severe sprains and 1% had experienced both. What is the probability that a randomly selected varsity athlete has either had a concussion or a severe sprain? 26/One college found that during one semester 1,259 students in its four most popular majors had the following class distributions. Use the table below to determine the probabilities for a randomly selected student in this group. First year SophomoreJunior Row total 421 370 321 147 1259 Senior Business Psychology 115 90 95 81 45 311 105 91 79 25 300 96 76 14 297 85 63 n8 Biolo Column total351 a/What is the probability of being a business major? b/What is the probability of not being a biology major? c/What is the probability of being a senior and majoring in psychology? d/What is the probability of being a senior or nursing? e/What is the probability of being a senior or biology major? f/What is the probability of being a junior, given being a nursing major? &/What is the probability of being a nursing major, given being a junior? 27/An island is a habitat for 208 species of birds. 82 of these species are found only on this particular island. 75 species are seabirds. 12 are a species of seabird and are found only on this particular island. One species of bird is chosen at random. (a) What is the probability it is a seabird or unique to this island? (b) What is the probability it is neither a seabird nor unique to this island? 28/Professor Jackson is in charge of a program to prepare people for a high school equivalency exam. Records show that 80% of the students need work in math, 70% need work in English, and 55% need work in both areas. Compute the probability that a student selected at random needs math or needs English.Explanation / Answer
Solution :
25.a)
We are given that ,the human resources department accepts only the 45% of the submitted resumes that meet the hiring criteria. The managers then select 20% of the applicants with accepted resumes to come in for an interview.
That is, probability of accepted resumes who meet the hiring criteria P(A) = 0.45
Probability of resumes granted for interview from accepted resumes P(B|A)= 0.20
To find the probability that an applicant selected at random will have her resume accepted and be granted an interview =P( A and B)
So here we use rule conditional probability definition as, P(A and B) = P( B|A)*P(A)
= probability of accepted resumes who meet the hiring criteria *Probability of resumes granted for interview from accepted resumes
= 0.45*0.2 =0.09
25 b.
we are given that, P(Varsity athletes had concussions while playing at the school ) = P(A)= 0.04
P(Varsity atheletes had severe sprains) = P(B) = 0.18
P(varsity athletes had concussions and had severe sprains) =P(A and B) = 0.01
To find the probability that a randomly selected varsity athlete has either had a concussion or a severe sprain, here we use addition rule as,
P( A or B) = P(A) + P(B) - P(A and B)
= 0.04 + 0.18 - 0.01
= 0.21
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