Candy has applied at two different stores (Macy\'s and Dillard\'s) in order to e
ID: 2922459 • Letter: C
Question
Candy has applied at two different stores (Macy's and Dillard's) in order to earn money for her college tuition. According to the employment agency, the probability that Macy's will hire her is 23% and the probability that she will be hired by Dillard's is 19%. She is feeling confident because the agency also told her that the probability of getting at least one of the jobs is 38%. What is the probability that she gets job offers from BOTH companies?
62%
20%
15%
4%
Candy has applied at two different stores (Macy's and Dillard's) in order to earn money for her college tuition. According to the employment agency, the probability that Macy's will hire her is 23% and the probability that she will be hired by Dillard's is 19%. She is feeling confident because the agency also told her that the probability of getting at least one of the jobs is 38%. What is the probability that she gets job offers from Macy's but not Dillard's?
19%
20%
15%
4%
Candy has applied at two different stores (Macy's and Dillard's) in order to earn money for her college tuition. According to the employment agency, the probability that Macy's will hire her is 23% and the probability that she will be hired by Dillard's is 19%. She is feeling confident because the agency also told her that the probability of getting at least one of the jobs is 38%. What is the probability that she gets job offers from NEITHER Company?
62%
15%
19%
77%
In order for Alice to graduate with her friends she has to take 9 more classes. None of the courses are prerequisites to the others and she is eligible to take all 9 courses. She decides that she cannot handle taking more than four classes per semester. If she takes 4 classes (and presuming that all classes are available) how many different schedules can she create for next semester?
At a Texas college, 60% of the students are from the southern part of the state, 30% are from the northern part of the state, and the remaining 10% are from out-of-state. All students must take and pass an Entry Level Math (ELM) test. 60% of the students from southern Texas have passed the ELM, 70% of the students from the northern part of Texas have passed the ELM, and 90% of the out-of-state students have passed the ELM. What is the probablity that a randomly selected student has passed the ELM?
70.6%
66.0%
25%
63.3%
62%
20%
15%
4%
Explanation / Answer
First three questions are based on one concept
A: Macy's will hire her thus P(A)=0.23
B: Dillard's will hire her thus P(B)=0.19
P(A or B)=0.38 (given)
thus
a) P(A and B)=P(A)+P(B)-P(A or B)=0.23+0.19-0.38 =0.04 , option D is correct
b) P(A and not B)=P(A or B)-P(B)=0.38-0.19=0.19 so option A is correct
c) P(neither A nor B)=1-P(A or B)=1-0.38=0.62 thus option A is correct
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