40 n instructor who taught 2 sections of Calculus III classes, with respectively
ID: 3365375 • Letter: 4
Question
40 n instructor who taught 2 sections of Calculus III classes, with respectively. The inst 6 and 11 students students are comingfrom the 2nd section 3) 0.0577 4) 0.0747 (the section with more students)? 1) 0.0280 2) 0.0420 is the probability that only 1 selected students are coming from the 1 1) 0.2517 2) 0.2885 5) 0.0163 section? 3) 0.3200 4) 0.1632 5) 0.2098 hat is the probability that no more than 2 students are from the 2nd section? 1) 0.2418 2) 0.2054 3) 0.4126 4) 0.3427 5) 0.2867 A pediatrician wishes to recruit 3 couples, each of whom is expecting their first child, to participate in a new natural childbirth treatment. Let p 27% (a randomly selected couple agrees to participate). Q11. What is the probability that 10 couples must be asked before 3 are found who agree to participate? 1) 0.0751 2) 0.0703 3) 0.0783 4) 0.0640 5) 0.0799 Q12. What is the probability that he need to ask more than 4 couples before 3 are 5) 0.9372 found who agree to participate? 1) 0.9688 2) 0.9237 3) 0.9492 4) 0.9597 Adult human heights are normally distributed with -65 inches and SD-32 inches Q13. What is the probability that a randomly selected adult whose height is lowe 5) 0.0707 than 60 inches. 1) 0.0534 2) 0.0591 3) 0.0649 4) 0.0766 Q14. What is the cutoff point of the upper 30% with the lower 70% of the popula 5) 66.6 1) 66.6781 2) 66.7305 3) 66.8354 4) 66.7830Explanation / Answer
8) P(all students fom 2nd section) = (11/17)*(10/16)*(9/15)*(8/14)*(7/13) = 0.0747
9) P(1 student from 1st section) = (6C1)*(11C4)/(17C5) = 0.3200
10) P(at most 2 students from 2nd section) = [(11C0)(6C5) + (11C1)(6C4) + (11C2)(6C3)]/(17C5) = 0.2054
Formula used: Number of ways for combination divided by total number of ways of selection
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