62% of all students at a college still need to take another math class. If 4...

62% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability that

a. Exactly 2 of them need to take another math class.
b. At most 2 of them need to take another math class.
c. At least 2 of them need to take another math class.
d. Between 2 and 3 (including 2 and 3) of them need to take another math class.

Round all answers to 4 decimal places.

Expert Solution

Solution: Given that n = 4, p = 0.62

a. P(X = 2) = 0.3330

b. P(X <= 2) = 0.49

c. P(X >= 2) = 0.8431

d. P(2 <= X <= 3) = 0.6953

orchestra answered 2 years ago

60% of all students at a college still need to take another math class. If 49...

60% of all students at a college still need to take another math class. If 49 students are randomly selected, find the probability that a. Exactly 26 of them need to take another math class.____ b. At most 31 of them need to take another math class.____ c. At least 28 of them need to take another math class.____ d. Between 25 and 31 (including 25 and 31) of them need to take another math class.____

69% of all students at a college still need to take another math class. If 41...

69% of all students at a college still need to take another math class. If 41 students are randomly selected, find the probability that a. Exactly 30 of them need to take another math class. b. At most 27 of them need to take another math class. c. At least 29 of them need to take another math class. d. Between 23 and 29 (including 23 and 29) of them need to take another math class.

72% of all students at a college still need to take another math class. If 36...

72% of all students at a college still need to take another math class. If 36 students are randomly selected, find the following probabalities. Round your answers to 4 decimal places. a. Exactly 26 of them need to take another math class. b. At most 25 of them need to take another math class. c. At least 24 of them need to take another math class. d. Between 25 and 32 (including 25 and 32) of them need to take...

of all the students admitted to a college,58% take a workshop prior to taking the math...

of all the students admitted to a college,58% take a workshop prior to taking the math placement test. out of all the admitted students, 80% are placed out of the lower level remedial class,while of all students that take the workshop 90% are placed out of remedial class. what is the probability that a random selected newly admitted student will take the workshop and will be placed out of the lower remedial class?

A math department gives all college algebra students a test to test rather or not students...

A math department gives all college algebra students a test to test rather or not students taking college algebra on site perform better on Final than students that take class completely online. The Math department gathers random samples of 40 on-site students (Students who take class in the classroom) and 35 online students. The test score for each student in the random sample is determined. The mean score for the on-site students is 75, with a standard deviation of 12....

A random sample of 900 college students found that 62% study outside of the class less...

A random sample of 900 college students found that 62% study outside of the class less than 2 hours per week. Construct a 90% conﬁdence interval for the proportion of students who study less than 2 hours per week [5 points] . Interpret the results using complete sentences. [5 points]

30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45 college...

30% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45 college students are randomly selected, find the probability that a. Exactly 12 of them major in STEM. _____ b. At most 14 of them major in STEM. ____ c. At least 11 of them major in STEM. _____ d. Between 9 and 16 (including 9 and 16) of them major in STEM. _____

33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34 college...

33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34 college students are randomly selected, find the probability that a. Exactly 12 of them major in STEM. b. At most 10 of them major in STEM. c. At least 9 of them major in STEM. d. Between 7 and 15 (including 7 and 15) of them major in STEM.

27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45 college...

27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 45 college students are randomly selected, find the probability that a. Exactly 13 of them major in STEM. b. At most 12 of them major in STEM. c. At least 9 of them major in STEM. d. Between 8 and 15 (including 8 and 15) of them major in STEM.

29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 33 college...

29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 33 college students are randomly selected, find the probability that a. Exactly 9 of them major in STEM. b. At most 12 of them major in STEM. c. At least 8 of them major in STEM. d. Between 9 and 13 (including 9 and 13) of them major in STEM.

Question