suppose a math class contains 25 students, 14 females (three of whom speak French) and 11 males (two of whom speak French. Compute the probability that a randomly selected student is male, given that the student speaks French.
Answer:
To determine the probability that a randomly selected student is male
Let us assume M for male,F for female & R is french
Now consider,
P(M) = 11/25
= 0.44
P(F) = 14/25
= 0.56
P(R/M) = 2/11
= 0.1818
P(R/F) = 3/14
= 0.2143
Now let us consider the baye's theorem,
P(M/R) = P(M)*P(R/M) /(P(M)P(R/M) + P(F)P(R/F))
now substitute the given known values in above expression
P(M/R) = 0.44*0.1818 / (0.44*0.1818 + 0.56*0.2143)
P(M/R) = 0.4
suppose a math class contains 25 students, 14 females (three of whom speak French) and 11...
Suppose a math class contains 25 students, 14 females (three of whom speak French) and 11 males (two of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is female.
A math class consists of 25 students, 14 females and 11 males. Two students are selected at random to participate in a probability experiment. Compute the probability that a male is selected, then a female.
A finite math class of 50 students is composed of freshmen and sophomores according to the table below. A student from the class is selected at random. Freshmen Sophomores Females 12 8 Males 14 16 a) What is the probability that the selected student is either a male or a freshman? b) What is the probability that the selected student is neither a female nor a sophomore?
(20 pts) A class has three sections. Section has 70 students, 14 of whom received an A on Exam 1. Section 2 has 50 students, 8 of whom received an A on Exam 1. Section 3 has 40 students, 6 of whom received an A on Exam 1. A student is randomly selected from the class. (a) What is the probability the student was in Section 1? (b) What is the probability that the student received an A on Exam...
5. In a math class consisting of 21 students, suppose that 10 of the enrolled students are rated as “very proficient" in math, according to a standardized test. (a) (4 points) Suppose 4 students in the class are randomly selected to form a group and work on a project. What is the probability that all of the students in the group are rated as very proficient in math? (b) (4 points) If 4 students in the class are randomly selected,...
Suppose 56% of students in the school are male. Also, 7% of the males are Math Majors and 3% of the females are Math Majors. A student is chosen at random and found to be a Math Major. Find the probability that this student is male.
8 10 11 12 13 14 OC Suppose that a certain college class contains 58 students. Of these, 28 are sophomores, 36 are social science majors, and 10 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and a social science major? (1) Given that the student selected is a social science major, what is the probability that he is also a sophomore? Write your responses...
A statistics class contains 35 students: 11 undergrads and 24 grad students. Of the undergraduates, 4 are female and 7 are male. Of the grad students, 5 are female and 19 are male. I randomly select a student from the class. What is the probability that the student is male? 19/24 26/9 26/35 7/11
Forty-three percent of the students in the Izmir University of Economics are females. Seven percent of the students in this university are majoring in math department. Four percent of the students are women majoring in math department. If a student is selected at random, (a) the conditional probability that this student is female, given that the student is majoring in math department is ? (b) the conditional probability that this student is majoring in math department, given that the student...
The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) Find the probability that a randomly selected student is male, given that the student is a nursing major (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. Males Females Total Nursing Majors Non-nursing majors Total 1154 2396 3550 91 733 824 1063 663 2726 (a) Find the...