Determining probability that the student is a boy

Reference no: EM1319223

Q1) Two psychologists surveyed 478 children in grades 4, 5 and 6 in elementary schools in Michigan. Among other questions, they asked students whether their main goal was to get good grades, to be popular, or to be good to be good at sports. Question of interest was whether boys and girls at this age had similar goals.

Goals

	Grades	Popular	Sports	Total
Boys	117	50	60	227
Girls	130	91	30	251
Total	247	141	90	478

a) If student is chosen at random, determine the probability that chosen student is a boy?

b) If a student is selected at random, what is the probability that the selected student has as a goal to be good at sports?

c) Provided that selected student is a girl, determine the probability that she is popular?

d) Provided that the selected student excels in sports, determine the probability that the student is a boy?

e) Determine the probability that selected student is a girl and popular?

f) Determine the probability that the selected passenger boy and is good at sports?

g) Determine the probability that student chosen at random excels either at academics or sports?

h) Are the events selected student is at the head of the class academically and selected student is boy independent events? Describe in detail.

Reference no: EM1319223

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