MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
Answer the following (internal choice):
(a) The probability distribution for the number of students absent in a class on a Saturday is:
x
0
2
4
5
P(X=x)
p
2p
3p
p
where x is the number of students absent.
(i) Calculate p.
(ii) Calculate the mean number of absent students on Saturday.
(b) For a vacancy advertised in a newspaper, 3000 candidates submitted applications. Two-thirds of the applicants were female and the others were male. The probability that a male gets a distinction in the written test is 0.4, and the probability that a female gets a distinction is 0.35. Find the probability that a randomly chosen candidate gets a distinction.