A horoscope experiment is done in class to prove that choosi

A horoscope experiment is done in class to prove that choosing the correct horoscope can be modelled as a binomial experiment. Say the class has 15 students, and we know there are 12 astrological signs.

(a) What probability would you assign to a student in choosing the horoscope that matches his astrological sign?

(b) What are the mean and standard deviation of correct matches for the 15 students?

(c) What is the probability that three or more students choose the horoscope that matches the student\' s astrological sign?

(d) How likely is it that 5 matches occur?

Solution

n =15

a) P(particular zodiac sign) =1/12 =0.0833

b) Mean = np = 1.25

std devi = rt npq = 1.070

c) IF x is the no of students selecting the sign required prob=

P(X>=3) = 0.1238

d) P(X=5) = 0.005041