Statistics and Probability Answers

C. Solve. Given a population of the scores of BSHS honor students in Mathematics as 1, 3, 4, 6, and 8. Suppose a sample size of 3 have to be drawn from it for the first, second and third rank;

The probabilities that Dorothy will join the Mathematics, English and Judo clubs are 0.4,

0.45 and 0.55, respectively. The probability that she will join both the Mathematics and

English clubs is 0.2. If Dorothy has decided to join the Mathematics club, the probability that

she will not join the Judo club is 0.6. If Dorothy has decided to join both the Mathematics

and English clubs, the probability that she will not join the Judo club is 0.7. On the other

hand, if Dorothy has decided to join the Judo club, the probabilities that she will join the

English club become 0.4.

(a)

What is the probability that Dorothy will join either the Mathematics club or the English club?

(b)

What is the probability that Dorothy will join all the three clubs?

(c)

What is the probability that Dorothy will join only one club?

The following data shows the number of hours that 11 students spent studying

7;14;5;0;2;7;10;4;0;8;16

The mean hours of study time for the students is?

The following data shows the number of hours that 11 students spent studying

7, 14, 5, 0, 2, 7, 10, 4, 0, 8, 16

1. The mean hours of study time for the students is?

The Samsung cell-phones require repair of possible defects on LCD screen and the charging system. Dealers have been informed that 2% of the Samsung phones have defective LCD screens and only 4% of them have defective charging system. If 98% of the Samsung cell-phones have either defective, what percentages of the Samsung cell-phones have both defects?