In January 2021, a sample of 97 students from the RCCC student body was taken.Use the results, shown in the table below, to answer the following questions.(For parts (a)-(f), fill in the probabilities.Give first as a fraction and then as a decimal to the thousandths.You may leave the fraction unreduced.

|Left | Right | Total

Female| 4 | 62 | 66

Male | 4 | 27 | 31

Total | 8 | 89 | 97

Suppose a student is chosen at random from this sample.

a.P(male) = ________ (fraction) ________b. P(left-handed) = ________ ________

c.P(left-handed given male) = ________ ________d. P(male given left-handed) = ________ ________

e.P(left-handed and male) = ________ ________f. P(left-handed or male) = ________ ________

(Show calculation.)

g.Are the events "Male" and "Left-handed" mutually exclusive?Explain your answer.

h.Are the events "Male" and "Left-handed" independent?Explain your answer.