Prob/Stat: Sect. 7.2 Worksheet #2 Name Michael Ceranj ADDITION RULES 1 . Determine whether the following events are mutually exclusive. a. Draw one card from a deck of 52 playing cards: get an Ace; get a Spade NO Yes a. Draw one card from a deck of 52 playing cards: get a Spade; get a Diamond No b. Roll one die: get a prime number (2, 3, 5); get an odd number C . Roll one die: get a number that is a multiple of 3; get a number that is a multiple of 2 d. Select one registered voter: get a Democrat; get a Republican ...... NO e. Select one day of the year: get a day in October; get Halloween Day. yes f . Select one student in Algebra I; select one student in Calculus. 2. Suppose we have a group of politicians: there are 6 Democrats, 3 of whom are female; and 8 Republicans, 2 of whom are female. Construct a two-way table. Let F represent female and D represent Democrats. Fill in the regions with numerical values using the information given. a. Complete the two-way table at the right using the above D DC Total information. Add in totals for each column and each row. F b. Find P(F n D) FC c. Find P(FC U D) Total d. Find P(DC n FC) . . . . . . .. . ...... 3. One hospital employs 200 nurses: 75% of all the nurses are female. 55% of all the nurses are under 35 years of age. 5% of all nurses are male and 35 years old or older. Make a two-way table classifying nurses by gender and by age. Use either percent, probabilities or actual numbers for the table. b. Find P(female and under 35) c. Find P(male and 35 or older) d. Find P(male or under 35)