1 A physical trainer would like to know if her clients are happy with the service she provides. Which of the following methods would be thebestfor choosing a stratified random sample that is a fair representation of her clients, knowing that 60% of her 100 total clients are female?

Give a survey to the next 30 clients who come to the gym

Call the first 30 clients in alphabetical order to answer the survey

Assign numbers to each of her 100 clients. Place 60 blue poker chips in one drum to represent female clients, and 40 red poker chips in another drum to represent her male clients. Randomly select 18 blue numbered poker chips from the female drum, 12 red numbered poker chips from the other drum, and then survey those clients

Ask the receptionist at the gym to pick every fourth gym member, up to 30, who comes to the gym on family day to survey

2 Which of the following experiments could be used to simulate an event in whichthe probability of success, P(success), is1/3 and the number of successes outof 10 events is desired?

Use a spinner that is divided into four equal parts. Let one color represent successful; the other three colors represent unsuccessful. Spin the spinner 10 times, once for each event.

Use a random number table, with digits 1 and 2 representing successful and the remaining digits representing unsuccessful. Choose 10 digits, one for each event.

Roll a die. Let 5 and 6 represent successful and the other values indicate unsuccessful. Roll the die 10 times, once for each event.

Count out 50 yellow beads and 50 pink beads. Select 10 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

3 Data collected over time show that subway trains depart a given platform 80% of the time. You have designed a simulation to generate departure data using the numbers 0, 1, 2, 3, 4, 5, 6, and 7 to represent on-time departures, and 8 and 9 to represent departures that arenoton time. Use the random number table below, starting with thefirst digitof thefourth rowto generate departure data for 30 trains.

92630 78240 19267 95457 53497 23894 37708 79862 76471 66418 79445 78735 71549 44843 26104 67318 00701 34986 66751 99723 59654 71966 27386 50004 05358 94031 29281 18544 52429 06080 31524 49587 76612 39789 13537 48086 59483 60680 84675 53014 06348 76938 90379 51392 55887 71015 09209 79157 24440 30244 28703 51709 94456 48396 73780 06436 86641 69239 57662 80181 68108 89266 94730 95761 75023 48464 65544 96583 18911 16391