applied mathematics - unit 4: exam

a binomial model shows that two outcomes have the same probability of occurring. in an experiment with 60 trials to test this model, the researcher found that outcome a occurred 36 times. how did the experimental outcome compare to the theoretical model?

the result for outcome a was 6 more than expected.

a psychologist plans an experiment in which subjects draw an object based on a verbal description. for each trial, one person draws, one reads the description, and one records how long it takes to get a successful drawing. from a group of 8 people, in how many ways can the psychologist select a person to draw, a person to read, and a person to record time?

XXX 243

what can you conclude about this experiment? select all that apply.

there are 140 participants that select soft drink a. the analyst expects 325 participants to select soft drink b. the experiment is binomial because there are 2 choices, 500 trials, and each participant is an independent trial.

a candidate for mayor plans to campaign at 5 shopping malls before the election. in how many different ways can the candidate schedule the visits?

120

a polling company plans to create a probability model for a state election. in a telephone survey of 750 residents who stated they were registered to vote, they found that 318 planned to vote for the democratic candidate, 268 planned to vote for the republican candidate, with the remainder were undecided. what is a reasonable probability model for the state election?

22% are undecided. 36% plan to vote for the republican candidate. 42% plan to vote for the democratic candidate.

a behavioral economist studies transportation habits in an urban center. she identifies 4 bus routes that connect to 3 different light rail routes available to participants in the study. before she interviews participants, she must determine the number of possible routes participants can choose to use. which expression represents the number of available options?

4 × 3

a quality control specialist for a large computer store conducted a random sample of 150 laptops from its stock. she found 3 did not turn on and 5 required system updates to run properly. what is a reasonable probability model for the laptops the store has in stock?

94.7% of the laptops will function properly. 3.3% of the laptops will require system updates.

match the expected number of fatalities to the actual number of fatalities.

actual fatalities from diabetes : 35 people expected fatalities from diabetes : 29 people actual fatalities from tobacco use : 25 people expected fatalities from tobacco use : 44 people actual fatalities from high blood pressure : 75 people expected fatalities from high blood pressure : 64 people

a behavioral psychologist plans an experimental sleep study with college students. which statements about this experiment must be true in order to use a binomial model? select all that apply.

each trial is independent. the number of trials is fixed in advance. the only possible outcomes are wake-up or sleep.

in which scenario do you use geometric distribution to solve?

find the probability of not getting tails until the 6th toss of the coin.

a psychologist plans an experiment where each participant selects 3 out of 5 colors. results for 10 participants are in the table. what can you conclude from these results?

gold was chosen by 9 participants.

a social scientist conducts a study with 10 subjects. in which situations is a permutation necessary to determine the number of possible outcomes?

schedule interviews for all 10 subjects. create a seating chart for the 10 subjects around a table.

a psychologist designs an 8-item pain survey asking athletes to identify their level of pain after a football injury. she is considering a 5-point scale. how many different ways could a person answer the survey?

there are 5^8 possible ways to answer the survey with a 5-point scale.