statistics 6.2

Describe the complement of the given event. 78% of graduates at a local high school are attending college out-of-state. The _% of graduates who are not attending college out-of-state

22%

Determine whether the following events are mutually exclusive. Choosing a student who is a mathematics major or a philosophy major from a nearby university to participate in a research study. (Assume that each student only has one major.)

Mutually exclusive

Determine whether the following events are mutually exclusive. Choosing a diamond or a black card out of a standard deck of cards a) mutually exclusive b) not mutually exclusive

Mutually exclusive bc you cant draw a diamond that is a black card from a deck of cards

If a reporter stops a random senator after the vote, what is the probability that the senator will either be a Democrat or will have voted for the bill? Express your answer as a simplified fraction or a decimal. Do not round any intermediate calculations. republican voted for 24 republican voted against 19 democrat voted for 44 democrat voted against 7 other voted for 1 other voted against 5

.76 since they are not mutually exclusive you use P(A)+P(B)-PA and B) so it would be (51/100)+(69/100)-(44/100) to get .76

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 4? Express your answer as a fraction or a decimal number rounded to four decimal places.

.8333 30 possible pairs divided by total number of outcomes (36) to get .8333

what is the probability that a customer is not male or does not live in a dorm? express your answer as a fraction or a decimal number rounded to 4 decimal places. apartment M 218 - apartment F 247 dorm M 94 - Dorm F 100 with parents M 297 - with parents F 95 frat/soro M 87 - frat/soro F 208 other M 274 - other F 275

.95 you take number of males that live in dorm divided by the total number and get 94/1895 to get .050 then you take that and subtract it to 1 like: 1-.050 to get .95 1-P(E)

Find the number of outcomes in the complement of the given event. Out of 218 high school students in their junior year, 145 are right-handed.

73 218-145=73 outcomes

determine whether the following could be a probability. -0.21 yes no

NO

determine whether the following value could be a probability 0.2 yes no

Yes

Determine whether the following events are mutually exclusive. Choosing a three or a club out of a standard deck of cards a) mutually exclusive b) not mutually exclusive

not mutually exclusive bc you can draw a three that is a club from a deck of cards