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

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

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)