Amedical test has a 95% accuracy of detecting a condition z if the person has it. it also has a 97% chance to indicate that the person does not have the condition if they really don't have it. if the incidence rate of this disease is 10 out of every 100:

what is the probability that a person chosen at random will both test positive and actually have the disease (i. e., get a true positive)?
what is the probability that a person chosen at random will test positive but not have the disease (i. e., get a false positive)?

Fred has a total of 62 dvd and cd. if the number of cd is three more than two times the number of dvd, how many cd does he have?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

When george started his current job, his employer told him that at the end of the first year, he would receive two vacation days. after each year worked, his number of vacation days will double up to five work weeks (25days) of payed vacation. how many vacation days will he have in 4 years