Calculate the following probabilities and indicate which probability distribution model is appropriate in each case. A very good darts player can hit the bull's eye (red circle in the center of the dart board) 65% of the time. What is the probability that he a. hits the bullseye for the 10th time on the 15th try? hits the bullseye 10 times in 15 tries? hits the first bullseye on the third try?

Find the indicated probability.Find the probability of exactly 9 girls in 10 births. Assume that male and female births are equally likely and that the births are independent events.

Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 21% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. |(Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. Yes, because both generators fail about % of the time they are needed, which is low enough to not impact the health of patients. (Round…

Ben buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 7 sugar cookies and 6 oatmeal cookies. What is the probability that Ben randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a sugar cookie? Probability = (Round your answer to 4 decimal places.)