Determine the binomial probability formula given the number of trials and the success probability for Bernoulli trials. Let X denote the total number of successes. Round to three decimal places. n = 6, p = 0.6, P(X = 1) OA) 0.048 B) 0.037 C) 0.055 D) 0.600

A variable of a finite population takes values 5, 7, or 8 and has the following frequency distribution:     5 7 8 frequency 25 40 60 Construct a probability histogram for variable X.

Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 42% 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. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needs, the reliability should…

At a certain University, the chance of a student receiving financial aid is 87%. 15 students are randomly and independently chosen. Use R/Rcmdr to find the probability that at most 12 of them are receiving financial aid. ROUND YOUR FINAL ANSWER TO 3 DECIMALS. Choose the most correct (closest) answer below? a.0.6916319 b.0.1204051 c.0.1879631 d.0.3083681