A town has four fire engines operating independently. The probability that a specific engine is available when needed is 0.82. (a) What is the probability that no fire engine is available when needed? (b) What is the probability that a fire engine is available when needed? (a) The probability that no fire engine is available when needed is 018

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

Q1. It is reported that the percentage of people in a small village that have health insurance is 80%. If 17 people are randomly selected, the find the following (a) The probability that 7 of them have health insurance. (b) The probability that at least 10 have health insurance.

Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection? 812 O P(the patient develops an infection) 8650 1 P(the patient develops an infection) = 8650 5738 O P(the patient develops an infection) 8650 O P(the patient develops an infection) = 812 812 O P(the patient develops an infection) 5738

According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded. N=25 P=0.75 ​(c) Find and interpret the probability that exactly 14 flights are on time. ​(d) Find and interpret the probability that fewer than 14 flights are on time. ​(e) Find and interpret the probability that at least 14 flights are on time. ​(f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.   (c) The probability that exactly 14 flights are on time is ____?  ​(Round to four decimal places as​ needed.) Interpret the probability. In 100 trials of this​ experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as​ needed.) Interpret the probability. In 100 trials of this​ experiment, it is expected…

Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.