According to a​ survey, 61​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly​ selected, and the number cleared by arrest or exceptional means is recorded.   ​(a) Find the probability that exactly 40 of the murders were cleared. ​(b) Find the probability that between 35 and 37 of the​ murders, inclusive, were cleared. ​(c) Would it be unusual if fewer than 19 of the murders were​ cleared? Why or why​ not?

4.The mortality rate for a certain disease is 25%. A random sample of twelve patients with this disease is selected. a.What is the probability that exactly half of the patients selected will die from the disease? b.What is the probability that at least two of the twelve patients will die from the disease?

1. You want to test to see if the claim is correct. A math teacher claims the probability that a person picked at random in Philadelphia is visiting the city is less than 40%.

7. According to a college survey, 22% of all students work full time. In a survey of 14 students, what is the probability that no more than 2 of them work full time?

Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female?   2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?   3. What percent of Spanish speaking students are male?   4. If someone does not speak Spanish what is the probability they are female?

48% of all violent felons in the prison system are repeat offenders. If 44 violent felons are randomly selected, find the probability that   a. Exactly 18 of them are repeat offenders. Correct   b. At most 20 of them are repeat offenders. c. At least 19 of them are repeat offenders. d. Between 14 and 19 (including 14 and 19) of them are repeat offenders.

This problem involves empirical probability. The table shows the breakdown of 98 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force. Marine Air Force Corps 8 12 5 17 Male Female Total Army 25 10 35 Navy 28 8 36 2 10 Total 73 25 98 The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is (Type an integer or decimal rounded to the nearest hundredth as needed.)

55% of all violent felons in the prison system are repeat offenders. If 38 violent felons are randomly selected, find the probability that   a. Exactly 22 of them are repeat offenders. b. At most 20 of them are repeat offenders. c. At least 20 of them are repeat offenders. d. Between 18 and 23 (including 18 and 23) of them are repeat offenders.

In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. A.What is the probability a randomly selected student lives off campus? B. Explain why this is an example of empirical probability.

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…