Use the following contingency table to answer the questions. A random sample of peopleresponded to the question: (4 decimal places)“Do you prefer day classes to night classes?”          Day classes Night classesMale         80           60               140Female     60          100               160               140          160               300 a. What is the probability that a person prefers night classes? ___________________b. What is the probability that a person prefers night classes and is female?___________________c. What is the probability that a person prefers night classes given that they are female?

K The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age 15-19 20-24 25-29 30-34 35-39 40-44 45-54 Number of Multiple Births (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)= (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39) = 90 510 1622 2838 1845 373 119

The accompanying table describes the random variable​ x, the numbers of adults in groups of five who reported sleepwalking. Complete parts​ (a) through​ (d) below.   x ​P(x)     0 0.187     1 0.403     2 0.271     3 0.114     4 0.021     5 0.004       a. Find the probability of getting exactly 4 sleepwalkers among 5 adults.   _______ ​(Type an integer or a decimal. Do not​ round.)   b. Find the probability of getting 4 or more sleepwalkers among 5 adults.   _________ ​(Type an integer or a decimal. Do not​ round.)     c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5​ adults: the result from part​ (a) or part​ (b)?     A. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme​ result, the result from part​ (b) is the relevant probability.   B. Since the probability of getting 5 sleepwalkers…

0.2 Late .rain 0.25 Not late 0.8 0.75 0.1 Late No rain 0.9 Not late Find the probability someone will not be late. = Given that someone will not be late, what is the probability that it rained? =