Suppose that 13% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) a. What is the (approximate) probability that X is at most 30? b. What is the (approximate) probability that X is less than 30? c. What is the (approximate) probability that X is between 15 and 25 (inclusive)?

Movie $5.50 soda $1.75 popcorn $2.25 candy bar $1.10 jeffrey left home with $20 in his wallet. he had a quick lunch that cost $8.47 and went to the movie theater. which of these activities can jeffrey do? a) go to movie and take two friends b) go to movie and have a soda, a popcorn and a candy bar c) go to movie, take a friend, and have a popcorn to share d) go to a movie, have 2 popcorns, 2 sodas, and 2 candy bars eliminate

Complete the truth table a. t, f, f, t b. t f f f c. f t f t d f t f t

In a sample of 2023 u. s. adults, 373 said franklin roosevelt was the best president since world war ii. two u. s. adults are selected at random from the population of all u. s. adults without replacement. assuming the sample is representative of all u. s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.