just question 4

4) A market research study is being conducted to determine if a product modification will be well received by the public. A total of 1,000 consumers are questioned regarding this product. The table below provides information regarding this sample. Positive Neutral Negative Reaction Reaction Reaction Male 250 80 100 Female 270 220 220 (a) What is the probability that a randomly selected male would find this change unfavorable (negative)? (b) What is the probability that a randomly selected person would be a female who had a positive reaction? (c) If it is known that a person had a negative reaction to the study, what is the probability that the person is male? 5) In a production run of 450 units, there are exactly 30 defective items and 380 good items. (a) What is the probability that a randomly selected item is defective? (b) If two items are sampled without replacement, what is the probability that both are good? (c) If two items are randomly sampled without replacement, what is the probability that the first is good but the second is defective