Question: 2a) The following table shows a recent study on the relationship between gender and interest in swimming: Like Swimming Dislike Swimming TOTAL Males 250 50

2a) The following table shows a recent study on the relationship between gender and interest in swimming:

Like Swimming Dislike Swimming TOTAL
Males 250 50 300
Females 110 110 220
TOTAL 360 160 520

If a person is randomly selected, identify the probability that the person is

(i) Male

(ii) Female and Likes Swimming

(iii) Male or Likes Swimming

(iv) Female given that the person Likes Swimming

2b) The weight of a bag of grapes is normally distributed with a mean of 600g and standard deviation of 25g.

(i) If a bag of grapes is randomly selected, identify the probability that the weight is between 585g and 623g.

(ii) If 20 bags are randomly selected, report the probability that the mean weight is greater than 610g.

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