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In Sweden, there are 1.5 million primary school teachers. Each teacher teaches only one subject. Percentage...

In Sweden, there are 1.5 million primary school teachers. Each teacher teaches only one subject. Percentage of men among teachers is 0.15. a)Probability that a male teacher is a gym teacher is 0.4, while probability that a female teacher is a gym teacher 0.08. What is the probability that a gym teacher is a man?

b) Teachers teach English regardless of whether they are male or female. There are 7% of the teacher teaching English. What is the probability that one Randomly selected teachers are man and teacher in English?

c)Given information earlier in the task, what is the probability that a married (straight) couple of teachers teach gymnastics and English?

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