2. Suppose a farmer has many strawberry plants of two different varieties: 40% are varietyA and 60% are variety B. The yield for variety A plants is approximately normallydistributed, with a mean of 28 oz and a standard deviation of 4 oz. The yield for varietyB plants is also approximately normal, with a mean of 35 oz and a standard deviation of 7oz.a. Overall, what proportion of her plants yield more than 30 oz? (5pt)b. If you randomly select a plant that yielded less than 30 oz, what is the probabilitythat it was variety A? (4pts) 3. Researchers have discovered a new genetic marker for a form of cancer. Twelve percentof the overall population carry this marker, and of all the people who develop this cancer,38% carry the marker. Suppose that the total frequency of cancer incidents in thepopulation is 2.2%. What is the probability that a person with the marker developscancer? (3pt)
2. Suppose a farmer has many strawberry plants of two different varieties: 40% are varietyA and 60% are variety B.
The yield for variety A plants is approximately normallydistributed, with a mean of 28 oz and a standard deviation of 4 oz. The yield for varietyB plants is also approximately normal, with a mean of 35 oz and a standard deviation of 7oz.a.
Overall, what proportion of her plants yield more than 30 oz? (5pt)b. If you randomly select a plant that yielded less than 30 oz, what is the probabilitythat it was variety A? (4pts)
3. Researchers have discovered a new genetic marker for a form of cancer. Twelve percentof the overall population carry this marker, and of all the people who develop this cancer,38% carry the marker. Suppose that the total frequency of cancer incidents in thepopulation is 2.2%. What is the probability that a person with the marker developscancer? (3pt)
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