Midterm_Problems

# Midterm_Problems - STA 100 Midterm I Practice Questions For...

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STA 100: Midterm I Practice Questions For all questions you must show your working. This enables us to understand your thought process, give partial credit and prevent crude cheating. 1. Conditional Probabilities: You are part of a research lab investigating genetic factors inﬂuencing susceptibility to a class of rare bone diseases. Having done extensive research your lab has collected the following data on 256 subjects that it believes to be representative of the wider U.S. population: | Gene X Activated Gene X Inactivated | Total --------------------------------------------------------------------- Disease | 31 8 | 39 No Disease | 97 120 | 217 --------------------------------------------------------------------- Total | 128 128 | 256 (a) Using the above data, estimate the proportion of people who have the disease. (b) Estimate the proportion of the people who have Gene X activated. (c) Estimate the chance of a person having the disease if they have Gene X activated. (d) Estimate the chance of a person having Gene X activated if they have the disease. (e) Which of the two previous probabilities is more relevant to your lab? Explain.

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6 8 10 12 14 Boxplot of Hamster/Gerbil Lengths Figure 1: Boxplot of hamster and gerbil lengths (in cm) 2. You are working for a local veterinarian, and encounter some data on the size of hamsters and gerbils sold by a local store. You have data on the length (in cm, head-to-tail) or each of 160 hamsters/gerbils. This data is displayed in a boxplot in Figure 1. (a) Describe what type of distribution this is. (b) The median for this data is 9.8 cm. Provide an estimate of the mean for this data.
6 10 12 14 0 2 4 6 8 10 Histogram of Hamster/Gerbil Lengths x Figure 2: Histogram of hamster and gerbil lengths (in cm) Figure 2b is a histogram of the same data.

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Midterm_Problems - STA 100 Midterm I Practice Questions For...

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