MATH
Exercise 2

# Exercise 2 - Megan Lawless 1 a There are two outcomes for...

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Megan Lawless 1. a. There are two outcomes for each chip- it works or it doesn’t. The probability of success is 90%. b. The random variable X is the number of working chips we get in 50 chips. N= 50 (50 Bernoulli trials), P= .90 (90% of chips work perfectly). c. d. The histogram is bell-shaped and symmetric. The mean and median is 45. The standard deviation is 1.65434 and the inter-quartile range is 2. 2. a. The random variable is the number of subjects who are cured by the medication. The histogram is bell-shaped and symmetrical. The mean is 24.4 and the median is 25. The standard deviation is 2.28 and the inter-quartile range is 3.5. There is a
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Unformatted text preview: greater standard deviation in this histogram compared to the first, but the overall shape is similar. b. The new medication would have to cure about 27 patients (1 standard deviation above the average for the old medicine). 3. One example of a Bernoulli trial is playing 50 hands of blackjack and coming out ahead. X is the number of successes in the 50 hands. The probability p of winning is . 475. The results would be similar to the first two experiments. The histogram would be bell-shaped and symmetric. The mean would be about 23-24 successes (assuming running 20 simulations)....
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