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For the data below, representing the height of the tomato plants in inches, find if it contains any mild and/or sever outliers. Justify your answer

  1. For the data below, representing the height of the tomato plants in inches, find if it contains any mild and/or sever outliers. Justify your answer by showing all the necessary calculations: 2.5, 3.3, 2.1, 4.8, 0.5, 11.2, 2.4, 3.1, 3.7, 4.0

2. A developer writing computer programs finds that on the average, 9% of the time his program breaks due to minor errors. What is the probability that from 12 program he wrote recently, will break: (Express your answers correct to 4 decimal places)

a) No more than 2 times?

b)Exactly 4 times?

c) Find the mean

d) Find the standard deviation

3. Find the following probabilities. Draw the appropriate graphs to show the areas associated with each probability:

a) P(Z > 1.09)

b) P(Z < -2.31)

c) P(-2.56 < Z <-1.15)

4. The average cost of a new laptop bought by college students is $525 with a standard deviation of $30. If the cost of a new laptop is approximately normally distributed, determine:

a) The probability that a laptop would cost between $450 and $500.

b) The cost of the costliest 10% of the laptops bought by the students

c) If 36 students are asked about the price of their new laptops, what is the probability that the mean cost of their laptop is greater than $510?

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