The following figure is a probability density curve that represents the grade point averages (GPA) of...

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The following figure is a probability density curve that represents the grade point averages (GPA) of the graduating seniors at a large university. Area = 0.62 Area = 0.24 3.2 3.55 3.9 4.25 4.6 Part 1 of 2 Find the proportion of seniors whose GPA is between 3.9 and 4.25. The proportion of seniors whose GPA is between 3.9 and 4.25 is 0.24 Part 2 of 2 What is the probability that a randomly chosen senior will have a GPA greater than 4.25? The probability that a randomly chosen senior will have a GPA greater than 4.25 is 0.05 A sample of size 21 will be drawn from a population with mean 100 and standard deviation 36. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 87. (c) If appropriate find the 90th percentile of x. It is appropriate to use the normal distribution to find probabilities for x. The probability that x will be less than 87 is The 90th percentile of x is It is not appropriate to use the normal distribution to find probabilities for x. The following figure is a probability density curve that represents the grade point averages (GPA) of the graduating seniors at a large university. Area = 0.62 Area = 0.24 3.2 3.55 3.9 4.25 4.6 Part 1 of 2 Find the proportion of seniors whose GPA is between 3.9 and 4.25. The proportion of seniors whose GPA is between 3.9 and 4.25 is 0.24 Part 2 of 2 What is the probability that a randomly chosen senior will have a GPA greater than 4.25? The probability that a randomly chosen senior will have a GPA greater than 4.25 is 0.05 A sample of size 21 will be drawn from a population with mean 100 and standard deviation 36. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 87. (c) If appropriate find the 90th percentile of x. It is appropriate to use the normal distribution to find probabilities for x. The probability that x will be less than 87 is The 90th percentile of x is It is not appropriate to use the normal distribution to find probabilities for x.