Question: Hello need help with my statistics problem. The questions are typed below. Thank you so very much Normal Probability Distribution Instructions: read the scenario and

Hello need help with my statistics problem. The questions are typed below. Thank you so very much

Normal Probability Distribution

Instructions: read the scenario and answer the questions below, round the probabilities and proportions to 4 decimal places.

The graduate Record Examination(GRE) is a test required for admission to many U.S graduate school. Students scores on the quantitative portion of the GRE follow a normal Distribution with mean 150 and standard deviation 8.8. A graduate school requires the students score above 160 to be admitted.

What proportion of combined GRE scored can be expected to be over 160?

What portion of combined GRE scored can be expected to be under 160?

What portion of combines GRE scored can be expected to be between 155 and 160?What is the probability that a random selected student will score over 145 points

What is the probability that a random selected student will score less than 150 points?

what is the percentile rank of a student who earns a quantitative GRE score of 142?

Historical, Department of history NYU has admitted students whose quantitative GRE score is at least the 61st percentile. What is the lowest GRE score of the students they admit?

Determine the 80th percentile and combines GRE scores.

Determine the combines GRE scores that make up the middle 95% of all scores.

Note; someone has asked the question above and recieved an answer but I really need the answers for the questions below. If someone can help me answer the questions below that would be great.

Use the standard normal distribution to determine the following:

68% of the scores lie between what two values?

95% of the scores lie between what two values?

99% of the scores lie between what two values?

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