Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

6.)The amount of money that a student at Harvard University carries on his/her p

ID: 3135207 • Letter: 6

Question

6.)The amount of money that a student at Harvard University carries on his/her person is normally distributed with a mean of $25 and a standard deviation of $5. What is the probability that a randomly selected Harvard student will have more than $10 on his/her person? (give your answer as a decimal rounded to 4 decimal places)

8.)To qualify for the Police Academy, candidates must score in the top 5% on the General abilities test. The mean and standard deviation of the general abilities test are 300 and 15 respectively. What is the lowest score that a candidate can have and still qualify for the police academy? Your answer should be "rounded up" to the nearest whole number.

10.) For a particular medical study, a researcher wishes to study the middle 50% of the population based on systolic blood pressure. If the mean systolic blood pressure is 120 and the standard deviaion is 12, what is the upper systolic blood pressure reading that would qualify people to be in the study? (round your answer to the nearest whole number)

Explanation / Answer

6)

P( z > 10 -25 / 5 )

P( z > -3) = 1 - 0.00135 = 0.99865

for the other question please post it in a new question!