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Provide an appropriate response.A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 60 seconds. The fitness association wants to recognize the boys whose times are among the top (or fastest) 10% with certificates of recognition. What time would the boys need to beat in order to earn a certificate of recognition from the fitness association?

Provide an appropriate response.Assume that the heights of men are normally distributed with a mean of 66.9 inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 67.9 inches.

Provide an appropriate response.The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 3.0 and 5.5 minutes to find a parking spot in the library lot.

In the context of local regression, what does the term ‘weighted least squares’ refer to?

 A step function is most appropriate when

How does the choice of degree of polynomial affect the model prediction?

A patient presents with severe shortness of breath and bilateral crackles. Chest X-ray shows diffuse alveolar infiltrates. Which diagnosis is most likely?

A patient with BRCA1 mutation should be counseled about which additional cancer risk beyond breast and ovarian?

A 70-year-old man presents with lymphocytosis and smudge cells on smear. Most likely diagnosis is:

69.  A 24-year-old man presents with non-tender, symmetrical lymphadenopathy in the cervical and axillary regions for 6 months. No systemic symptoms. What is the most likely diagnosis?