SOLUTION: Medical research has concluded that people experience a common cold roughly two times per year.Assume that the time between colds is normally distributed with a mean of 160 days an

Algebra.Com
Question 1084190: Medical research has concluded that people experience a common cold roughly two times per year.Assume that the time between colds is normally distributed with a mean of 160 days and a standard deviation of 40 days. a-what is the probability of going 200 or more days between colds ? b- what is the probabilty of going 365 or more days ? c- what is the probability of going between 250 and 320 days? d- what is the probability of getting a cold within 80 days of a previous cold?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
> = (200-160)/40 which is > =+1 or 0.1587.
===================
>=365 days is (365-160)/40=205/40=5.125 or <0.0001 (1.5 x 10^-7)
==================
between 250 and 320 days is z between 2.25 and 4 or 0.0122
<=(80-160)/40 or < = -2 or 0.0228

RELATED QUESTIONS

Medical research has concluded that people experience a common cold roughly two times... (answered by solver91311)
4. Primary care data suggest that many people develop a common cold approximately twice... (answered by CPhill)
Kissing and colds. In a medical study, it was determined that if 800 people kiss someone... (answered by rfer)
In a medical study it was determined that if 800 people kiss someone else, who has a... (answered by flame8855)
A company pays workers with eight years experience $40,000 per year, and workers with... (answered by josmiceli)
In 1867,the USA purchased the territory of Alaska from the Russian Empire.Its 586,412... (answered by ewatrrr)
A pharmaceutical company states that the average number of people that have serious... (answered by Boreal)
It is said that sufferers of a cold virus experience symptoms for 7 days. However, the... (answered by liset)
A car manufacturer is concerned about a fault in the braking mechanism of one of the... (answered by Boreal)