SOLUTION: Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard de
Algebra.Com
Question 129836: Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) What is the probability that the drug will be effective for 2 hours or less?
b) What is the probability that the drug will be effective for 1 hour or less?
c) What is the probability that the drug will be effective for 3 hours or more?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) What is the probability that the drug will be effective for 2 hours or less?
That is the left half of the area under the normal curve; P(x<=2 hrx)= 1/2
---------------------------
b) What is the probability that the drug will be effective for 1 hour or less?
t(1) = (1-2)/0.3 = -1/0.3 = -10/3
P(-10< t < -10/3 for df= large) = 0.000602
------------------------------
c) What is the probability that the drug will be effective for 3 hours or more?
t(3) = (3-2)/0.3 = 1/0.3 = 10/3
P(10/3 < t < 10 for df= large) = 0.000602
==============
Cheers,
Stan H.
RELATED QUESTIONS
Can you please help me with this?
Researchers at a pharmaceutical company have found... (answered by stanbon)
13. A pharmaceutical firm claims that a new analgesic drug relieves mild pain under... (answered by Theo)
A pharmaceutical firm claims that a new analgesic drug relieves mild pain under standard... (answered by textot)
An open label study(where participants are aware of the treatment they are are taking) is (answered by stanbon)
A pharmaceutical company is creating an over-the-counter pain-reliever in the form of a... (answered by ikleyn)
“Dear Dr. Jones,
Our pharmaceutical company now received 47 complaints about the new (answered by Theo)
A study conducted by the research department of a pharmaceutical company claims that the... (answered by stanbon)
a study of postoperative pain relief is conducted to determine if drug A has a... (answered by edjones)
A study conducted by the research department of a pharmaceutical company claims that the... (answered by stanbon)