1) 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) 1 hour or less?
c) 3 hours or more?

2) Life span for red foxes follow an approximately normal distribution with mean 7 years and standard deviation 3.5 years.
a) Find the probability that a red fox chosen at random will live at least 10 years.
b) Find the probability that a random sample of 4 red foxes will have a sample mean life span of over 10 years.

3) Margot has found that the mean time to run a job at the college copy center is 12.6 minutes with standard deviation 10 minutes. She selects a random sample of 64 jobs.
a) What is the probability that the sample mean copying time is between 14 and 15 minutes?
b) What is the probability that the sample mean copying time for this sample is between 10 and 12 minutes?

Solution Preview

1) 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?
Z=(2-2)/0.3=0 Look at table for standard normal distribution and look for value at ...

Solution Summary

This solutions addresses three questions on probability.

Probability and Set Theory (25 Questions). ... one alternative that best completes the statement or answers the question. ... be formed using the digits 0, 1, 2, 3, 4, 5 ...

... Answers Multiple Choice questions on Probability Distributions. Question 1 Multiple Choice Fifty-three percent of the population possesses characteristic X. If ...

... x P(x) 0 0.646 1 0.224 2 0.087 3 0.024 4 0.014 5 ... number of questions answered correctly is 5.4 with a standard deviation of 1.7 questions. Solution- Question 8. ...

... 10. What are the three measures of central tendency ... addresses 10 short-answer basic statistic questions. ... its characteristics is the probability density function. ...

... 1= At 1 5346 2 7812 3 6513 4 ... explanations to 50 Multiple choice questions on Random ... Carlo Process, Mutually Exclusive Events, Probability Distribution, Joint ...

... Below is the text that represents the brief description of the actual questions. Question (1) Given, f(x) = ( x + 2 )(2x - 3) , f (- 2 ) = ? Question (2) The ...

... Multiple Choice Questions (2 points each ... A. Random experiment B. Sample Space C. Probability D. A complement E ...3. In which of the following are the two events A ...

...Questions 4,10,23 of Section 3 are incomplete. Answers are Given in Green Color. Question 1 4 points Save. The probability that house sales will increase in the ...