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Finding probability for the given values of the uniform density curve.
Scores on a test are normally distributed with a mean of 68.2 and a standard deviation of 10.4.Estimated the probability that among 75 at random selected students, at least 20 of them score greater
A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 11 tosses. What is the possibility
Approximate the indicated probability by using the normal distribution as an approximation to the binomial distribution.
A study of the amount of time it takes a mechanic to rebuild transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hour. If 40 mechanics are a
The annual precipitation amounts in a certain mountain range are normally distributed with the mean of 99 inches, and a standard deviation of 14 inches. What is the likelihood that the mean annual
Personal phone calls received in the last three days by a new employee were 5, 4, and 3. Suppose that samples of size 2 are randomly selected with replacement from this population of three values.
Some members of management of Fairface Cosmetics believe that demand for its products is related to promotional activities of local department stores where the cosmetics are sold.
Presume a rare disease infects one out of every1000 people in a population. Assume there is a good, but not perfect test for this disease: if a person has the disease, test come back positives 99 p
Identification of Continuous and Discrete random variables.
Let z represent the standard normal variable and presume a value is randomly selected. Find each of the following probabilities by i) drawing the standard normal curve and indicating the a
The average waiting time in a doctor's office is 55 minutes and the standard deviation is 12 minutes. What is the likelihood that the mean waiting time of 35 randomly selected patients will exceed 1
A light bulb manufacturer claims that their bulbs have a mean life-span of 720 hours with a standard deviation of 80 hours. What is the likelihood that the mean life-span of a sample of 64 at random
Finding Normal probabilities using standard normal table or Excel built in functions.
Make a 95% confidence interval estimate of the true average diameter of the baseballs in this shipment. Does the population of baseballs need to have a diameter that is normally distributed here?
Let z represent the standard normal variable and suppose a value is randomly selected. Find out each of the following probabilities by i) drawing standard normal curve and indicating area
Let z represent the standard normal variable and suppose a value is at random selected. Find each of the following probabilities by i) drawing the standard normal curve and indicating the
Let z represent the standard normal variable and presume a value is randomly selected. Find out each of the following probabilities by i) drawing the standard normal curve and indicating t
A single die is rolled and a coin is tossed. Find the sample space for the two events taken together as a single experiment.
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are coloured red, two are coloured green, and one is coloured yell
There are 33 chocolates in a box, all identically shaped. There are 5 filled with nuts, 13 with caramel, and 15 are solid chocolate. A single chocolate is selected. What is the probabili
A group consists of 6 men and 5 women. A committee of 5 people is to be selected. In how many ways could a committee of 3 men and 2 women be selected.
Make a 95% confidence interval for proportion of highly educated women who left careers for family reasons and who want to return to work.
There are 7 performers who are to present their acts at a variety show. How various different ways could their performances is scheduled.