Project #14941 - Biostats

 

1.            For a standard normal random variable Z, find

a.  P( Z < 1.32 ) =

b.  P( 0 < Z < 1.25) =

c.  P( Z > 1.28 ) =

d.  P( -1.72 < Z < 0.82) =

        e.  P( 0.75 < Z < 1.84 ) =

 

2.     Given the following probability distribution, find the population mean and variance.

x             P(x)

1 .2

2 .1

4 .4

5 .3

 

3.            If X is a normal with mean m = 25 and standard deviation s = 2, find

            a.            P ( x > 28 ) =

            b.            P( 22 < X < 27 ) =

 

4.     Given a binomial distribution with a sample of size 15 and the probability of a good item of 0.8, find

a. P(# good items 7) =

b. P(# of good items is less than 7) =

c. P( at least 7 but no more than 9 good items are found)=

d. population mean

e. population variance

 

5.       In a random sample of 1000 people, 200 visited a theme park (like Seaworld).  Construct a 90% confidence interval for the population proportion that visited a theme park.

 

6. How large a sample must be taken to estimate the proportion of households that visit a theme park with 95% confidence to within three percentage points?

 

7.      The average length of time people keep their cars is normally distributed with a sample tandard deviation (s) of 3.5.  If a random sample of 25 resulted in a sample mean of 6.1, obtain a 95% confidence interval on the population mean.

 

8.      Times between uses of a TV remote control during commercials (by males) have a normal distribution.  A random sample of size 36 had a mean of 5.24 with a known standard deviation (s) of  2.40.  Form a 90% confidence interval on the population mean.

 

9.      The average weight of women is approximately normally distributed with a mean of 140 lbs and a standard deviation of 30 lb.  If 36 women are randomly selected to test, find

            a.            the population mean of the sample means

            b.            the population standard deviation of the sample means

            c.    find the probability that the sample mean is less than 135.

 

10.   Assume 10% of men can not distinguish red and green .  In a sample 500 men, find the probability that 45 or less will have this type of color blindness.

 

Subject Mathematics
Due By (Pacific Time) 10/24/2013 12:00 pm
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