Posted by **Hayli** on Wednesday, September 29, 2010 at 9:50pm.

Who is the king of the late night TV? An internet survey estimates that, when given a choice between David Letterman and Jay Leno, 52% of the population prefers to watch Jay Leno. Suppose that you randomly select three late night TV watchers and ask them which of the two talk show hosts they prefer.

a-Find the probability distribution for x, the number of people in the sample of three who would prefer Jay Leno.

b-What is the probability that exactly one of the three would prefer Jay Leno?

c-What are the population mean and standard deviation for the random variable x?

- STATISTICS -
**MathGuru**, Thursday, September 30, 2010 at 12:06pm
Use a normal approximation to the binomial distribution.

Your values are the following:

p = .52, q = 1 - p = .48, x = 1, and n = 3

Find mean and standard deviation.

mean = np = (3)(.52) = ?

sd = √npq = √(3)(.52)(.48) = ?

I'll let you finish the calculations.

Once you have the mean and standard deviation, use z-scores and z-table to find probability.

P(0.5 < x < 1.5) =

P[(0.5 - mean)/sd] < z < [(1.5 - mean)/sd]

Once you have the two z-scores (substitute the mean and sd calculated), find the difference between the two using a z-table. This will be your probability.

I hope this will help get you started.

## Answer this Question

## Related Questions

- Statistics - Who is the king of late night TV? An Internet survey estimates that...
- Math Problem Solving - Jay and Mark run a lawn mowing service. Mark's mower is ...
- Geometry - Jay, Kay, Ray found themselves far apart for lunch while working in ...
- Kate - Jay, Kay, Ray found themselves far apart for lunch while working in a ...
- math - Jay is 150 cm tall. He can reach 55 cm above his head. A ball is thrown ...
- college - In 1980, Jonathan leased real estate to Jay Corporation for 20 years...
- science - jay heated 120mL of water that was 20 degrees celsius to 80 degrees ...
- Geometry - The wheels on Jay's bike each have a 20 inch diameter. His sister's ...
- math - ther is 5/8 of left over , jay eats 2/15 of left over . how much of whole...
- Math/Algebra - dan is 12 inches taller than jay. use X for jay's height. which ...