SOLUTION: The probability distribution of x, the number of defective tires on a random automobile at an inspection station, is given in the following table: x = 0, 1, 2, 3, 4 P(x) = .5

Algebra.Com
Question 856127: The probability distribution of x, the number of defective tires on a random automobile at an inspection station, is given in the following table:
x = 0, 1, 2, 3, 4
P(x) = .54, .16, .06, .04, .20
What is the standard deviation of x?
What is mean value of x?
Calculate P(1 < x What is probability there were no more than 3 defective tires?
What is P(x>3)?
What is P(x Thanks for your time!

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Expected value and SD
n p np n*n*p
0 0.54 0 0
1 0.16 0.16 0.16
2 0.06 0.12 0.24
3 0.04 0.12 0.36
4 0.2 0.8 3.2
1.2 3.96
variance = 3.96 - (1.2)^2 = 2.52
SD = = 1.5875
mean = 1.2
P(x ≥ 3)
Using TI: The syntax is normalcdf(smaller, larger, µ, σ)
Note: 100 is used as the larger value to be at least 5 standard deviations from the mean.
P(x ≥ 3) = 1 - normalcdf(3,100,1.2, 1.5875)
RELATED QUESTIONS

The probability distribution of x, the number of defective tires on a random automobile... (answered by ewatrrr,Theo)
in a lot of 20 tires, 3 are defective if you pick 4 tires at random what is the... (answered by ewatrrr)
For the quality control purposes, suppose that a sample of 1600 tires of the same type... (answered by Boreal)
Twenty tires are tested to see if they last as long as they claim they do. Three tire... (answered by Boreal)
Hello! I am doing probability distributions and finding the mean and standard deviation... (answered by robertb)
You bought a new set of four tires from a manufacturer who just announced a recall... (answered by reviewermath)
An electronics store receives a shipment of 50 flat screen TVs of which 6 are defective.... (answered by rothauserc)
A random sample of 10 resistors is to be tested. From experience, it is known that the... (answered by Theo)
A bag contains 200items of which 20items are defectives.seven items are selected at... (answered by stanbon)