Q1) Determine the mean, variance, and standard deviation of number of wooden sailboats constructed in month, using the probability distribution in
|
x
|
p(x)
|
|
2
|
02
|
|
3
|
02
|
|
4
|
03
|
|
5
|
0.1
|
|
6
|
01
|
|
7
|
0.05
|
|
8
|
0.05
|
Number of wooden sailboats constructed per month in small shipyard is .rr.iminm variable with following probability distribution:
a) Determine probability that number of boats constructed next month will be between 4 and 7 (both inclusive).
b) Determine the cumulative distribution function of X
c) Use F(x) computed in (b) to estimate probability that number of boats constructed in month will be less than or equal to 6.
d) Determine the probability that number of boats made will be greater than 3and less than or equal to 6.