math
posted by vilma .
Suppose the income (in tens of thousands of pesos) of employees at University
X can be approximated by a continuous distribution with density
f(x) =
(
2x2; if x 2
0; if x < 2
Find the probability that a randomly chosen employee has an income between P30,000
and P50,000.
2. 9 pts.
(a) Determine the value of c so that the following function is a probability density
function (pdf):
f(x) =
8>>><
>>>:
15
64
+
x
64
; if 2 x 0
3
8
+ cx; if 0 < x 3
0; otherwise
(b) Find P(1 X 1).
(c) Find F(x), the cumulative density function.
3. 12 pts. Let X be a standard normal random variable. Find the following:
(a) P(0 X 1:42)
(b) P(0:73 X 0)
(c) P(1:37 X 2:01)
(d) P(X 1:13)
4. 5 pts. A fair die is tossed 180 times. Find

This is the third time you've posted this question within the last hour and a half! Please do not post any more questions.
Respond to this Question
Similar Questions

Statistics
If Y1 is a continuous random variable with a uniform distribution of (0,1) And Y2 is a continuous random variable with a uniform distribution of (0,Y1) Find the joint distribution density function of the two variables. Obviously, we … 
math
Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x2; if x 2 0; if x < 2 Find the probability that a randomly chosen … 
math
Suppose the income (in tens of thousands of pesos) of employees at University X can be approximated by a continuous distribution with density f(x) = ( 2x2; if x 2 0; if x < 2 Find the probability that a randomly chosen … 
math
distribution of adjust gross income in individual federal income tax returns shows: Income: 3074, 75199, more than 200 Probability: 0.315, 0.180, 0.031 1. What is the probability that a randomly chosen return shows an adjusted gross … 
math
You are driving a car and the speed is an exponentialy distributed random variable with mean 50 (in miles per hour). The speed limit is 60 miles per hour, and if your speed is x > 60 miles per hour, the probability you are stopped … 
statistics
Suppose that on a certain examination in advanced mathematics, students from University A achieve scores which are normally distributed with a mean of 625 and a variance of 100, and that students from University B achieve scores which … 
Statistics
The probability distribution of number of calls coming to a call center every 15 minute period is shown below. x 5 6 7 8 9 10 11 12 13 p ( x ) 0.02 0.04 0.07 0.08 0.09 0.11 0.12 0.13 0.10 Continuedâ€¦ x 14 15 16 17 18 19 20 p ( x ) … 
math
what number am I? My tenthousands digit is 4 less than my thousands digit. My thousands digit is 3 times my hundreds digit. My hundreds digit is 1/2 tens digit. My tens digit is 6. My ones digit is 3 more than my tens digit. 
Math mystery number
This number has 7 digits The digit in the ten thousands place is 9 The digit in the hundreds place is 3 times greater than the digit in the ones place The digit in the millions place is the difference between the tens place and the … 
math
My hundred digits means nothing. six more than my hundreds digit is my thousands and one less than my thousands is my ten thousands. my tens digit is four more than my hundreds and my ones digit is five more than my tens digit. what …