The random variable X has the following probability mass function. X -1 0 2 6 7
P(x) 0.3 0.1 0.3 0.2 0.1

Required:
a. Find the probability P( -1 < X ≤ 2) =
b. Find the cumulative distribution function F(x) and calculate F(3.2) =
c. E(X) =
d. Var(X) =
e. Suppose the number of errors in a piece of software has a Poisson distribution with parameter λ=3. The probability that there are 5 errors in a piece of software is .

Identify this conic section. x2 - y2 = 16 o line circle ellipse parabola hyperbola

What is mean median mode and range?

Stu and ambrose are working together on a study of whether diet is related to students' mental health. first, they randomly select 10 students from the student center and 10 students from the office of counseling and psychological services. then, they ask students to rate their diet in terms of healthiness on a scale of 1-100 before completing a 20-item mental health survey. a) name one of the constructs being studied b) how was the construct you named above operationally defined in this experiment? e) was the variable you described above their independent variable, their dependent variable, or a controlled variable? d) what is a confounding variable? what is a potential confound in this study?