PLEASE SHOW DETAILED STEPS. THANK YOU. 1. A random variable X has a normal distribution N(5,3.5)....
PLEASE SHOW DETAILED STEPS. THANK YOU.
1. A random variable X has a normal distribution N(5,3.5). Find P(X>0)
2. A random variable Xhas an exponential distribution Exponential (2.5). Find P(X < 0.75) Show the calculator input for your answer.
3. Mary is looking for someone with change of $1. She estimates that each person she asks has a 25% probability of having the right change. What is the probability that Mary will have to ask at least four people in order to find one with the right change? Show the calculator input for your answer.
4. Given the following probability mass function:
|
X |
1 |
2 |
3 |
4 |
5 |
|
p(x) |
0.15 |
0.25 |
0.40 |
0.15 |
0.05 |
Find the expected value of X. Hint: fill in the missing value in the table first!
Homework Answers
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PLEASE SHOW DETAILED STEPS. THANK YOU.
1. A random variable X has a normal distribution N(5,3.5)....
Consider the following probability distribution of the random variable X.
Consider the following probability distribution of the random variable X. x 2 4 6 8 10 12 P(Y = x) 0.05 0.15 0.25 A 0.05 0.25 State the value of A to two digits to the right of the decimal point.
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1...
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 1) Find P(x<2) Please use up to 4 decimal places and use the proper uses of rounding. Excel can be a helpful calculator in these problems. 2) Find the expected value (mean) of this discrete random variable. Please use up to 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
Let X be a random variable with the following probability distribution:
Let X be a random variable with the following probability distribution:Value x of XP(X=x)-300.05-200.20-100.0500.15100.25200.30Find the expectation E(X) and variance Var(X) of X. (if necessary, consult a list of formulas.)
Let X be a random variable with the following probability distribution: Value x of X P=Xx...
Let X be a random variable with the following probability distribution: Value x of X P=Xx -20 0.25 -10 0.10 0 0.10 10 0.10 20 0.05 30 0.40 Find the expectation EX and variance VarX of X .
Let X be a random variable with the following probability distribution: value x of X P...
Let X be a random variable with the following probability distribution: value x of X P (X= x) 40 50 60 70 80 90 0.10 0.15 0.40 0.20 0.05 0.10 Find the expectation E (X) and variance Var(X) of X. (If necessary, consult a list of formulas.) Var(x)-
A discrete random variable X has the following probability distribution:
A discrete random variable X has the following probability distribution: x7778798081 P(x) 0.150.150.200.400.10Compute each of the following quantities. i. P(X = 80) ii. P(x > 80) iii. P(X ≤ 80) iv. The mean, μ of x. v. The variance, σ2 of X. vi. The standard deviation, σ of X.
A random variable, x has a hypergeometric distribution with
A random variable, \(x\), has a hypergeometric distribution with \(\mathrm{N}=13, X=9\), and \(n=4\).a. Calculate \(\mathrm{P}(\mathrm{x}=3)\).b. Calculate \(\mathrm{P}(\mathrm{x}=6)\).c. Calculate \(\mathrm{P}(x \geq 4)\).d. Find the largest \(x^{\prime}\) so that \(P\left(x>x^{\prime}\right)>0.25\).a. The probability is (Round to four decimal places as needed.)
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X =...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
O RANDOM VARIABLES AND DISTRIBUTIONS Expectation and variance of a random variable Let X be a...
O RANDOM VARIABLES AND DISTRIBUTIONS Expectation and variance of a random variable Let X be a random variable with the following probability distribution: Value x of X P(X-) 0.35 0.40 0.10 0.15 10 0 10 20 Find the expectation E (X) and variance Var(X) of X. (If necessary, consult a list of formulas.) Var(x) -
Let X be a random variable with the following probability distribution: value x of X P (X= x) 40 50 60 70 80 90 0.10 0.15 0.40 0.20 0.05 0.10 Find the expectation E (X) and variance Var(X) of X. (If necessary, consult a list of formulas.) Var(x)-
A random variable, \(x\), has a hypergeometric distribution with \(\mathrm{N}=13, X=9\), and \(n=4\).a. Calculate \(\mathrm{P}(\mathrm{x}=3)\).b. Calculate \(\mathrm{P}(\mathrm{x}=6)\).c. Calculate \(\mathrm{P}(x \geq 4)\).d. Find the largest \(x^{\prime}\) so that \(P\left(x>x^{\prime}\right)>0.25\).a. The probability is (Round to four decimal places as needed.)
O RANDOM VARIABLES AND DISTRIBUTIONS Expectation and variance of a random variable Let X be a random variable with the following probability distribution: Value x of X P(X-) 0.35 0.40 0.10 0.15 10 0 10 20 Find the expectation E (X) and variance Var(X) of X. (If necessary, consult a list of formulas.) Var(x) -
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