Statistic problems an explanation would be appreciated
(5pts) Let \(X \sim N(25,3)\). Find the expected value, variance, and standard deviation of
\(X .\) Find \(P(X \leq 26.5)\)
(5pts) Let \(X \sim N(12,2)\). Find the expected value, variance, and standard deviation of \(X\). Find \(P(X>12.8)\)
(5pts) Let \(Y \sim\) binomial \((15, .65)\). Find the expected value, variance, and standard deviation of \(Y\). Find \(P(Y=10)\).
Q1)
\(E(X)=\mu=25\)
\(V(X)=\sigma^{2}=9\)
\(S D(X)=\sigma=3\)
\(P(X \leq 26.5)=P\left(Z \leq \frac{26.5-25}{3}\right)\)
\(P(Z \leq 0.5)=P(-\infty
\(P(Z \leq 0.5)=0.5+0.1915=0.6915\)
Q 2)
\(E(X)=\mu=12\)
\(V(X)=\sigma^{2}=4\)
\(S D(X)=\sigma=2\)
\(P(X>12.8)=P\left(Z>\frac{12.8-12}{2}\right)\)
\(P(Z>0.4)=P(0
\(P(Z>0.4)=0.5-0.1554=0.3446\)
Q 3)
\(E(Y)=n p=15 * 0.65=9.75\)
\(V(Y)=n p q=15^{*} 0.65^{*} 0.35=3.4125\)
\(S D(Y)=\sqrt{3.4125}=1.8473\)
\(P(Y=10)=\left(\begin{array}{c}15 \\ 10\end{array}\right)(0.65)^{10}(0.35)^{15-10}=0.2123\)
Excel Command : =BINOM.DIST(10,15,0.65,FALSE)
Statistic problems a explanation would be appricated(5pts) Let X ,v N(25,3). Find the expected value,...
Let X-N (24,36) Y-N (48,64) A) Find the expected value and the variance of x+2y B)Find the probability that 2x+y > 50
at VHU SUCCESS. e. Find the expected value, variance, and standard deviation. 10. Consider a binomial experiment with n = 10 and p = 0.10. Use the binomial tables (Appendix B) to answer parts (a) through (d). a. Find f(0). b. Find f(2). Find P(x < 2). Find Par > 1). e. Find E(x). f. Find Var(x) and o.
Let X-Binomial(n = 10, p = 0.2). Find the mean of X. 01 Question 6 (1 point) LetX~Binomial(n = 100, p = 0.2). Find the standard deviation of X.
Let x be the binomial random variable with n=10 and p = 9 a. Find P(x = 8) and create a cumulative probability table for the distribution. b. Find P( x is less than or equal to 7) and P(x is greater than 7) c. Find the mean, u, the standard deviation, o, and the variance. d. Does the Empirical rule work on this distribution for data that is within one, two or three standard deviations of the mean? Explain....
Let X N(0, 9) have mean 0 and variance 9. Find the expected value of X2(X +1).
A. Let X be a binomial random variable with n = 74 and p = .6. Use the normal approximation to the binomial to find: (i) P(X ≤ 50) (iii) P(40 ≤ X ≤ 50) (v) P(X = 43) (ii) P(X ≥ 40) (iv) P(42 ≤ X < 49) B. Each time a roulette wheel is spun, there are 38 possible outcomes, 18 red, 18 black, and two green. Suppose that you ALWAYS bet "black". (i) Suppose the roulette wheel...
Let X be a normal random variable with mean 50 and standard deviation 8. Find P(X < 65) P(X < 45) For what value of y is it true that P(X < y) =0.60?
(2) Let Y be a binomial random variable with parameters n and p. Remember that We know that Y/n is an unbiased estimator of p. Now we want to estimate the variance of Y with n借)(1-n) (a) Find the expected value of this estimator (b) Find an unbiased estimator that is a simple modification of the proposed estimator
Let X and Y be two independent and identically distributed random variables with expected value 1 and variance 2.56. First, find a non-trivial upper bound for P(|X + Y − 2| ≥ 1). Now suppose that X and Y are independent and identically distributed N(1,2.56) random variables. What is P(|X + Y − 2| ≥ 1) exactly? Why is the upper bound first obtained so different from the exact probability obtained?
(2) Let Y be a binomial random variable with parameters n and p. Remember that E(Y) V(Y)p1 -p) We know that Y/n is an unbiased estimator of p. Now we want to estimate the variance of Y with n(2(1 (a) Find the expected value of this estimator (b) Find an unbiased estimator that is a simple modification of the proposed estimator
> can u help me answer my quetion ?
1. Suppose that in a day, the probability of insurance agents not closing any deal is 0.3. On the other
hand, the probability the he can close deal is 0.25; two deal 0.35 and three deals, 0.1. Find the agents
expected number and variance of close deal in a day.
2. Find the expected number of correct answers and the variance in Quiz 2.
Czar Mohammad D. Musa Thu, Apr 15, 2021 1:48 AM