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If n 5 and x 0.45, what is the probability of the following? (a) (b) (c)...
Please answer a,b,c,d
Consider a hypergeometric probability distribution with n=3, R=5, and N = 10. a) Calculate P(x = 0). b) Calculate P(x > 1). c) Calculate P(x<3). d) Calculate the mean and standard deviation of this distribution. a) P(x = 0) = (Round to four decimal places as needed.)
1 pt) A P(X1126) Probability B. P(X < 966) Probability c. P(X > 1046) Probability
Consider a binomial probability distribution with p 0.55 and n 7. Determine the probabilities below. a) P(x 2) b) P(xs1) c) Px>5) a) P(x = 2 (Round to four decimal places as needed.) b) Ps1)- (Round to four decimal places as needed.) c) P(X> 5)= □ (Round to four decimal places as needed.) Enter your answer in each of the answer boxes.
Random variables X and Y have the following joint probability density function, fx,y(x, y) = {c)[4] < 15.36, 1y| < 15.367 1.36} 0, 0.w. where cis a constant. Calculate P(Y – X| < 8.41).
Let X N(1,3) and Y~ N(2,4), where X and Y are independent 1. P(X <4)-? P(Y < 1) =? 4、 5, P(Y < 6) =? 7, P(X + Y < 4) =?
7. For the probability density function f(x) = for 0 <<<2 (a) Find P(x < 1) (b) Find the expected value. (c) Find the variance.
For #4-5, use the following information: Overhead reach
distances X are used in planning assembly workstations. The
overhead reach distance of adult females is assumed to be X ~ N
(202.5 cm, 8.0 cm) where cm refers to centimeters.
4. If 1 adult female is randomly selected, find the probability
that her overhead reach is between 194.5 cm and 210.5 cm. Use the
graph to sketch the probability as the area under the pdf
given.
5. If 64 adult females...
IS Find the following probability for the standard normal random variable z. a. P(z<-1.02) b. P(z <2.03) c. P(0.68 szs2.03) d. P(-2.66szs1.56) a. P(z -1.02)(Round to four decimal places as needed.) b. Pize 2.03)=[] (Round to four decimal places as needed.) ook c. P(0.68 szs2.03) (Round to four decimal places as needed.) d.P(-2.66 s zs 1.56) = [□ (Round to four decimal places as needed.)
4. Let Z ~ N(0,1) be a standard normal variable. Calculate the probability (a) P(1 <Z < 2). (b) P(-0.25 < < < 0.8). (c) P(Z = 0). (d) P(Z > -1).
5. Given the probability density f(x)= for -0<x<00, find k. 1+ 2 Jor -