Question

Suppose A Random Variable x C s A Binomial Random Va: X OGeofietra Classic ebworkz/M1231-09 SP19/Chapter 5/1/neffectiveiser-jbanks1 7&user-jbanks17&key RJwUCyAYSKnveguoiltheveTMWZA Chapter 5: Problem 1 Previous Problem Next Problem (1 point) Suppose a random variable z is best described by a uniform probability distribution with range 2 to 5 Find the value of a that makes the folowing probability statements true (a) P(zSa) = 0.72 316 (b) PE <a)-0.12 (e) P(z> a) = 0.11 . (d) P(z > a) 0.22 (e) P152 sa) 0.18 Note: You can earn partial credit on this problem Preview My Answers Submit Answers 8 3 0

Answer 1

X ~ U(2,5)

a) P(X < a) = 0.72

or, (a - 2) / (5 - 2) = 0.72

or, a = 4.16

b) P(X < a) = 0.12

or, (a - 2) / (5 - 2) = 0.12

or, a = 2.36

c) P(X > a) = 0.11

or, (5 - a) / (5 - 2) = 0.11

or, a = 4.67

d) P(X > a) = 0.22

or, (5 - a) / (5 - 2) = 0.22

or, a = 4.34

e) P(1.52 < X < a) = 0.18

or, (a - 1.52) / (5 - 2) = 0.18

or, a = 2.06