Question

5.1.60 Consider a uniform distribution from a 2 to b-26 (a) Find the probability that x lies between 4 and 15. (b) Find the probability that x lies between 6 and 11 (c) Find the probability that x lies between 10 and 25. (d) Find the probability that x lies between 8 and 21. Click the icom to see the definition of the uniform distributiorn. (a) The probability that x lies between 4 and 15 is (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All parts

Answer 1

We know that the distribution is uniform;

a= 2, b= 26

a.

P(4<x<15)

= (15-4) / (26-2)

= 11 / 24

= 0.4583333

= 0.458

b.

P(6<x<11)

= (11-6) / (26-2)

= 5 / 24

=0.2083333

=0.208

c.

P(10<x<25)

= (25-10) / (26-2)

= 15 / 24

= 0.625

d.

P(8<x<21)

= (21-8) / (26-2)

= 13 / 24

= 0.5416667

= 0.542