The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probability that Samantha has to wait less than 4.5 minutes to catch the bus?

a. 10%
b. 3%
c. 20%
d. 30%

option d. 30%

Step-by-step explanation:

Data provided in the question:

Now,

The probability density function of the uniform distribution is given as:

Therefore,

The required probability will be

or

= 0.3 × 100%

= 30%

Hence,

The answer is option d. 30%

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: