Question

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%

Answer 1

Answer:

option d. 30%

Step-by-step explanation:

Data provided in the question:

$a=0$

$b=15$

Now,

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

$f(x)=\frac{1}{15-0}$

$f(x)=\frac{1}{15}, 0$

Therefore,

The required probability will be

$P(X$

$P(X$

$P(X$

$P(X$

$P(X$

or

= 0.3 × 100%

= 30%

Hence,

The answer is option d. 30%