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Vera_Pavlovna [14]
3 years ago
8

The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab

ility that Samantha has to wait less than 4.5 minutes to catch the bus?
a. 10%
b. 3%
c. 20%
d. 30%
Mathematics
1 answer:
Maslowich3 years ago
5 0

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%

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