Question

The graph to the right is the uniform density function for a friend whoThe graph to the right is the uniform density function for a friend who is x minutes late. Find the probability that the friend is at least 21 minutes late. is x minutes late. Find the probability that the friend is at least 21 minutes late.

Answer 1

Answer:

0.30

Step-by-step explanation:

Data provided in the question

Uniform density function for a friend = x minutes late

The Friend is at least 21 minutes late

Based on the above information, the probability that the friend is at least 21 minutes late is

$= \frac{Total\ minutes - minimum\ minutes}{Total\ minutes}$

$= \frac{30 - 21}{30}$

= 0.30

Based on the above formula we can easily find out the probability for the friend who is at least 21 minutes late

Answer 2

The probability of the friend to be at least 21 minutes late for the uniform density function shown in the graph is 0.30.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The graph is attached below shows the uniform density function for a friend who is x minutes late.

• The probability that the friend is at least 21 minutes late-

The friend is at least 21 minutes late. This means that the friend is 21 minutes late or more than it. 21 or more minutes goes from 21 to 30. Thus, the difference is,

$d=30-21\\d=9$

The density of the graph is 1/30. The probability will be equal to the area under the curve.

In this, the length of the rectangle will be 9 and width will be 1/30 for the probability of at least 21 minutes late. The probability is,

$P=9\times\dfrac{1}{30}\\P=0.30$

Thus, the probability of the friend to be at least 21 minutes late for the uniform density function shown in the graph is 0.30.

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