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The amount of time you have to wait at a particular stoplight is uniformly distributed between zero and two minutes.1. What is the probability that you have to wait more than 30 seconds for the light?A) 0.25
B) 0.50
C) 0.75
D) 1.012. What is the probability that you have to wait between 15 and 45 seconds for the light?A) 0.15
B) 0.25
C) 0.35
D) 0.453. Eighty percent of the time, the light will change before you have to wait how long?A) 90 seconds
B) 24 seconds
C) 30 seconds
D) 96 seconds

Respuesta :

tatendagota

Answer:

1. Option C) 0.75

2. Option B) 0.25

3. Option D) 96 seconds

Step-by-step explanation:

1. The waiting time is between 0 and 2 minutes. We can say that the time can be distributed according to the following expression:

0 ≤ x ≤ 0

where x is the time between 0 and 2 minutes.

A time more than 30 seconds leaves the remaining time:

2 mins  = 120 sec

30 seconds off = 120 - 30

                         = 90

Therefore, the probability is = [tex]\frac{90}{120} \\ = \frac{3}{4}\\ = 0.75[/tex]

2. between 15 and 45 seconds

the time will be = 45 - 15

                          = 30 seconds

therefore, the probability will be [tex]\frac{30}{120}\\ = \frac{1}{4}\\ = 0.25[/tex]

3. 80 %  the light will change after the following time = 80% × 120 s

                                                                                         = 0.8 × 120

                                                                                         = 96 seconds

adioabiola

The answers regarding the probabilities and waiting times are as follows;

  • 0.75
  • 0.25
  • 96 seconds

Since, the waiting time is uniformly distributed between 0 and 2 minutes. We can say that the time can be distributed according to the following expression:

  • 0 ≤ x ≤ 120

where x is the waiting time between 0 and 120 minutes.

A time more than 30 seconds leaves the remaining time to be;

  • 30 seconds off = 120 - 30

  • = 90 seconds

Therefore, the probability is = 90/120

= 0.75

2. When the waiting time is between 15 and 45 seconds

The time interval is therefore; = 45 - 15 = 30 seconds

Probability = 30/120

= 0.25

3. 80 % of the time; the light will change after the following time = 80% × 120seconds

= 0.8 × 120

Waiting time = 96 seconds

Read more on normal distribution:

https://brainly.com/question/25845032

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