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"The Fountains of Bellagio" is a choreographed water display set to light and music that takes place in front of the Bellagio Hotel in Las Vegas. In the evening, the shows take place every 15 min from 7 P.M. to midnight. The duration of each show is 7 min. If Joan arrives at a random time between 8 P.M. and 8:30 P.M. for an evening show, find the probability that Joan will have to wait the following.

a) less than 4 minutes
b) more than 11 minutes

Respuesta :

abdullahfarooqi

Answer:

a) 4/15

b) 4/15

Step-by-step explanation:

maximum wait is 1 min,2 min,3 min,4 min,5 min,6 min,7 min,8 min,9 min,10 min,11 min,12 min,13 min,14 min,15 min =total 15 values

a) less than 4 min means he has to wait for 1 min, 2 min, 3 min, 4 min=total 4 values

Probability of wait for less than 4 minutes=4/15

b) more than 11 minutes wait means he has to wait for either 12 min, 13 min, 14 min, 15 min=4 values

Probability of wait for more than 11 minutes=4/15

a. The probability that less than 4 minutes should be [tex]4\div 15[/tex]

b. The probability that more than 11 minutes should be [tex]4\div 15[/tex]

Calculation of the probability:

Since

the maximum wait is 1 min,2 min,3 min,4 min,5 min,6 min,7 min,8 min,9 min,10 min,11 min,12 min,13 min,14 min,15 min

So, the total should be 15 values

a. Now the probability should be [tex]4\div 15[/tex]

b. For more than 11 minutes he  has to wait for either 12 min, 13 min, 14 min, 15 min i.e. 4 values

So,  the probability should be [tex]4\div 15[/tex]

Learn more about probability here: https://brainly.com/question/24308401

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