Question

On average expedia gets 5000 queries a day with a standard deviation of 500. Assuming a month contains 30 days, on what proportion of days a month will there be more than 5250 queries

Answer 1

Answer:

1/3  

Step-by-step explanation:

On average expedia gets 5000 queries a day with a standard deviation of 500. Assuming a month contains 30 days, on what proportion of days a month will there be more than 5250 queries

z  = (x  - Mean )/Standard deviation

x = 5250

mean = 5000

Sytandard deviation = 500

z = (5250 -5000)/500

=> z = 250/500

=> z = 0.5

z = 0.5 means 69.15 %

More than 5250 queries = 100 - 69.15% =  30.85%

30.85 % of 30 =  (30.85/100) * 30  =  9.25 days

= 10 Days

10/30  = 1/3