Guests at a Beaumont hotel stay for an average of 9 days with a standard deviation of 2.4 days. Assume that the length of stay i

Question

2 years ago

10

s normally distributed. Assume that we select randomly 1000 guests. How many of those guests can be expected to stay between 7 and 14 days

1 answer:

Assoli18 [71] · Answer 1 · 2022-07-27T23:26:38+03:00

Answer:

778

Step-by-step explanation:

We have the length of stay as X

X~N (9,(2.4))

The sample is given as n = 1000

P(7<x<14) is what we are trying to get

P(7-9/2.4 < x-9/2.4 < 14-9/2.4)

= P(-0.83<z<2.08)

P(z<2.08)-p(z<-0.83)

When we go to the z table,

0.981-0.0203

= 0.778

0.778x1000

= 778

So in conclusion, 778 of these guests can be expected to stay between 7 and 14 days.