Respuesta :
Answer with explanation:
For , n=15 people in a random sample who visit a library’s website to browse their catalogue.
Also, probability = 0.1
of the population proportion who reserve a book while browsing.
We have to calculate
⇒⇒ Probability of selecting exactly 14 users who actually make a reservation in the random sample, can be calculated in following way
¬¬If, n=15
Probability = 0.1
We will find actual number of users out of 15 who reserves a book while browsing if probability of reserving a book while browsing is 0.1.
[tex]\frac{x}{15}=0.1\\\\x=1.5[/tex]
It means out of 3 population only 2 of them reserve a book while browsing.
So, if there are 14 users who actually make a reservation in the random sample, then total random sample will be
=14 × 1.5
=21 in all
So, Required probability
[tex]=\frac{\text{Total sample who reserves a book while browsing}}{\text{Total Random Sample}}\\\\=\frac{14}{21}\\\\=\frac{2}{3}[/tex]
