Question

What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.

Answer 1

Answer:

0.2196

Step-by-step explanation:

Given that

Mean = 4.56 million visitors per day

Standard deviation = 820,000 visitors per day

According to the given situation the calculation of probability is shown below:-

Here we will find the value of P (3 ≤ X ≤ 4)  

$P 93\leq X\leq 4)=P(X\leq 4) - P(X\leq 3)$

$\\=P(\frac{X-\mu}{\sigma}\leq \frac{4-4.56}{0.82})-P(\frac{X-\mu}{\sigma}\leq \frac{3-4.56}{0.82})$

$\\=P(Z\leq -0.683)-P(Z\leq -1.9024$

= 0.2483 - 0.0287

= 0.2196

Therefore the probability that the web site has between 3 million and 4 million visitors in a single day is 0.2196