Question

Aman sometimes receives undeliverable messages on her email. Of the last 100 emails that she sent, 6 of them came back as undeliverable. She sends an average of 750 emails in a month. How many undeliverable messages should Aman expect to receive in one month? (Hint: 6 out of 100 = 0.06)

Options:
A) 0.75 undeliverable messages
B) 4.5 undeliverable messages
C) 45 undeliverable messages
D) 750 undeliverable messages

Answer 1

Aman should expect to receive 45 undeliverable messages in one month by multiplying her monthly email average (750) by the undeliverable rate (0.06) derived from her past experience of 6 undeliverables per 100 sent emails.

Step-by-step explanation:

To calculate the number of undeliverable messages Aman should expect to receive in one month, we need to use the proportion given, which is 6 undeliverables out of 100 emails sent. Since this is equivalent to a proportion of 6/100 or 0.06, we can apply this rate to predict the undeliverable emails for a larger number of sent emails.

If Aman sends an average of 750 emails in a month, we can multiply this number by the proportion of undeliverable emails to find the expected number of undeliverables:

750 emails * 0.06 = 45 undeliverable emails.

Therefore, Aman should expect to receive 45 undeliverable messages in one month.