According to a report, 51.6 % of murders are committed with a firearm. (a) if 200 murders are randomly selected, how many would we expect to be committed with a firearm? (b) would it be unusual to observe 122 murders by firearm in a random sample of 200 murders? why?

Question

Reid Erickson

Mathematics

4 August, 13:17

According to a report, 51.6 % of murders are committed with a firearm. (a) if 200 murders are randomly selected, how many would we expect to be committed with a firearm? (b) would it be unusual to observe 122 murders by firearm in a random sample of 200 murders? why?

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Lillianna Vincent · Answer 1

a) 103, b) No

Step-by-step explanation:

a) We need to multiply the probability by the amount of the sample to get:

200 * 51.6% = 103.2, rounded down to 103

b) As we have selected the people randomly, we have no control over the type of people we are given - this is theoretical and the estimate is not definite - all of the sample could have murdered by firearm or even none (even though it is highly unlikely).