Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

A police officer is using a radar device to check motorists.

Sagot :

Answer: A Binomial distribution apply when we have n identical and independent events with two possible results, success or fail, and a probability p of success and 1-p of fail. Then, the probability that from the n events, x are success is:

Then, the number of motorist driving more than 5 miles per hour over the speed limit follow a Binomial Distributions, because we have 4 randomly selected motorists with two possible options: they are driving more than 5 miles per hour over the speed limit or they aren't, and the probability that they are driving more that 5 miles per hour over the speed is 0.4.

Finally, the probability P that among 4 randomly selected motorists, the officer will find at least 1 motorist driving more than 5 miles per hour over the speed limit is:

P = P(1) + P(2) + P(3) + P(4)

Where n is equal to 4 and p is equal to 0.4. Replacing the values for every x, we get:

Finally, P is equal to:

P = 0.3456 + 0.3456 + 0.1536 + 0.0256

P = 0.8704

Explanation:

Answer:

yes

Explanation: