A company makes two versions of a particular software product, a standard version and a deluxe version. Out of 25,000 units shipped, 5,000 were the deluxe version. As a part of a promotion, 1 product in every 500 contained a gift certificate. If a product is chosen at random, which is the probability it will be a standard version with a gift certificate?

Answers

Answer 1

First, we need to find the probability, P, that the software is the standard version.

Out of 25,000 units, 5,000 were deluxe. That means the remaining 20,000 were standard. So, 20,000 out of 25,000, or [tex] \frac{20000}{25000} [/tex] were standard. That means the probability of selecting a standard one at random is P = 0.8.

Next, we need to find the independent probability that any software box will contain the promotion. We know that 1 in 500 will, or [tex] \frac{1}{500} [/tex]. That means P = 0.002.

To find the compound probability of these two events, we multiply the probabilities together to get [tex]P=(0.8)(0.002)=0.0016[/tex].

Related Questions

Please select the word from the list that best fits the definition. broadcasting

Answers

A. Radio waves - Suitable for broadcasting audio content over long distances, making it the best option from the list.

Here's the complete answer:

Broadcasting typically refers to the dissemination of audio or video content to a wide audience. The most suitable option from the list provided is:

A. Radio waves - Radio broadcasting utilizes radio waves to transmit audio signals over long distances, making it the most appropriate choice from the given options. Radio waves have the ability to travel long distances and penetrate through obstacles, making them ideal for broadcasting purposes.

They are commonly used for AM and FM radio broadcasts, allowing content to reach listeners across vast geographic areas. In contrast, options B, C, E, and F refer to electromagnetic radiation with wavelengths and properties unsuitable for broadcasting audio or video content.

Microwave (option D) is used for point-to-point communication rather than wide-scale broadcasting. Therefore, option A, radio waves, best fits the definition of broadcasting.

The complete question is here:

Please select the word from the list that best fits the definition.

broadcasting

A. radio waves

B. infrared rays

C. ultraviolet rays

D. microwave

E. x-rays

F. gamma rays

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