A study indicates that 18- to 24- year olds spend a mean of 120 minutes watching video on their smartphones per month. Assume that the amount of time watching video on a smartphone per month is normally distributed and that the deviation is 20 minutes. Complete parts (a) through (d) below. a. What is the probability that an 18- to 24-year-old spends less than 95 minutes watching video on his or her smartphone per month? The probability that an 18- to 24-year-old spends less than 95 minutes watching video on his or her smartphone per month is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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**Title: Analysis of Smartphone Video Viewing Habits Among Young Adults**

**Study Overview:**
A recent study explored the habits of 18- to 24-year-olds in terms of watching videos on their smartphones. The research found that, on average, these individuals spend about 120 minutes per month on this activity. The study assumes that the time spent watching videos follows a normal distribution with a standard deviation of 20 minutes.

**Statistical Analysis:**

**Problem Statement:**
a. Determine the probability that an individual in the 18- to 24-year-old age group watches less than 95 minutes of video on their smartphone per month.

**Calculation:**
To find this probability, the following needs to be computed:

- The probability that an 18- to 24-year-old spends less than 95 minutes watching video on their smartphone per month is ____. (Instructions: Round this value to four decimal places.)

This calculation requires understanding the properties of the normal distribution and utilizing z-scores to find the appropriate probability.

**Note:**
This analysis aids in understanding consumer behavior and can be instrumental for marketers and app developers targeting this demographic.

**Graph/Diagram:**
There are no graphs or diagrams included in this text.
Transcribed Image Text:**Title: Analysis of Smartphone Video Viewing Habits Among Young Adults** **Study Overview:** A recent study explored the habits of 18- to 24-year-olds in terms of watching videos on their smartphones. The research found that, on average, these individuals spend about 120 minutes per month on this activity. The study assumes that the time spent watching videos follows a normal distribution with a standard deviation of 20 minutes. **Statistical Analysis:** **Problem Statement:** a. Determine the probability that an individual in the 18- to 24-year-old age group watches less than 95 minutes of video on their smartphone per month. **Calculation:** To find this probability, the following needs to be computed: - The probability that an 18- to 24-year-old spends less than 95 minutes watching video on their smartphone per month is ____. (Instructions: Round this value to four decimal places.) This calculation requires understanding the properties of the normal distribution and utilizing z-scores to find the appropriate probability. **Note:** This analysis aids in understanding consumer behavior and can be instrumental for marketers and app developers targeting this demographic. **Graph/Diagram:** There are no graphs or diagrams included in this text.
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