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leo4687
27.02.2020 •
Mathematics
In the United States the ages 13 to 55+ of smartphone users approximately follow a normal distribution with approximate mean and standard deviation of 36.9 years and 13.9 years, respectively. What is the probability that a random smartphone user in the age range 13 to 55+ is between 23 and 64.7 years old?
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Ответ:
The probability that a random user is between 23 an 64.7 years old is 0.8186
Step-by-step explanation:
1. Relevant data
2. Calculate probabilty.
We want to find the probabilty that a random user is between 23 and 64.7 years old. We can note that condition with the expression:
Replacing![x_{1}, x_{2} :](/tpl/images/0526/5425/7fa96.png)
3. Transform x in z-value.
Considering the ages follow a normal distribution, we need to transformx in z-value. We can calculate z with the equation:
Then, probability is given by the equation:
4. Estimate the probabilities in normal distribution table:
The probability that a random user is between 23 an 64.7 years old is 0.8186
Ответ:
379.94
Step-by-step explanation:
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