Question

In: Statistics and Probability

The amount of time people spend exercising in a given week follows a normal distribution with...

The amount of time people spend exercising in a given week follows a normal distribution with a mean of 3.8 hours per week and a standard deviation of 0.8 hours per week.

i) Which of the following shows the shaded probability that a person picked at random exercises less than 2 hours per week?

a.    b.   


ii) What is the probability that a person picked at random exercises less than 2 hours per week? (round to 4 decimal places)    

iii) Which of the following shows the shaded probability that a person picked at random exercises between 2 and 4 hours per week?

a.     b.    


iv) What is the probability that a person picked at random exercises between 2 and 4 hours per week? (round to 4 decimal places)

Solutions

Expert Solution

Here graph is not provided even though i given 2 graphs according to X and Standard normal.

If you are still any doubt please send the graph in comment section.

Have a nice day.


Related Solutions

The amount of time each week that Dunder Mifflin employees spend in pointless meetings follows a...
The amount of time each week that Dunder Mifflin employees spend in pointless meetings follows a normal distribution with a mean of 90 minutes and standard deviation of 10 minutes. A. What is the probability that employees spend between 81.5 and 103.5 minutes in meetings in a week? B. The probability that employees spend between 80 and ???? minutes in meetings in a week is equal to 0.8351.
1.) The time college students spend on the internet follows a Normal distribution. At Johnson University,...
1.) The time college students spend on the internet follows a Normal distribution. At Johnson University, the mean time is 5.5 hours per day with a standard deviation of 1.1 hours per day. If 100 Johnson University students are randomly selected, what is the probability that the average time spent on the internet will be more than 5.8 hours per day? Round to 4 places.   If 100 Johnson University students are randomly selected, what is the probability that the average...
The amount of time that people spend at Grover Hot Springs is normally distributed with a...
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 71 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(Correct,Correct)   b. Find the probability that a randomly selected person...
The amount of time that people spend at Grover Hot Springs is normally distributed with a...
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 80 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person...
Assume that the amount of time (hours) that young apprentices spend per week on their homework...
Assume that the amount of time (hours) that young apprentices spend per week on their homework in their training program at a major manufacturer is normally distributed with a mean of 12 hours and a standard deviation of 5. 3. If 65 apprentices are selected at random, find the probability that they average more than 12 hours per week on homework. a. 0.3999 b. 0.6999 c. 0.5000 d. 0.7999 4. If 65 apprentices are selected at random, find the probability...
The time taken to complete an assignment in a class follows a normal distribution with a...
The time taken to complete an assignment in a class follows a normal distribution with a mean of105 minutes and a standard deviation of 10 minutes. A. What is the probability that a randomly selected student takes between 100and 112 minutes to complete the exam? B. What is the probability that a randomly selected student takes less than 115minutes to complete the exam? C. What is the time that corresponds to the 38th percentile? D. Between which two values does...
The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a...
The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviation of 0.3 ounce. A random sample of 16 cupcakes is selected every day and measured. What is the probability the mean weight will exceed 2.1 ounces? Select one: a. 0.9088 b. 0.3694 c. 0.0912 d. 0.6306 e. 0.075
Suppose the amount of protein in a serving of 2 eggs follows a normal distribution with...
Suppose the amount of protein in a serving of 2 eggs follows a normal distribution with mean 12 grams and standard deviation 1 gram. Let Y denote the amount of protein in a randomly selected serving of 2 eggs. Determine the following probabilities (enter each as a decimal, and round to 4 decimal places): P(Y>10) P(Y≥10) P(Y<12) P(Y=12)
A high school principal is interested in the amount of time her students spend per week...
A high school principal is interested in the amount of time her students spend per week working at an after school job. 37 students are randomly selected and their working hours are recorded. The sample had a mean of 12.3 hours and a standard deviation of 11.2 hours. We would like to construct an 80% confidence interval for the population mean hours worked weekly by high school students. What critical value will you use for an 80% confidence interval? Give...
The time it takes for a Madonna concert to sell out follows a normal distribution with...
The time it takes for a Madonna concert to sell out follows a normal distribution with an average sell out time of 80 minutes with a standard deviation of 15 minutes. Fill in the values for the normal curve for the time to sell out. From left to right, the values would be:         2 points b.)    Quantify, what percent of shows would they expect to sell out in 50 minutes or less? Write your answer as a percentage without the % symbol....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT