Question

In: Statistics and Probability

According to a report by Scarborough Research, the average monthly household cellular phone bill is $73....

According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household bills are normally distributed with a standard deviation of $11.35.

(a) What is the probability that a randomly selected monthly cellphone bill is between $60 and $74?

(b) What is the probability that a randomly selected monthly cellphone bill is between $79 and $88?

(c) What is the probability that a randomly selected monthly cellphone bill is no more than $39?

Solutions

Expert Solution

Let X be a randomly selected monthly cellphone bill. We know that X is normally distributed with mean and standard deviation

(a) What is the probability that a randomly selected monthly cellphone bill is between $60 and $74?

ans: the probability that a randomly selected monthly cellphone bill is between $60 and $74 is 0.4108

(b) What is the probability that a randomly selected monthly cellphone bill is between $79 and $88?

ans: the probability that a randomly selected monthly cellphone bill is between $79 and $88 is 0.2046

(c) What is the probability that a randomly selected monthly cellphone bill is no more than $39?

ans: the probability that a randomly selected monthly cellphone bill is no more than $39 is 0.0013


Related Solutions

the average single smart phone cell phone bill is now averaging $73 with a standard deviation...
the average single smart phone cell phone bill is now averaging $73 with a standard deviation of $20. a. what is the probability that a random person will have a bill more than $70? b. what is the probability that a sample mean of 40 produces a sample mean less than $73? c. what is the probability that a sample mean of 40 produces a sample mean more than $75?
According to a government energy agency, the mean monthly household electricity bill in the United States...
According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $ 110.66 . Assume the amounts are normally distributed with standard deviation $ 20.00 . (a) Find the 7 th percentile of the bill amounts. (b) Find the 65 th percentile of the bill amounts. (c) Find the median of the bill amounts.
According to a government energy agency, the mean monthly household electricity bill in the United States...
According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $109.54. Assume the amounts are normally distributed with standard deviation $25.00. Use the TI-84 Plus calculator to answer the following. (a) What proportion of bills are greater than $132? (b) What proportion of bills are between $90 and $145? (c) What is the probability that a randomly selected household had a monthly bill less than $129? Round the answers to at...
According to a government energy agency, the mean monthly household electricity bill in the United States...
According to a government energy agency, the mean monthly household electricity bill in the United States in 2011 was $108.99 . Assume the amounts are normally distributed with standard deviation $19.00 . (a) What proportion of bills are greater than $133 ? (b) What proportion of bills are between $82 and $140 ? (c) What is the probability that a randomly selected household had a monthly bill less than $119 ? Round the answers to at least four decimal places.
According to CTIA-The Wireless Association, the mean monthly cell phone bill in 2018 was $60.64. A...
According to CTIA-The Wireless Association, the mean monthly cell phone bill in 2018 was $60.64. A market researcher believes that the mean monthly cell phone bill has increased today. a) What would be the null and alternative hypothesis for testing whether the mean monthly cell phone bill today has increased since 2018? b) Calculate the P-Value if the researcher phones a random sample of 40 cell phone subscribers and gets a sample average of $67.45 with a sample standard deviation...
According to a​ report, the mean of monthly cell phone bills was $49.33three years ago. A...
According to a​ report, the mean of monthly cell phone bills was $49.33three years ago. A researcher suspects that the mean of monthly cell phone bills is different from today. ​(a) Determine the null and alternative hypotheses. ​(b) Explain what it would mean to make a Type I error. ​(c) Explain what it would mean to make a Type II error. ​(a) State the hypotheses. H0​: p, μ, σ___?____, >,≠,=,<____?____, $_______ H1​: p, μ, σ___?____, >,≠,=,<____?____, $_______ ​(Type integers or...
According to a​ report, the mean of monthly cell phone bills was ​$49.32 three years ago....
According to a​ report, the mean of monthly cell phone bills was ​$49.32 three years ago. A researcher suspects that the mean of monthly cell phone bills is different from today. ​(a) Determine the null and alternative hypotheses. ​(b) Explain what it would mean to make a Type I error. ​(c) Explain what it would mean to make a Type II error.
The phone company calculates a customer’s monthly cell phone bill as follows: monthly service charge: $35...
The phone company calculates a customer’s monthly cell phone bill as follows: monthly service charge: $35 voice charges: First 100 minutes: $0.018 per minute Second 100 minutes: $0.034 per minute Additional minutes: $0.055 per minute a. What is the charge for a month in which 158 minutes were used? b. What is the charge for a month in which 311 minutes were used? c. Construct a piecewise function that gives the monthly charge for x minutes of usage.
Suppose, according to a 1990 demographic report from the Brookings Institution, the average U. S. household...
Suppose, according to a 1990 demographic report from the Brookings Institution, the average U. S. household spends $90 per day. Suppose you recently took a random sample of 30 households in Chicago and the results revealed a mean of $84.50. Suppose the standard deviation of daily expenditure is known to be $14.50. Using a 0.05 level of significance, can it be concluded that the average amount spent per day by U.S. households is different than the Brookings report? Use α...
Write a Python class definition called CellPhone to represent a monthly cell phone bill. The bill...
Write a Python class definition called CellPhone to represent a monthly cell phone bill. The bill should contain the following information: customer name (default value is the empty string) account number (default value is 0) number of gigabytes (GB) used over the monthly limit (default value is 0) Include the following methods: a constructor which given a customer name, account number, and number of GB used in excess of the monthly limit, creates a CellPhone object (be sure to account...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT