mean number of customers arriving at a restaurant during a 15-minute period is 9. Find the standard deviation of the distribution during an hour period.
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- The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes. What is the standard deviation for this uniform distribution?the average height on the soccer team is 66 inches with a standard deviation of 3. a z score of -1.6 corresponds with how many inches?The time it needs a communications worker to arrange a domestic phone call is normally distributed with mean Fifty seconds and a standard deviation of Eight seconds. Find the proportion of times that someone has to wait for more than a minute for the call to be placed.
- The distribution for the time a patient of a medical center spends waiting for an appointment is normal with mean of 35 minutes and standard deviation of 12 minutes. What wait times represents the middle 55% of all appointments?The song-length of tunes in the Big Hair playlist of a Statistics professor's mp3-player varies from song to song. This variation can be modeled by the Normal distribution, with a mean song-length of u = 4.3 minutes and a standard deviation of o 0.65 minutes. Note that a song that has a length of 4.5 minutes is a song that lasts for 4 minutes and 30 seconds. = While listening to a song, the professor decides to shuffle the playlist, which means the mp3-player is to randomly pick a song within this particular playlist, and play this next. If using/working with z-values, use three decimals. (a) What is the probability that the next song to be played is between 3.6 and 4.6 minutes long? Answer to four decimals. (b) What proportion of all the songs in this playlist are longer than 5 minutes? Use four decimals in your answer. (c) 10% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals, and keep your answer consistent with how the song length…A radio station claims that the amount of advertising each hour has a mean of 17 minutes and a standard deviation of 1.7 minutes. You listen to the radio station for 1 hour and observe that the amount of advertising time is 7 minutes. Calculate the z-score for this amount of advertising time.
- The average age of senators in the 108th Congress was 62 years. If the standard deviation was 12.5 years, find the z-scores corresponding to the oldest and youngest senators of age 86 and 46. Round z scores to two decimal places.The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?An exam score has a mean of 504 and standard deviation of 90. What exam score coresponds to a Z-score of 1.60?
- The distribution of weights for newborn babies is approximately normally distributed with a mean of 7.3 pounds and a standard deviation of 0.7 pounds. The middle 95% of newborn babies weigh between , and , pounds. What percent of newborn babies weigh less than 5.9 pounds? Approximately 50% of newborn babies weigh more than , poundsThe average birth weight of elephants is 230 pounds. Assume that the distribution of birth weights is Normal with a standard deviation of 50 pounds. Find the birth weight of elephants at the 90th percentile.Assume that the number of pieces per bag has a mean of 78 with a standard deviation of 1. use the empirical rule to find the percentage of values in the distribution between 78 and 80 and the percentage of values that are greater then 80 
