A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4. You choose a random score from the data set and the probability of getting a score less than or equal to this is 0.0078. What was the test score you randomly chose?

The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find the probability that the mean of a randomly selected sample of 25 people will be between 110 and 135 gallons.Assume the variable is normally distrubuted

As part of a study, 800 college football players are randomly chosen and their weights taken. The distribution of the weights is approximately normal. The average weight is 235 pounds and the standard deviation is 25 pounds. Approximately how many players had weights between 260 pounds and 285 pounds? Select one: a. 432 b. 108 C. none of these d. 216 400 e.

Many college admissions want to know your class percentage in addition to your grades.  The grades are normally distributed.  A certain university insists that a student place in at the 90th percentile.  if the mean is 79.45 and the standard deviation is 5.37, what is the 90th percentile? a.88.07 b.85.01 c.86.33 d.90

You are considering taking two professors for a statistics course.  Both professors have an average of 65%.  The first professor has a standard deviation of 1%.  The second professor has a standard deviation of 15%.  Which professor do you have a better chance of passing with?

The lifespans of lizards in particular zoo are normally distributed. The average lizard lives 3.1 yearsthe standard deviation is 0.6 years. Find the probability that the lizards live longer than 3.1 years or less than 2.5 yearsHint: Draw and label a normal curve and use the percentages of the standard deviations. Write your answer using only numbers and do not include units. For example 95.3% would be entered as 95.3

You have a sample of 48 randomly selected Vancouverites. On average (the sample mean), the people in your sample spent 425 hours eating food in 2020. The least time a person in the sample spent eating food in 2020 is 367 hours and the most time a person in the sample spent eating food in 2020 is 484 hours. What would be your best guess about the population standard deviation of the time a Vancouverite spent eating food in 2020? Give the number and explain (including assumptions you make about the population distribution).

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

Find the mean and standard deviation of the number of red-headed Scots in a randomly selected group of 155. The probability of having red hair is still 13% for Scottish people. a. Mean = b. Standard deviation (Round to 2 places)=

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?