Question

In: Statistics and Probability

The air times of a college basketball games are approximately normal, with a mean of 125...

The air times of a college basketball games are approximately normal, with a mean of 125 minutes and standard deviation of 24 minutes. Use the normal distribution to answer the following questions.

(a) Find the probability that a randomly selected college basketball game lasts less than 100 minutes.

(b) Find the probability that a randomly selected college basketball game lasts longer than 140 minutes.

(c) Find the probability that a randomly selected college basketball game lasts between 110 and 130 minutes.

(d) Would it be unusual for a college basketball game to last longer than 200 minutes? Why?

(e) Determine the 90th percentile for the air time of a college basketball game.

(f) Calculate the middle 95% of air time for a college basketball game.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The reading speed of sixth-grade students is approximately normal with a mean speed of 125 words...
The reading speed of sixth-grade students is approximately normal with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. (Note: Labelled diagrams and proper notation are required for all parts.) e) What is the reading speed for a sixth-grader who can read faster than 90% of all sixth-graders? f) A school psychologist wants to determine unusually fast reading rates and unusually slow reading rates. Determine the reading rates of the middle 95%...
The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words...
The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. A random sample of 12 sixth-graders is obtained. (a) Describe the sampling distribution of the sample mean reading rate of the 12 sixth-graders. In other words, state its distribution and its two parameters. (b) What is the probability that a random sample of 12 sixth-graders results in a mean reading rate of more...
The reading speed of sixth-grade students is approximately normal with a mean speed of 125 words...
The reading speed of sixth-grade students is approximately normal with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. (Note: Labelled diagrams and proper notation are required for part a), b), c).) a) What is the probability that a randomly selected student will read more than 130 words per minute? Interpret this probability. b) What is the probability that the mean reading rate for a random sample of 12 sixth-grade students is...
Consider the approximately normal population of heights of female college students with a mean μ =...
Consider the approximately normal population of heights of female college students with a mean μ = 69.5 inches and a standard deviation σ = 3 inches. A random sample of 36 females is obtained. a. What is the probability that an individual height of a female college student, x, is at least 70 inches? Mark and label the mean μ along with the x value then shade the area defining the probability of interest on the graph A. Mark and...
Consider the approximately normal population of heights of male college students with mean μ = 68...
Consider the approximately normal population of heights of male college students with mean μ = 68 inches and standard deviation of σ = 4.6 inches. A random sample of 13 heights is obtained. (b) Find the proportion of male college students whose height is greater than 71 inches. (Round your answer to four decimal places.) e) Find P(x > 71). (Round your answer to four decimal places.) (f) Find P(x < 70). (Round your answer to four decimal places.)
Consider the approximately normal population of heights of male college students with mean μ = 72...
Consider the approximately normal population of heights of male college students with mean μ = 72 inches and standard deviation of σ = 8.2 inches. A random sample of 12 heights is obtained. (a) Describe the distribution of x, height of male college students. skewed right, approximately normal, skewed left (b) Find the proportion of male college students whose height is greater than 74 inches. (Give your answer correct to four decimal places.) (c) Describe the distribution of x, the...
Consider the approximately normal population of heights of male college students with mean μ = 64...
Consider the approximately normal population of heights of male college students with mean μ = 64 inches and standard deviation of σ = 4.6 inches. A random sample of 10 heights is obtained. (a) Describe the distribution of x, height of male college students. skewed leftapproximately normal    skewed rightchi-square (b) Find the proportion of male college students whose height is greater than 74 inches. (Round your answer to four decimal places.) (c) Describe the distribution of x, the mean of samples...
College entrance examination scores (X) have an approximately normal distribution with mean 500 and standard deviation...
College entrance examination scores (X) have an approximately normal distribution with mean 500 and standard deviation 100. (b) If 4 scores are selected at random, what is the distribution of their average? Include the name of the distribution and the values of any parameters. Show work if possible. (c) If 4 scores are selected at random, what is the probability that their average is 510 or greater? (d) If 25 scores are selected at random, what is the probability that...
A random sample of 21 college? men's basketball games during the last season had an average...
A random sample of 21 college? men's basketball games during the last season had an average attendance of 5,114 with a sample standard deviation of 1,795. Complete parts a and b below. a. Construct a 90?% confidence interval to estimate the average attendance of a college? men's basketball game during the last season.The 90?% confidence interval to estimate the average attendance of a college? men's basketball game during the last season is from a lower limit of __ to an...
A random sample of 18 college? men's basketball games during the last season had an average...
A random sample of 18 college? men's basketball games during the last season had an average attendance of 5,038 with a sample standard deviation of 1,766. Complete parts a and b below. a. Construct a 99?% confidence interval to estimate the average attendance of a college? men's basketball game during the last season. The 99?% confidence interval to estimate the average attendance of a college? men's basketball game during the last season is from a lower limit of __ to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT