A police radar gun is used to measure the speeds on a highway. The speeds are normally distributed with a mean of 62 mi/hr and a standard deviation of 12 mi/hr. (a) Draw the appropriate shaded region of the normal distribution. Find the probability that a randomly selected car is driving at a speed between 60 mi/hr and 70 mi/hr?  b) Find the speed at the 95th percentile.

Assume that adults have IQ scores that are normally distributed with a mean of u= 105 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 91 and 119. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ between 91 and 119 is (Type an integer or decimal rounded to four decimal places as needed.)

The length of songs 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 �=4.3 minutes and a standard deviation of �=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.)The professor decides to shuffle the playlist, which means that the mp3 player will randomly pick a song within this particular playlist and play it next.(a) What is the probability that the next song to be played is between 3.9 and 4.85 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) 20% of all the songs in this playlist are at most how long, in minutes? Enter your answer to two decimals. minutes(d) There are 247 songs in the Big Hair playlist. How many of these would you expect to be longer than 5 minutes in length? Use two…

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P9, the 9-percentile. This is the temperature reading separating the bottom 9% from the top 91%.

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.8 Mbps. The complete list of 50 data speeds has a mean of x= 16.56 Mbps. And a standard deviation of s= 35.08 Mbps. Convert the carriers highest data speed to a z score

Assume the selling prices of homes in a particular community follow a normal distribution with a mean of $263,100 and a standard deviation of $43,200. Complete parts a through c. a. Determine the range of selling prices in this community that includes one standard deviation around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) b. Determine the range of selling prices in this community that includes two standard deviations around the mean. The range is from $ to $ (Type integers or decimals. Use ascending order.) c. Determine the range of selling prices in this community that includes three standard deviations around the mean. The range is from $ to $1. (Type integers or decimals. Use ascending order.)

The length of a movie file that is available for streaming is modeled using the normal distribution shown below.

Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation g= 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 80 inches,, and a standard deviation of 10 inches. What is the probability that the men annual snowfall during 25 randomly picked years will exceed 82.8 inches? Draw a picture. Show z calculation. Use Table A-2.

An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure " distance" by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Use a calculator or software to find the following values. (a) Find the mean and standard deviation of . MEAN: STANDARD DEVIATION: (b) Find the mean and standard deviation of y. MEAN: STANDARD DEVIATION: (c) Find the correlation between and y r Distance Days y E 445 347 418 304148 48