Find the probability that a randomly selected adult has an IQ greater than 136.4

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…

Assume that adults have IQ scores that are normally distributed with a mean of 103.1 and a standard deviation 19.6. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%.

Assume that adults have iq scores that are normally distributed with a mean of 97.9 and a standard deviation 16. Find the first quartile Q1, what is the iq score separating the bottom 25% from the top 75%.

A rental car company claims the mean time to rent a car on their website is 60 seconds with a standard deviation of 22 seconds. A random sample 36 customers attempted to rent a car on the website. The mean time to rent was 55 seconds. Is this enough evidence to say that the mean time is less than the company's claim? Consider a=0.05.

The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points. Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score, and what does it mean?​ ​

Assume that adults have IQ scores that are normally distributed with a mean of 104.8 and a standard deviation 21.9. Find the first quartile Q1​, which is the IQ score separating the bottom​ 25% from the top​75%

Assume that adults have IQ scores that are normally distributed with a mean of 103.8 and a standard deviation 15.7. Find the first quartile Q1​, which is the IQ score separating the bottom​ 25% from the top​ 75%. The first quartile is

A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation was determined to be 80 and 12 respectively. What is the standard error of the mean?

Assume that the heights of women are normally distributed with a mean of 62.9 inches and a standard deviation of 2.4 inches. Find Q3, the third quartile that separates the bottom 75% from the top 25%.