The variable, Age_Months, follows normal distribution, with a mean of 56 and a standard deviation of...

The variable, Age_Months, follows normal distribution, with a mean of 56 and a standard deviation of 20. Answer the following questions.

1) What is the probability that a randomly selected used car is older than 7 years?

2) What are the minimum and maximum ages (in months) of the middle 95% of the used cars?

3) Compute the percentage of used cars ranging from 3 years to 7 years.

Expert Solution

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You

orchestra answered 2 years ago

Given that, a random variable Y follows normal distribution with mean of 100 and standard deviation...

Given that, a random variable Y follows normal distribution with mean of 100 and standard deviation of 20. Find P(Y < 140) ?

The random variable X follows a normal distribution with a mean of 10 and a standard...

The random variable X follows a normal distribution with a mean of 10 and a standard deviation of 3. 1. What is P(7≤X≤13)? Include 4 decimal places in your answer. 2. What is the value of k such that P(X>k)=0.43? Include 2 decimal places in your answer.

assume a normal distribution with a mean of 65 and standard deviation of 14 find P(56<X...

assume a normal distribution with a mean of 65 and standard deviation of 14 find P(56<X less than or equal to 68)

Given a random variable X following normal distribution with mean of -3 and standard deviation of...

Given a random variable X following normal distribution with mean of -3 and standard deviation of 4. Then random variable Y=0.4X+5 is also normal. (1)Find the distribution of Y, i.e. μy,σy (2)Find the probabilities P(−4<X<0),P(−1<Y<0) (3)Find the probabilities P(−4<X¯<0),P(3<Y¯<4) (4)Find the 53th percentile of the distribution of X

Given a random variable XX following normal distribution with mean of -3 and standard deviation of...

Given a random variable XX following normal distribution with mean of -3 and standard deviation of 4. Then random variable Y=0.4X+5Y=0.4X+5 is also normal. (1)(2pts) Find the distribution of YY, i.e. μY,σY.μY,σY. (2)(3pts) Find the probabilities P(−4<X<0),P(−1<Y<0).P(−4<X<0),P(−1<Y<0). (3)(3pts) Find the probabilities P(−4<X¯<0),P(3<Y¯<4).P(−4<X¯<0),P(3<Y¯<4). (4)(4pts) Find the 53th percentile of the distribution of X.

Suppose the mean and the standard deviation of a distribution are as follows: population mean and...

Suppose the mean and the standard deviation of a distribution are as follows: population mean and standards deviation are 60 and 5, respectively. At least what proportion of the observations lie between 45 and 75?

What is the standard deviation of the standard normal distribution? What is the mean of the...

What is the standard deviation of the standard normal distribution? What is the mean of the standard normal distribution? All symmetric distributions are normal distributions. True or false? Assume body temperature scores are normally distributed in the population with a mean of 36.81°C and a standard deviation of 0.41°C. A person's body temperature is 37.33°C. Calculate their z-score. (Round answer to 2 decimal places) Calculate the z-score for a person who has a body temperature of 35.72°C. (Round answer to...

A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when...

A quality characteristic X follows a Normal distribution with mean 100 and standard deviation 2 when the production process is in control. Part (a): Suppose that the lower and upper specification limits are 94 and 106, respectively. What is the percentage of produced product items that are non-conforming, i.e., do not conform to the specification limits, when the process is indeed in control? Part (b): The management has decided to monitor the process with and R control charts with a sample...

A distribution of values is normal with a mean of 190 and a standard deviation of...

A distribution of values is normal with a mean of 190 and a standard deviation of 15. From this distribution, you are drawing samples of size 35. Find the interval containing the middle-most 82% of sample means: Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A distribution of values is normal with a mean of 114.8 and a standard deviation of...

A distribution of values is normal with a mean of 114.8 and a standard deviation of 98.5. Find the probability that a randomly selected value is between 16.3 and 26.2

Question