The mean of a normal probability distribution is 380; the standard deviation is 10. About 68%...

The mean of a normal probability distribution is 380; the standard deviation is 10.

About 68% of the observations lie between what two values?

About 95% of the observations lie between what two values?

Practically all of the observations lie between what two values?

Solutions

Expert Solution

According to Empirical rule (68 - 95 - 99.7)

Approximately, 68% data falls in 1 standard deviation of the mean.

Approximately, 95% data falls in 2 standard deviation of the mean.

Approximately, 99.7% data falls in 3 standard deviation of the mean.

68% data falls between

= 380 10

Between 380 - 10 and 380 + 10

Between 370 and 390

95% data falls between 2

= 380 2 * 10

Between 380 - 2 * 10 and 380 + 2 * 10

Between 360 and 400

About all data falls between 3 standard deviation of the mean.

That is between 3

= 380 3 * 10

Between 380 - 3 * 10 and 380 + 3 * 10

Between 350 and 410

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The mean of a normal probability distribution is 380; the standard deviation is 16. About 68%...

The mean of a normal probability distribution is 380; the standard deviation is 16. About 68% of the observations lie between what two values

The mean of a normal probability distribution is 460; the standard deviation is 6. a. About...

The mean of a normal probability distribution is 460; the standard deviation is 6. a. About 68% of the observations lie between what two values? Lower Value Upper Value b. About 95% of the observations lie between what two values? Lower Value Upper Value c. Nearly all of the observations lie between what two values? Lower Value Upper Value

Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability...

Giving a normal distribution with mean mu=40 and standard deviation sigma = 10 where the probability that x0<x<x1 = 0.9. What is the Total Area to the left for x1.

Giving a normal distribution with mean mu= 40 and standard deviation sigma=10 where the probability that...

Giving a normal distribution with mean mu= 40 and standard deviation sigma=10 where the probability that x0<x<x1 = 0.9. What is the value of x0

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability...

In a normal distribution with mean = 27 and standard deviation = 4 Find the probability for a.) 23 < x < 31 b.) 27<x<35 c.) 25 < x < 30 d.) x>26 e.) x < 24

The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ...

The mean of a normal probability distribution is 410; the standard deviation is 105. a. μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. μ ± 3σ of the observations lie between what two values? Lower Value Upper Value

1. Following a normal probability distribution with a mean of 200 and a standard deviation of...

1. Following a normal probability distribution with a mean of 200 and a standard deviation of 10, 95 percent of the population will be between: 200 and 220 180 and 220 180 and 200 less than 180 3. A family of four spends an average of $1000 per month with a standard deviation of $50. This spending follows a normal continuous distribution. What is the probability that a family will spend more than $1050 in a month? (answer to 3 decimal places) 5....

Consider a normal distribution with a mean of 50 and standard deviation of 10. Which of...

Consider a normal distribution with a mean of 50 and standard deviation of 10. Which of the following is FALSE? Question 4 options: P(x<=50) = .50 P(x>=40) = 1-P(x<40) P(x<=20)+P(x<=20) = P(x<=40) P(x<=30) = P(x>=70)

(1) Consider a normal distribution with mean 38 and standard deviation 3. What is the probability...

(1) Consider a normal distribution with mean 38 and standard deviation 3. What is the probability a value selected at random from this distribution is greater than 38? (Round your answer to two decimal places.) (4) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.1; σ = 4.4 P(10 ≤ x ≤ 26)= (5) Assume that x has a normal distribution...

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...

Subjects