Question

In: Statistics and Probability

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

Solutions

Expert Solution


Related Solutions

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           
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....
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?
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
4. Given an approximately normal distribution with a mean of 175 and a standard deviation of...
4. Given an approximately normal distribution with a mean of 175 and a standard deviation of 37, a) Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on the mean. b) What percent of values are within the interval (138, 212)? c) What percent of values are within the interval (101, 249)? d) What percent of values are within the interval (64, 286)? e) What percent of values outside the interval (138, 212)? f)...
A normal distribution has a mean of 15 and a standard deviation of 4 . Use...
A normal distribution has a mean of 15 and a standard deviation of 4 . Use the? 68-95-99.7 rule to find the percentage of values in the distribution between 15 and 23 .
Given a normal distribution with A MEAN of 50 and standard deviation of 4, what is...
Given a normal distribution with A MEAN of 50 and standard deviation of 4, what is the probability that: a. X > 45? b. X < 43? c. Six percent of the values are less than what X value? d. Between what two X values (symmetrically distributed around the mean) are sixty-five percent of the values?
find the mean,variance and standard deviation for the following probability distribution 0 2 4 7 9...
find the mean,variance and standard deviation for the following probability distribution 0 2 4 7 9 15 22 40 34 8
Find the probability that the Normal random variable with mean 20 and standard deviation 3.2 will...
Find the probability that the Normal random variable with mean 20 and standard deviation 3.2 will generate an outlier (outside the inner fences) observation. Remember that the lower (upper) inner fence is 1.5*IQR below (above) the first (third) quartile. a. 0.0035          b. 0.0051          c. 0.0058          d. 0.0062          e. 0.0070
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT