Question

In: Statistics and Probability

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)

Solutions

Expert Solution


Related Solutions

Consider the standard normal distribution with mean  = 0, and standard deviation  = 1...
Consider the standard normal distribution with mean  = 0, and standard deviation  = 1 a. What is the probability that an outcome z is greater than 2.20? b. What is the probability that z is less than 1.1? c. What is the probability that z is between -1.03 and 0.84? d. What value of z cuts off the upper 23% of the standard normal distribution? e. What value of z cuts off the lower 18% of the standard...
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?
The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6
The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z-scores using z = (x - µ) / σ ?Select one:a. The mean is 1 and the standard deviation is 0.b. The mean is 0 and the standard deviation is 1.c. The mean is 100 and the...
Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 4, what is...
Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 4, what is the probability that NOTE: I'd like to learn how to do this in the shortest way possible on ti 84 plus calculator. a) x>43 b) x<42 c) x>57.5 d) 42 <x<48 e) x<40 or x>55 f) 5% of the values are less than what X value? g) 60% of the values are between what two X values (symmetrically distributed around the mean)? h) 85%...
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?
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 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
A distribution of values is normal with a mean of 80 and a standard deviation of...
A distribution of values is normal with a mean of 80 and a standard deviation of 18. From this distribution, you are drawing samples of size 12. Find the interval containing the middle-most 88% 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 60 and a standard deviation of...
A distribution of values is normal with a mean of 60 and a standard deviation of 28. From this distribution, you are drawing samples of size 22. Find the interval containing the middle-most 60% 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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT