If the random variable x is normally distributed, ______ percent of all possible observed values of x will be within three standard deviations of the mean
68.26
95.44
99.73
99
If the random variable x is normally distributed, ______ percent of all possible observed values of...
Please detailed answers and workings should be given. thank you 11) A random variable x is normally distributed with μ=22 and σ-5. Determine the distance, in units of standard deviations, between each of the following values of x and mean a) x-10 b) x-20 c) x-25 d) x-30 e) x-0 x=60 11) A random variable x is normally distributed with μ=22 and σ-5. Determine the distance, in units of standard deviations, between each of the following values of x and...
A random variable X is normally distributed. Let F (x) be the CDF of X. Observations of a very large sample size shows that F (20.21) = 0.025 and F(41.63) = 0.975. Determine the following probability: P (X < 35.00). Hint: for a normal distribution, about 95% of the scores falls within plus or minus two standard deviations from the mean.
Find the probability that a normally distributed random variable x will lie more than z = 1.85 standard deviations above its mean.
9. The random variable x is distributed normally with mean Mx. and variance 6 and random Variable Y is normally distributed with mean & and Variance or 2x=34 is distributed hormally with mean 12 and variance 42 Assume Independence Find values Ux and by. Possible answers: Mx = 18 & Gyr by=va mx-128 6y=842 My 686y=2 ty=-68
A random variable is normally distributed with a mean of u = 90 and a standard deviation of o = 10. (a) The following figure shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 60 and 120). Areas Under the Curve for any Normal Distribution 99.7% 95.4% + 68.3% – pi - 30 -lo u u + lo u + 30 A...
approximately 95% of all values of a normally distributed population lie within how many standard deviations of the population mean
From our last lesson about z-score, we know that z-score corresponds to different proportions in a normal distribution. It might be handy to remember that: 1) 68.26% of all observed data values will fall within ONE standard deviation from the mean (that is to the left and to the right). 2) 95.44% of all observed data values will fall within TWO standard deviations from the the mean (again, that is to the left and to the right). 3) 99.74% of...
Let x be a continuous random variable that is normally distributed with a mean of 36 and a standard deviation of 5. Find the value of the random variable x which is at the 80th percentile. Round to four decimal places.
A variable is normally distributed with mean 16 and standard deviation 2. A. determine the quartiles of the variable obtain and interpret the 85th percentile B. Find the value that 65% of all possible values of the variable exceed C. Find the two values that divide the area under the corresponding normal curve into the middle area of 0.95 and two outside areas of 0.025 d. The two values that divide the area under the corresponding normal curve into a...
Standardize a Normally Distributed Random Varlable Question Suppose X~N(13.5, 1.5), and 9. Find and interpret the z-score of the standardized normal random variable. Sorry, that's incorrect. Try again? The mean is The z-score when x-9 is standard deviations to the left of the mean. This z-score tells you that x-9 is Standardize a Normally Distributed Random Varlable Question Suppose X~N(13.5, 1.5), and 9. Find and interpret the z-score of the standardized normal random variable. Sorry, that's incorrect. Try again? The...