A normally distributed random variable with mean 3.3 and standard deviation 6.8 is sampled to get two independent values, x1 and x2. The mean is approximated using the formula (6x1+8x2)/15. Determine the bias and the mean squared error for this approximation of the mean.
A normally distributed random variable with mean 3.3 and standard deviation 6.8 is sampled to get...
A random variable is normally distributed with a mean of 30 and a standard deviation of 5. If an observation is randomly selected from the distribution, a. What value will be exceeded 15% of the time? b. What value will be exceeded 80% of the time? c. Determine two values of which the smaller has 5% of the values below it and the larger has 5% of the values above it. d. What value will 20% of the observations be...
If the mean and the standard deviation of a continuous random variable that is normally distributed are 20 and 5, respectively, find an interval that contains 68% of the distribution. a. 18,24 b. 12,25 c. 10,30 d. 15,25
A random variable X is normally distributed with a mean of 2 and a standard deviation of 1.4. Calculate the point c such that P ( X ≥ c ) = 0.5.
QUESTION 5 Mean and Standard Deviation. Assume that the random variable X is normally distributed, with mean - 70 and standard deviation 8 16. Which of the following is the probability P(X <90)? (CHOOSE ONE ANSWER) (4 points) 0.8944 0.8849 0.1056 0.9015 QUESTION 6 Human Pregnancies. The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days. (CHOOSE...
Assume the random variable X is normally distributed with mean as 41 and the standard deviation as 7. Find the 5th percentile.
Assume that the random variable X is normally distributed, with mean and standard deviation Compute the probability P(17 < X < 65).
Assume that the random variable X is normally distributed, with mean is 110 and standard deviation is 10. Compute the probability P(X > 118).
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
assume that the random variable x is normally distributed with mean 51 and standard deviation 11 ut the random variable is may buted with mean 51 and standard deviation 11. Compute the probability. Be sure to draw a normal curve with the coming Which of the shaded regions corresponds to POX 4112 DB ос ST PX41-
X is a normally distributed random variable with a mean of 7.0 and a standard deviation of 3.00. Find the value x such that P(X < x) is equal to 0.86. (Note: the diagram is not necessarily to scale.) 10.24 11.63 7.00 8.14