Which of the following values is equivalent to the probability P(Z > 0.54) with the standard normal distribution (mean = 0, standard deviation = 1)?
a) 1 - P(Z < - 0.54)
b) P(Z < - 0.54)
c) P(Z < 0.54)
d) 1 - P(Z < 0.54)
Which of the following values is equivalent to the probability P(Z > 0.54) with the standard...
For a Standard Normal random variable Z, calculate the probability P(-0.25 < Z < 0.25). For a Standard Normal random variable Z, calculate the probability P(-0.32 < Z < 0.32). For a Standard Normal random variable Z, calculate the probability P(-0.43 < Z < 0.43). Calculate the z-score of the specific value x = 26 of a Normal random variable X that has mean 20 and standard deviation 4. A Normal random variable X has mean 20 and standard deviation...
Determine the area under the standard normal curve that lies between the following values. z=0.6 and z = 1.4 0 0.7257 0.2743 0.9192 0.1935 Assume that the random variable X is normally distributed, with mean p = 90 and standard deviation c = 12. Compute the probability P(X < 105). 0.9015 0.8944 0.8849 ОО 0.1056 The sampling distribution of the sample mean is shown. If the sample size is n = 25, what is the standard deviation of the population...
8. Which of the following is not a characteristic of the normal probability distribution? Select one: a. Symmetry b. The total area under the curve is always equal to 1. c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean d. The mean is equal to the median, which is also equal to the mode. 10. Given that z is a standard normal random variable, what is the probability...
We can now use the Standard Normal Distribution Table to find the probability P(-0.25 sz s 1). 0.05 0.06 0.07 0.08 0.09 -0.2 0.4013 0.3974 0.3936 0.3897 0.3859 0.00 0.01 0.02 0.03 0.04 Using these 1.0 0.8413 0.8438 0.8461 0.8485 0.8531 The table entry for z = -0.25 is 0.00 and the table entry for z = 1 is values to calculate the probability gives the following result. PC-0.25 sz s 1) P(Z < 1) - P(Z 5 -0.25) 10....
1) Given a standard normal distribution, find the probability of having a z score higher than 1.67 ```{r} ``` 2) Given that test scores for a class are normally distributed with a mean of 80 and variance 36, find the probability that a test score is lower than a 45. ```{r} ``` 3) Given a standard normal distribution, find the Z score associated with a probability of .888 ```{r} ``` 4) Find the Z score associated with the 33rd quantile...
The variable Z has a standard normal distribution. The probability P(-1.27 < Z < 2.19) is: a. 0.9852 b. 0.1020 c. 0.8830 d. 0.8832 QUESTION 6 The probability P(-1.45<= Z <= 0) is: a. 0.9929 b. 0.0735 c. 0.4265 d. 0.5071 3 If P(Z > z) = 0.7881, then the z-score is: a. 0.80 b. -0.80 c. 0.58 d. -0.58
For a standard normal probability distribution, find the following a) P(z<1.2) b) P(z<−0.45) c)P(−0.4<z<1.8)
A) 0.7995 11. If Z is a standard normal variable find the probabilities of a) P(Z <-0.35)- @w B) 0.3982 C) 1.2008 D) p.4013 (2 points) b) P(0.25s Z<1.55) (3 points) c) P(Z > 1.55) (2 points) 12. Assume that X has a normal distribution with mean deviation .5. Find the following probabilities: 15 and the standard a) P(X < 13.50)- 3 points). b) P (13.25 <X < 16.50)- (5 points). B) 0 2706 C0 5412 D) 1.0824 A mountuin...
1. Determine the area under the standard normal curve that lies between the following values. z=1 and z=2 2.Find the area under the standard normal curve to the right of z=1. 3. Assume that the random variable X is normally distributed, with mean mu equals 80 and standard deviation sigma equals 10. Compute the probability P(X>88). 2. Determine the area under the standard normal curve that lies between the following values. z=1 and z=2 3. A new phone system was...
2) Consider a random variable with the following probability distribution: P(X = 0) = 0.1, P(X=1) =0.2, P(X=2) = 0.3, P(X=3) = 0.3, and P(X=4)= 0.1. A. Generate 400 values of this random variable with the given probability distribution using simulation. B. Compare the distribution of simulated values to the given probability distribution. Is the simulated distribution indicative of the given probability distribution? Explain why or why not. C. Compute the mean and standard deviation of the distribution of simulated...