1. (5 points) Suppose Z is a random variable that follows the standard normal distribution. a)...
1. (5 points) Suppose Z is a random variable that follows the standard normal distribution. a) Find P(Z > 0.45). b) Find P(0.7 SZ 1.6). c) Find 20.09. d) Find the Z-score for having area 0.18 to its left under the standard normal curve. e) Find the value of z such that P(-2SZS2) -0.5.
40 B 1. (5 points) Suppose Z is a random variable that follows the standard normal distribution. a) Find P(Z > 0.45). b) Find P(0.7 SZ 1.6). c) Find 20.09. d) Find the Z-score for having area 0.18 to its left under the standard normal curve. e) Find the value of z such that P(-2SZS2) -0.5.
3. (4 points) The scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. a) Find the proportion of students having scores greater than 85. b) If the bottom 3% of students will fail the course, what is the lowest score that a student can have and still be awarded a passing grade? Please round up to the nearest integer.
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...
Let Z be the standard normal variable. Find z if z satisfies the given value. (Round your answer to two decimal places.) P(Z > 2) = 0.9535 z = To be eligible for further consideration, applicants for certain civil service positions must first pass a written qualifying examination on which a score of 75 or more must be obtained. In a recent examination, it was found that the scores were normally distributed with a mean of 70 points and a...
For each of the following, assume that X is a standard normal random variable 1.P(Z < 1.55) = 2.P(Z > 1.36) = 3.P(-1.14 < Z < 1.45) = 4.P(Z < -3.56) = 5.P(Z > -2.75) = 6.P(-1.25 < Z < -1.15) 7.What score separates the lower 20% of scores from the top 80% of scores? 8.What score separates the top 2.5% of scores?
PART A: APPLYING THE NORMAL DISTRIBUTION P( z < -1.42) P( z > -2.17) P(z > 2.35) P(-2.33 < z < 1.84) 2010 MCAT exam scores are normally distributed with a mean score of 25 with a standard deviation of 6.4 What proportion of students had an MCAT score over 30? What proportion of students had scores less than 40? For model year 2010 vehicles the combined city/hwy gas mileage is approximately normal with a mean of 20.3 mpg and...
100% Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(-2.18 SZS -0.45) - Shade the corresponding area under the standard normal curve.
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...
1. A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to each of the following values: a. A score that is 20 points above the mean. b. A score that is 10 points below the mean. c. A score that is 15 points above the mean. d. A score that is 30 points below the mean.