Non-Standard Normal Distribution worksheet Name and section: 1. For a distribution with pa-3 and ?-2, find...
Assume the random variable x is normally distributed with mean u = 80 and standard deviation c=5. Find the indicated probability. P(65<x< 73) P(65<x< 73)=0 (Round to four decimal places as needed.) X 5.2.17 Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122. Assume the vari (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about...
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...
1.For a standard normal distribution, find: P(0.31 < z < 2.53) For this I got 0.616 and it was marked as incorrect so this is not the answer 2. For a standard normal distribution, find: P(z < 1.9) 3.For a standard normal distribution, find: P(z > -0.61) Express the probability as a decimal rounded to 4 decimal places. 4. For a standard normal distribution, find: P(z < c) = 0.7899 Find c rounded to two decimal places. 5. For a...
1) We know that z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that z is less than 1.15 is . Use your z-table and report your answer to four decimal places. 2)A sample of 15 grades from a recent Stats exam has a mean of 69.3 points (out of a possible 100 points) and a standard deviation of 16.5 points. Calculate the z-score for the student who scored 74.1 points on...
For a standard normal distribution, find: P(z > -2.52) (round to 3 decimal places) For a standard normal distribution, find: P(-2.56 < z < -2.52) (round to 3 decimal places) For a standard normal distribution, find: P(z > c) = 0.2726 Find c. (round to 2 decimal places) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.3 years, and standard deviation of 1.7 years. If you randomly purchase one item, what is the probability it...
6. Find the median for the standard normal distribution. (Keep 2 decimals) 7. Find IQR for the standard normal distribution. (Keep 2 decimals) 8. P(|Z|> 1.15) 9. Let X ~ N(216; 24). Find: (a) P(X <= 241) (b) P(175 < X < 226) (c) The first quartile for X (d) The third quartile for X (e) the IQR for X (f) P(|X-216|> 39) 10. A soft drink machine discharges an average of 375 ml per cup. The amount of drink...
hapter 8: Sampling Distribution 1. The distribution of i is normal: n 2 30. 2. Be able to find the mean of sample means: Hx =H 3. Be able to find the standard deviation of sample means: Ox = %3D 4. Be able to distinguish and find the probability for an individual value x and a group x. 5. Be able to distinguish and find an individual value x or a group average £ from a given probability. 6. Examples...
Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 122. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 550? (b) If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 525? (a) Approximately 63.78 % of the SAT verbal scores are less than 550. (b) You would expect that approximately _______ SAT verbal scores would...
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 13) Shaded area is 0.9599. A) - 1.38 B) 1.03 1.82 D) 1.75 14) Shaded area is 0.0694. A) 1.45 B) 1.26 1.48 D) 1.39Find the indicated value. 15) z0.005 A) 2.535 D) 2.015 92.835 B) 2.575 16) z0.36 A) 1.76 B) 0.45 1.60 D) 0.36 Provide an appropriate response. 17) Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed...
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $65, (b) between $87 and $100, and (c) more than $110. (a) The probability that a randomly selected utility bill is less than $65 is _______ (Round to four decimal places as needed.) Use the normal distribution to the right to answer the questions. (a) What percent of the...