Ans:
a)91st percentile
P(Z<=z)=0.91
z=normsinv(0.91)=1.34
b)22nd percentile
P(Z<=z)=0.22
z=normsinv(0.22)=-0.77
c)
99.9th percentile
P(Z<=z)=0.999
z=normsinv(0.999)=3.09
. (Ch 1.4) Draw a picture that illustrates each of the percentiles associated with standard normal...
3. (Sec. 4.3, 30) Find the following percentiles for the standard normal distribution using a standard normal table: (a) 50th percentile (b) 89th percentile (c) 1st percentile
Please show all work, I need help. Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) (a) 91st (b) 9th (c) 75th (d) 25th (e) 10th You may need to use the appropriate table in the Appendix of Tables to answer this question
10. What percent of a standard Normal model is found in each region? Draw a picture first. a) z2.05 b) z<-0.33 c) 1.2 <z 1.8 d) z<1.28 6. The pediatrician in Exercise 4 explains to the parents that the most extreme 5% of cases often require special treatment or attention. a) Does this child fall into that group? b) What do you need to assume about the heights of 2-year-olds to find your answer to part a?
Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) (a) 61st (b) 39th (c) 75th (d) 25th
Math 1600 Laboratory Assignment #11 Page 2 Calculating Percentiles for Normal Random Variables Example: The speed of cars on a certain stretch of freeway is normally distributed with mean 65 mph and standard deviation 5 mph. Find the 98 percentile of the speeds. Solution Let X - 98 percentile of speeds. Then X = - +Z0-65+Z(5), where is the 98 percentile for Z. We find Z by looking for the probability 9800 in Table 3. It is not there, so...
Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round your answers to two decimal places.) (a) 81st (b) 19th (c) 76th (d) 24th (e) 10th
Find these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or software, (a) P(Z < 1.2) (d) P(Z >0.4) (b) P(Z > -1) (e) P(-1SZs1.2) (c) P(|<1.5)
17. Find the probability that a piece of data from a standard normal distribution will have a standard score described by the following: a) Less than z = 1.25 b) Between z = – 2.03 and z = – 0.69 c) Find the score associated with the 62nd percentile
For each probability and percentile problem, draw the picture. Let X ~ Exp(0.3). Part (a) decay rate = 0.3 Correct: Your answer is correct. Part (b) μ = 0.3333 Incorrect: Your answer is incorrect. (rounded to two decimal places) Part (c)
For each probability and percentile problem, draw the picture. The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 12 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection. A) What is the probability that the speed of a car is at most 27 mph? (Enter your answer as a fraction.) B) What is the probability that the speed of a car is...