(a) Find the percentage of women who should have heights of 63.5 inches or less.    (b) In a sample of 123 women, according to the probability obtained in part a, how many should have heights of 63.5 inches or less?

The weights of Australian Cattle Dogs are normally distributed with a mean of 25 kg and a standard deviation of 4 kg. What is the probability (%) that a randomly selected dog weighs between 23 kg and 32 kg?

A biologist found the wingspans of a group of monarch butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. Find the probability of randomly selecting a value (Hint: round off z scores to 2 decimal places) 1. less than 48.5 mm? 2. between 50 mm and 55 mm?

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 13.3 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 13.3 weeks and that the population standard deviation is 8.5 weeks. Suppose you would like to select a random sample of 198 unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is between 12.3 and 12.9.P(12.3 < X < 12.9) = Find the probability that a sample of size n=198n=198 is randomly selected with a mean between 12.3 and 12.9.P(12.3 < M < 12.9) =

Based on data from the National Health Survey, women between the ages of 18 and 24 have an average systolic blood pressures (in mm Hg) of 114.8 with a standard deviation of 13.1. Systolic blood pressure for women between the ages of 18 to 24 follow a normal distribution. a. If one woman from this population is randomly selected, find the probability that her systolic blood pressure is greater than 128

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 35.2 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 35.2 weeks and that the population standard deviation is 5.6 weeks. Suppose you would like to select a random sample of 29 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is between 33.1 and 33.8. P(33.1 < X < 33.8) = 0.0475 29 is Find the probability that a sample of size n randomly selected with a mean between 33.1 and 33.8. Р(3.1 < М < 33.8) - Enter your answers as numbers accurate to 4 decimal places.

1) The mean and standard deviation of a population are 200 and 20, respectively.The probability of selecting one data value less than 190 is ____ %. (Round answer to the nearest percent (whole number). Do not write the % sign.) 2) A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at least 25.2 hours of television is? Give answer to the nearest whole number, not a percent. 3)  A. C. Neilsen reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours.If 20 children between the ages of 2 and 5 are randomly selected, the number of children in the sample who watch at most 22.5 hours of television is? .  Give…

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 9 weeks. Suppose you would like to select a random sample of 50 unemployed individuals for a follow-up study.Find the probability that a single randomly selected value is between 14.8 and 16.2.P(14.8 < X < 16.2) = Find the probability that a sample of size N =50 is randomly selected with a mean between 14.8 and 16.2.P(14.8 < M < 16.2) = Enter your answers as numbers accurate to 4 decimal places.

Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm?0.1357 0.1151 0.1841 0.1587