Exam 6: Continuous Random Variables and the Normal Distribution

Use the following to answer questions : The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.55 and a standard deviation of 2.02. -The probability that the height of a randomly selected female college basketball player is between 63.9 and 69.2 inches,rounded to four decimal places,is:

According to the Empirical rule,what percent of the data should be between 136 and 260 for a population with mean of 198 and standard deviation of 62?

Use the following to answer questions : We know that football is the favorite sport to watch on television for 36% of adults in the United States.Suppose we take a random sample of 522 adults and obtain their opinions on their favorite sport to watch on television. -The probability that 180 to 215 will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

Use the following to answer questions : In a recent Gallup poll,52% of parents with children under 18 years of age gave themselves a grade of B for the job they are doing bringing up their kids.Assume that this percentage is true for the current population of all parents with children under 18 years of age.You take a random sample of 1044 such parents and ask them to give themselves a grade for the job they are doing bringing up their kids. -The probability that 550 or less will give themselves a grade of B is approximately: (Round the answer to 4 decimal places.)

For the standard normal distribution,the area to the right of z = 0.53,rounded to four decimal places,is:

Use the following to answer questions : We know that 57% of all adults are in favor of abolishing the sales tax and increasing the income tax.Suppose we take a random sample of 420 adults and obtain their opinions on the issue. -The probability that exactly 250 will be in favor of abolishing the sales tax and increasing the income tax is approximately:

For a normal distribution,the z value for the mean is always:

Use the following to answer questions : The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 420 and a standard deviation of 32. -The probability that the score of a randomly selected examinee is more than 530,rounded to four decimal places,is:

The area under the standard normal curve to the left of z is 0.0401 and z is negative.The value of z is:

For a continuous random variable x,the total area under the probability distribution curve of x is always:

The area under the standard normal curve to the right of z is 0.0089 and z is positive.The value of z is:

Let x be a continuous random variable that follows a normal distribution with a mean of 218 and a standard deviation of 26. Find the value of x so that the area under the normal curve to the left of x is approximately 0.8770.Round your answer to two decimal places.

According to the Empirical rule,68.26% of the data would fall between what two values for a population with mean of 816 and standard deviation of 248?

For the standard normal distribution,the area to the left of z = -2.22,rounded to four decimal places,is:

Let x have a normal distribution with a mean of 7.8 and a standard deviation of 3.58.The z value for x = 10.27,rounded to two decimal places,is:

For the standard normal distribution,the z value gives the distance between the mean and a point in terms of the:

Use the following to answer questions : The heights of all female college basketball players produce a distribution that is approximately normal with a mean of 67.55 and a standard deviation of 2.02. -The probability that the height of a randomly selected female college basketball player is more than 65.8 inches,rounded to four decimal places,is:

Use the following to answer questions : The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 420 and a standard deviation of 32. -The probability that the score of a randomly selected examinee is less than 370,rounded to four decimal places,is:

Use the following to answer questions : We know that football is the favorite sport to watch on television for 36% of adults in the United States.Suppose we take a random sample of 522 adults and obtain their opinions on their favorite sport to watch on television. -The probability that 170 to 190 will say that football is their favorite sport to watch on television is approximately: (Round the answer to 4 decimal places.)

For a normal distribution,the spread of the curve decreases and its height increases as: