Exam 6: Continuous Random Variables and the Normal Distribution

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For the standard normal distribution,the area between z = 0 and z = -1.38,rounded to four decimal places,is:

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Which of the following is not a characteristic of the normal distribution?

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Use the following to answer questions : The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 31.74 and a standard deviation of 0.58. -The probability that the net weight of a randomly selected box of these cookies is less than 31.58 ounces,rounded to four decimal places,is:

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Let x be a continuous random variable that follows a normal distribution with a mean of 226 and a standard deviation of 31. Find the value of x so that the area under the normal curve between Let x be a continuous random variable that follows a normal distribution with a mean of 226 and a standard deviation of 31. Find the value of x so that the area under the normal curve between   and x is approximately 0.4959 and the value of x is less than   .Round your answer to two decimal places. and x is approximately 0.4959 and the value of x is less than Let x be a continuous random variable that follows a normal distribution with a mean of 226 and a standard deviation of 31. Find the value of x so that the area under the normal curve between   and x is approximately 0.4959 and the value of x is less than   .Round your answer to two decimal places. .Round your answer to two decimal places.

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For the standard normal distribution,the area to the left of z = 1.23,rounded to four decimal places,is:

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For the standard normal distribution,the area between z = 1.03 and z = 1.30,rounded to four decimal places,is:

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For a normal curve,changing the mean from 35 to 46 will cause the curve to shift

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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 less than 67.2 inches,rounded to four decimal places,is:

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For a continuous random variable x,the area under the probability distribution curve between any two points is always:

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Use the following to answer questions : The net weights of all boxes of Top Taste cookies produce a distribution that is approximately normal with a mean of 31.74 and a standard deviation of 0.58. -The probability that the net weight of a randomly selected box of these cookies is between 31.8 and 32.5 ounces,rounded to four decimal places,is:

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You are given that the area under the standard normal curve to the left of z = -2.56 is equal to 0.0052.What is P(-2.56< z < 2.56)?

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The relative frequency density for a class is obtained by dividing the:

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Let x have a normal distribution with a mean of 49.2 and a standard deviation of 4.90.The z value for x = 56.05,rounded to two decimal places,is:

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There are 250 players in a particular youth soccer league that has 11 teams.The league statistician is tabulating the total goals scored over the past season by each player.She assigns the random variable y to represent these totals,and then assigns the following categories for y: 0 to less than 4,4 to less than 8,8 to less than 12,12 to less than 16,16 to less than 20,and 20 to less than 24.The relative frequency density for the 8 to less than 12 class is 0.019.How many of the players scored between 8 and less than 12 goals?

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Let x have a normal distribution with a mean of 123.7 and a standard deviation of 6.01.The z value for x = 133.67,rounded to two decimal places,is:

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Use the following to answer questions : The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1220 and a standard deviation of 130. -The probability that the sales on a given day at this store are more than $1,405,rounded to four decimal places,is:

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As explained in the textbook,the normal distribution can be used as an approximation to the binomial distribution when np > 5 and nq > 5.Let x be the number of times that heads comes up in n flips of a coin for which the probability of a head is p = 0.152.What is the lowest that n can be in order for us to use the normal approximation for the distribution of x?

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The accountant at a department store is analyzing the credit card purchases of 100 of the store's cardholders over the past year.The following table lists the frequency distribution of the continuous random variable x,annual credit card purchases. The accountant at a department store is analyzing the credit card purchases of 100 of the store's cardholders over the past year.The following table lists the frequency distribution of the continuous random variable x,annual credit card purchases.    What is the relative frequency density of the 400 to less than 600 class? Round your answer to 5 decimal places. What is the relative frequency density of the 400 to less than 600 class? Round your answer to 5 decimal places.

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The area under the standard normal curve from zero to z is 0.4906 and z is positive.The value of z is:

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For a normal distribution,the z value for an x value that is to the left of the mean is always:

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