SOCR Courses 2011 2012 Stat13 1 Lab4 - Revision history

SeanWang: /* Exercise 4 */

2012-02-16T13:26:27Z

‎Exercise 4

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‎Exercise 4

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‎Exercise 4

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‎Exercise 4

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‎Exercise 4

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‎Exercise 4

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‎Exercise 4

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‎Exercise 1

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‎Exercise 3

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‎Exercise 4

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 #  The probability that a student is admitted in the Math Department Major at a college is <math>45 \%</math>.  Suppose that this year 100 students will apply for admission into the Math major.
 #  What is the distribution of the number of students admitted?  Use SOCR to graph and print this distribution.  What is the shape of this distribution?  What is the mean and standard deviation of this distribution?
-#  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
+#  Write an expression for the '''exact''' probability that among the 100 students at least 55 will be admitted.
-#  Use the binomial distribution applet in SOCR to compute the probability of part (3).
+#  Use the appropriate applet in SOCR to compute the '''exact''' probability of part (3).
 #  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation (i.e., how much does this differ from part (4))?

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 #  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
 #  Use the binomial distribution applet in SOCR to compute the probability of part (3).
-#  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation?
+#  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation (i.e., how much does this differ from part (4))?

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 ====Exercise 4====
 #  The probability that a student is admitted in the Math Department Major at a college is <math>45 \%</math>.  Suppose that this year 100 students will apply for admission into the Math major.
-#  What is the distribution of the number of students admitted?  Use <math>SOCR</math> to graph and print this distribution.  What is the shape of this distribution?  What is the mean and standard deviation of this distribution?
+#  What is the distribution of the number of students admitted?  Use SOCR to graph and print this distribution.  What is the shape of this distribution?  What is the mean and standard deviation of this distribution?
 #  Write an expression for the exact probability that among the 100 students at least 55 will be admitted.
-#  Use SOCR to compute the probability of part (3).
+#  Use the binomial distribution applet in SOCR to compute the probability of part (3).
 #  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation?

← Older revision		Revision as of 13:23, 16 February 2012
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	# Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction). What is the error of the approximation?		# Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction). What is the error of the approximation?

−	~~<math>X \sim N(\mu, \sigma) </math>~~
−
−	~~<math>X \sim N(10, 3) </math>~~

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 #  Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction).  What is the error of the approximation?
-<math> N(\mu, \sigma) </math>
+<math>X \sim N(\mu, \sigma) </math>
-<math> N(10, 3) </math>
+<math>X \sim N(10, 3) </math>

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 ====Exercise 1====
-Use SOCR to graph and print the distribution of <math> X \sim N(20, 3) </math>.  Show on the graph the following points:  <math>\mu \pm 1 \sigma, \mu \pm 2 \sigma, \mu \pm 3 \sigma </math>.  How many standard deviations from the mean is the value <math> x=27.5 </math>?
+Use SOCR to graph and print the distribution of <math> X \sim N(20, 3) </math>.  Show on the graph the following points:  <math>\mu \pm 1 \sigma, \mu \pm 2 \sigma, \mu \pm 3 \sigma </math> by drawing hashmarks of where they are on the printout.  How many standard deviations from the mean is the value <math> x=27.5 </math>?
 ====Exercise 2====

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 The lifetime of tires of brand <math>A</math> follows the normal distribution with mean 40000 miles and standard deviation 4000 miles.
 # Use <math>SOCR</math> to find the probability that a tire will last between 40000 and 46000 miles.
-# Given that a tire will last more than 46000 miles, what is the probability that it will last more than 50000 miles?  Submit a printout and explain how you get the answer.
+# Given that a tire will last more than 46000 miles, what is the probability that it will last more than 50000 miles?  Explain how you get the answer.
 # Given that a tire will last more than 46000 miles, what is the probability that it will last less than 50000 miles?  Submit a printout and explain how you get the answer.

← Older revision		Revision as of 13:17, 16 February 2012
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	# Use SOCR to compute the probability of part (3).		# Use SOCR to compute the probability of part (3).
	# Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction). What is the error of the approximation?		# Use the normal distribution applet in SOCR to approximate the probability of part (3) (do not forget the continuity correction). What is the error of the approximation?
		+