# ssrs 2008 r2 barcode font Special Probability Distributions in Software Drawer QR Code 2d barcode in Software Special Probability Distributions

CHAPTER 4 Special Probability Distributions
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4.66. What is the probability of getting a 9 exactly once in 3 throws with a pair of dice 4.67. Find the probability of guessing correctly at least 6 of the 10 answers on a true-false examination.
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4.68. An insurance sales representative sells policies to 5 men, all of identical age and in good health. According to 2 the actuarial tables, the probability that a man of this particular age will be alive 30 years hence is 3. Find the probability that in 30 years (a) all 5 men, (b) at least 3 men, (c) only 2 men, (d) at least 1 man will be alive. 4.69. Compute the (a) mean, (b) standard deviation, (c) coefficient of skewness, (d) coefficient of kurtosis for a binomial distribution in which p 0.7 and n 60. Interpret the results. 4.70. Show that if a binomial distribution with n 4.71. Evaluate (a) g (x )3 f(x), (b) g (x 100 is symmetric; its coefficient of kurtosis is 2.9.
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)4f(x) the binomial distribution.
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The normal distribution
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4.72. On a statistics examination the mean was 78 and the standard deviation was 10. (a) Determine the standard scores of two students whose grades were 93 and 62, respectively, (b) Determine the grades of two students whose standard scores were 0.6 and 1.2, respectively. 4.73. Find (a) the mean, (b) the standard deviation on an examination in which grades of 70 and 88 correspond to standard scores of 0.6 and 1.4, respectively. 4.74. Find the area under the normal curve between (a) z (c) z 2.35 and z 0.50. 1.20 and z 2.40, (b) z 1.23 and z 1.87,
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4.75. Find the area under the normal curve (a) to the left of z 1.78, (b) to the left of z 0.56, (c) to the right of z 1.45, (d) corresponding to z 2.16, (e) corresponding to 0.80 z 1.53, (f ) to the left of z 2.52 and to the right of z 1.83. 4.76. If Z is normally distributed with mean 0 and variance 1, find: (a) P(Z (c) P( Z Z Z 1). 1.64), (b) P( 1.96 Z 1.96),
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4.77. Find the values of z such that (a) the area to the right of z is 0.2266, (b) the area to the left of z is 0.0314, (c) the area between 0.23 and z is 0.5722, (d) the area between 1.15 and z is 0.0730, (e) the area between z and z is 0.9000. 4.78. Find z1 if P(Z z1) 0.84, where z is normally distributed with mean 0 and variance 1. 8).
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4.79. If X is normally distributed with mean 5 and standard deviation 2, find P(X
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4.80. If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many students have heights (a) greater than 72 inches, (b) less than or equal to 64 inches, (c) between 65 and 71 inches inclusive, (d) equal to 68 inches Assume the measurements to be recorded to the nearest inch. 4.81. If the diameters of ball bearings are normally distributed with mean 0.6140 inches and standard deviation 0.0025 inches, determine the percentage of ball bearings with diameters (a) between 0.610 and 0.618 inches inclusive, (b) greater than 0.617 inches, (c) less than 0.608 inches, (d) equal to 0.615 inches.
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CHAPTER 4 Special Probability Distributions
4.82. The mean grade on a final examination was 72, and the standard deviation was 9. The top 10% of the students are to receive A s. What is the minimum grade a student must get in order to receive an A 4.83. If a set of measurements are normally distributed, what percentage of these differ from the mean by (a) more than half the standard deviation, (b) less than three quarters of the standard deviation 4.84. If is the mean and is the standard deviation of a set of measurements that are normally distributed, what percentage of the measurements are (a) within the range 2 (b) outside the range 1.2 (c) greater than 1.5 4.85. In Problem 4.84 find the constant a such that the percentage of the cases (a) within the range (b) less than a is 22%. a is 75%,