HW chap 6

# HW chap 6 - = = = = = - - - - - -

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MATH 2300 026 Homework #6 Name___________________________________ Due on 3 rd November 1. When a coin tossed for three times, eight equally likely outcomes are possible. Let X denotes the total number of heads obtained in the four tosses. Find the probability distribution of the random variable X. Leave your probabilities in fraction form. A) x| P(X = x) 0| 1/16 1| 1/4 2| 3/8 3| 1/4 B) x| P(X = x) 1| 1/4 2| 7/16 3| 1/4 C) x| P(X = x) 0| 1/8 1| 3/8 2| 3/8 3| 1/8 D) x| P(X = x) 0| 1/16 1| 3/16 2| 3/16 3| 1/16 E) x| P(X = x) 0| 0 1| 1/4 2| 3/8 3| 1/4 2. Suppose that two balanced dice, a red die and a green die, are rolled. Let Y denote the value of g − G where G represents the number on the green die and R represents the number on the red die. What are the possible values of the random variable Y? A. - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5 B. - 6, - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6 C. 0, 1, 2, 3, 4, 5, 6 D. 0, 1, 2, 3, 4, 5 3. The random variable X is the number of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table. Find the mean of the given probability distribution. ± 0 1 2 3 4 5 ²(³ = ±) ´ µ¶ ·¸ ¶¹ ¸ ·º ´ ¶¹ · ·º · µ¶ A) 1.438 B) 1.833 C) 2.5 D) 1.542 4. The area that lies between −1.10 and −0.36 . Use a table to find the specified area under the standard normal curve. A) 0.4951 B) - 0.2237 C) 0.2259 D) 0.2239 E) 0.7763 5. Find the z - score for which the area under the standard normal curve to its left is 0.96 Use a table. A)

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## This note was uploaded on 12/12/2011 for the course STATS 2300 taught by Professor Abeysundara during the Fall '11 term at Texas Tech.

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HW chap 6 - = = = = = - - - - - -

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