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/Question 3 The following table defines a probability distribution for random variable X. What is the expected value of X? (hint: the definition of expectation) x 0 1 2 P(X=x) 0.5 0.3 0.2 a). 0.5 b). 0.6 c).0.7 d). none of above Question 4 The following graph presents the probability density function, f(x) = 1/3, for a random variable X with range (3,6). What Question 3 The following table defines a probability distribution for random variable X. What is the expected value of X? (hint: the definition of expectation) x 0 1 2 P(X=x) 0.5 0.3 0.2 a). 0.5 b). 0.6 c).0.7 d). none of above Question 4 The following graph presents the probability density function, f(x) = 1/3, for a random variable X with range (3,6). What is P(X<5)? (hint: uniform distribution) 1/3 = 1/6 + 3 4 5 6 d). none of above a). b). 1/3 c). 2/3 Question 5 Trunk diameter for dogwood trees in the Ozark Mountains is normally distributed with a mean of 8 inches and standard deviation of 1 inch. What is the probability that a randomly selected dogwood tree in the Ozark Mountains has a diameter of more than 8 inches? a).0.3 b). 0.4 C).0.5 d). none of above

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Question 3 The following table defines a probability distribution for random variable X. What is the expected value of X? (hint: the definition of expectation) x 0 1 2 P(X=x) 0.5 0.3 0.2 a). 0.5 b). 0.6 c).0.7 d). none of above Question 4 The following graph presents the probability density function, f(x) = 1/3, for a random variable X with range (3,6). What Question 3 The following table defines a probability distribution for random variable X. What is the expected value of X? (hint: the definition of expectation) x 0 1 2 P(X=x) 0.5 0.3 0.2 a). 0.5 b). 0.6 c).0.7 d). none of above Question 4 The following graph presents the probability density function, f(x) = 1/3, for a random variable X with range (3,6). What is P(X<5)? (hint: uniform distribution) 1/3 = 1/6 + 3 4 5 6 d). none of above a). b). 1/3 c). 2/3 Question 5 Trunk diameter for dogwood trees in the Ozark Mountains is normally distributed with a mean of 8 inches and standard deviation of 1 inch. What is the probability that a randomly selected dogwood tree in the Ozark Mountains has a diameter of more than 8 inches? a).0.3 b). 0.4 C).0.5 d). none of above

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Transcribed Image Text: Question 3 The following table defines a probability distribution for random variable X. What is the expected value of X? (hint: the definition of expectation) x 0 1 2 P(X=x) 0.5 0.3 0.2 a). 0.5 b). 0.6 c).0.7 d). none of above Question 4 The following graph presents the probability density function, f(x) = 1/3, for a random variable X with range (3,6). What is P(X<5)? (hint: uniform distribution) 1/3 = 1/6 + 3 4 5 6 d). none of above a). b). 1/3 c). 2/3 Question 5 Trunk diameter for dogwood trees in the Ozark Mountains is normally distributed with a mean of 8 inches and standard deviation of 1 inch. What is the probability that a randomly selected dogwood tree in the Ozark Mountains has a diameter of more than 8 inches? a).0.3 b). 0.4 C).0.5 d). none of above

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Transcribed Image Text: Question 3 The following table defines a probability distribution for random variable X. What is the expected value of X? (hint: the definition of expectation) x 0 1 2 P(X=x) 0.5 0.3 0.2 a). 0.5 b). 0.6 c).0.7 d). none of above Question 4 The following graph presents the probability density function, f(x) = 1/3, for a random variable X with range (3,6). What is P(X<5)? (hint: uniform distribution) 1/3 = 1/6 + 3 4 5 6 d). none of above a). b). 1/3 c). 2/3 Question 5 Trunk diameter for dogwood trees in the Ozark Mountains is normally distributed with a mean of 8 inches and standard deviation of 1 inch. What is the probability that a randomly selected dogwood tree in the Ozark Mountains has a diameter of more than 8 inches? a).0.3 b). 0.4 C).0.5 d). none of above

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{:[x,=0,1,2],[P(x=x)=,0.5,0.3,0.2]:}(-1){:[E(x)=sum xP(x)],[=0xx0.5+1xx0.3+2xx0.2],[=0+0.3+0.4=0.7" (c) "]:}{:[(x)=(1)/(3)quad x in[3","6]],[p(x ... See the full answer