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Group B

Satisfactory Essays

Group B Questions: Ch. 4 Q 1 A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there is a 36% chance that the player will miss both shots, a 14% chance that he will make one of the shots, and a 50% chance that he will make both shots. a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.) x P(X = x) 0 1 2 b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.) P( no more than one shot) = P(X=0)+P(X=1) = 0.36+0.14 = 0.50 Probability c. What is the probability that he makes at least one of the shots? (Round your answer to 2 decimal places.) …show more content…

A demographer assumes the following probability distribution of the household size in India. Household Size Probability 1 0.05 2 0.08 3 0.15 4 0.21 5 0.26 6 0.12 7 0.10 8 0.03 a. What is the probability that there are less than 5 members in a typical household in India? (Round your answer to 2 decimal places.) P(X<5) = P(X=1)+P(X=2)+P(X=3)+P(X=4) = 0.05+0.08+0.15+0.21 Probability b. What is the probability that there are 5 or more members in a typical household in India? (Round your answer to 2 decimal places.) P( 5 or more ) = 1 – P(Less than 5) = 1 – P(X<5) = 1 - 0.49 = 0.51 Probability c. What is the probability that the number of members in a typical household in India is greater than 3 and less than 6 members? (Round your answer to 2 decimal places.) P(X=4)+P(X=5) = 0.21+0.26 = 0.47 Probability Ch. 4 Q 8 Assume that X is a binomial random variable with n = 27 and p = 0.92. Calculate the following probabilities. (Round your intermediate and final answers to 4 decimal places.) a.P( X = 26 ) = ( 27 26 ) * ( 0.92^26) * ( 1 - 0.92 )^1 = 0.2472 b.P( X = 25 ) = ( 27 25 ) * ( 0.92^25) * ( 1 - 0.92 )^2 = 0.27937 c.P( X > = 25 ) = 1 - P( X < 25) = 0.631771 a. P(X = 26) b. P(X = 25) c. P(X ≥ 25) Ch. 5 Q 1 Entrance to a prestigious MBA program in India is determined by

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