Stats NIE Hw 5

# Stats NIE Hw 5 - Statistics I Recitation Tuesday 2 3:15...

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5 4 3 2 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 Bedrooms Frequency 1 15 19 5 Histogram of Bedrooms # Rooms Probability 2 0.125 3 0.475 4 0.375 5 0.025 Statistics I Recitation Tuesday 2 – 3:15 Section 5-2 4,8,12,16,20,24 4. This reasoning is not correct. Getting 3 girls out of 5 births would imply that there is a 60% chance of giving birth to a girl, which is not true. A better approach would be to state that the probability of getting a girl would be 50%. 8. This table does not describe a probability distribution because the sum of the individual probabilities is .977, which does not equal 1. 12. The study does not meet the criteria to describe a probability distribution. The sum of all the individual probabilities is .9686, which is not equal to 1. 16. a) The mean of the sample probability distribution is 9.5980, given by the equation ∑[x · P(x)] = μ The range of usual outcomes is given by the inequality 9.5980 - 2 σ < X < 9.5980 + 2 σ The standard deviation for the probability distribution is given by the formula σ = √ ( ∑[x 2 · P(x)] – μ 2 ) = 1.3901 9.598 – 2 σ = 6.8178 9.598 + 2 σ = 12.3782

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Stats NIE Hw 5 - Statistics I Recitation Tuesday 2 3:15...

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