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GC&SU / Math / Mat 2100 / college statistics study guide

college statistics study guide Description

Description: These are notes over the past study guides with material that will be on the final
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Study Guide Solutions – Baugh – Exam 2 For the discrete probability distribution shown:

x 5 10 20 40 P(X=x ) 25% 12% 15% 48%

) What is the sample space?

L1  L2  *Create Lists by pressing STAT then Edit #1* (a.) Find the mean (μ)  Sum(L1 * L2) = 24.650 *To calculate Sum,  press 2nd STAT, go to MATH, and Sum is #5. To insert L1, press 2nd 1 and to insert L2, press 2nd 2. *  Or by hand: (5 * .25) + (10 * .12) + (20 * .15) + (40 * .48) = 24.65 Find the variance (σ2)  Sum(L12 * L2) = 846.250 then subtract 24.6502  846.250 – 607.62 = 238.628 Find the standard deviation (σ)  square root the variance  √238.628 = 15.448 (b.) Fill out the table of cumulative probabilities below:

x 5 10 20 40  P(X≤x) 25% 37% 52% 100%

) What is the probability of 3 errors in a given hour?

Ho is not rejected Ho is rejected Ho true Correct Type 1 error “False Positive” Ho false Type 2 error “False Negative” Correct