A machine shop retains a service crew to repair machine breakdowns that occur with the following daily probability distribution: # Breakdowns | 1 | 2 | 3 | 4 | 5 | > 5 Probability | 0.14 | 0.27 | 0.30 | 0.18 | 0.09 | ? On any given day, the probability that that five or more machines will break down is: A) 0.02. B) 0.11. C) 0.29. D) 0.98.
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The table below represents the probability distribution for machine breakdowns in a day of operation. Number of breakdowns Probability Interval of Random Numbers 0 0.35 1-35 1 0.20 36-55 2 0.25 56-80 3 0.20 81-00 What is the cumulative probability of 1 breakdown? a. 0.80 b. 0.55 c. 0.20 d. 0.35
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A factory manager collected data on the number of equipment breakdowns per day. From those data, she derived the probability distribution shown in the following table, where $W$ denotes the number of breakdowns on a given day. $$\begin{array}{c|ccc} \hline \boldsymbol{w} & 0 & 1 & 2 \\ \hline \boldsymbol{P}(\boldsymbol{W}=\boldsymbol{w}) & 0.80 & 0.15 & 0.05 \\ \hline \end{array}$$ a. Determine $\mu_{W}$ and $\sigma_{W}$ b. On average, how many breakdowns occur per day? c. About how many breakdowns are expected during a 1 -year period, assuming 250 work days per year?
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