Problem 1: (6 Points) Consider a state-of-the-art component with a Weibull distribution having shape parameter 1.5 and scale parameter 8000 (units in hours). The function to be performed by this component is contractually specified to have a 5000h reliability of 0.94. Thus, redundancy will have to be employed, say by putting components in parallel. Using MCS determine the least number of redundant components to be used in order to reach that reliability. Replicate 10,000 times and determine the number of required components (original + redundant parts), then determine the average reliability and plot a histogram of the resulting 10,000 reliability values.

Cass decided to sell game programs for the hockey game. the printing cost was over 20 cents per program with a selling price of 50 cents each. cass sold all but 50 of the programs, and made a profit of $65. how many programs were printed? letting p represent the number of programs printed, set up an equation that describes this situation. then solve your equation for p.

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Which of the following is true for the relation f(x)=2x^2+1