An article: “Second Moment Reliability Evaluation vs. Monte Carlo Simulations for Weld Fatigue Strength (Quality and Reliability Engr. Intl., 2012: 887-896)” examines the use of
Use a uniform distribution with a = 0.20 and b = 4.25 for the diameter X of the welds (mm).
a) Find and plot the density function of X.
b) What is the probability that the diameter exceeds 3 mm?
c) What is the probability that the diameter is within 1 mm of the mean diameter?
d) With a satisfying the condition 0.2 < a < a + 1 < 4.5, what is the probability P(a < X < a + 1)?

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset