Question

An experiment was conducted in which slabs of pavement were tested for their load carrying ability before cracking. 200 paving slabs were tested to destruction. The results show the weight that was carried at the instance of cracking. When the results were tabulated, the probability density function of the cracking load was a normal distribution with u=500N and o = 120N. Sketch the probability distribution function, with careful attention to detail, noting scales and important points on the graph. What percent of the slabs tested cracked at less than 480N? Another lab did the same experiment, but they did not report the load at which the slabs cracked, they merely loaded each slab with 500N and recorded Y or N whether the slab cracked. For the 200 slabs, assuming the basic physics of the slabs are the same as above, sketch the probability density function (yes, with numbers) and explain what distribution it follows.

Answer 1

Ano buono borason for dos ao Ans: Giren, u: 500 7911 l=500 foro femootoo 0 = 120 Assume normal distribution XNN (u=500, 52 (120)2) P(x)} 900 U=500 2993 X NN (500 (120) P[x2480] - P(1.< 480-15.00 - P(24-0.17 using 2-table 0.4325 = 43.25%

0 Probability density fonction of the Cracking load follows normal distribution. Yo normal distoibution. Plot ol 4-20 lao u leto Mt2