(a) A factory produces steel pipes which are required to pass quality checks, the probability of being rejected is 0.15. Consider a batch of 10 pipes, what is the probability of 3 pipes being rejected? Find the mean and standard deviation of the rejected pipes. (b) Further quality checks of the steel pipes are carried out, along with mechanical testing. Transfer yield strength (MPa) was estimated for a sample of 20 pipes, use the absolute frequencies to generate a histogram of the values obtained for yield strength. Use appropriate descriptive statistics to summarise the data, you may approximate your answers to 1dp. 527 545 515 534 536 522 528 510 511 526 517 527 524 501 519 502 536 514 534 558 (c) Use the median and mean to determine whether or not the distribution of the dataset given in Q1b, is skewed.