Let X denote the number of cracks on a tube. A mechanical engineer was asked to investigate 50 tubes and count how many cracks were found in a single tube. The engineer recorded the following data summary in Table 3 as follows. Table 3. The number of recorded cracks on tubes Observed nFrag-Atwency 3 Ifthe sample mean is 2.72, and the probability of nding a crack is found to be 0.054 (p = 0.054), is a Binomial distribution the appropriate model to t the data (a: = 0.05)? (10 marks) (CPMK-2, CPL-g) The probability mass function of Binomial distribution is given as follows f(x) = (2)1310 p)"\" , for x = 0,1,2,...,n, where I (2) = please help me sir