Question

111184 [Read-Old . Weed 1: distributions The probability that a part inspected is defective is 0.09, what is the probability of having 2 defects out of the next 5 parts inspected? Name the distibution. Generate Probability Distr. Function Question 2 expecied valaes Calculate the following using the frequency table below: Use the following probability distribution function ( is from the population data). Using Moment generating Functions, Calculate 1. the mean ) 2 the variance (Vx) 3. Standard Deviation (Sx) Answer! X25 82 p(X) | 0.30 | 60| 0) Question 3.a Hopothesis Testing The breaking strength of a fabric has been tested 4 times and found 4.2, 4.5, 3.8, 5.3 psi. Test the claim saying average strength must be 4 psi. Use X values with Cl, use Z/t values and use p values. State the conclusion with p values Answer Queation 3.b The breaking strength of a fabric has been tested 4 times and found 42, 4.5,38, 5.3 psi. Test the claim saying average strength must be greater than 4 psi. Use X values with C use Z/t values (show calculations) and use p values. State the conclusion with p values 9

Answer 1

1) Probability that the part is defective is 0.09, which is constant for each part, there are 5 parts in total

So using Binomial distribution we have

(0.09)2(1-0.09)5-2-10×(0.09)2(0.91)-0.06 1039251

2) Mean is given by

μ = 〉 Plz) = 2.5(0.30) + 8.2(0.50) + 8(0.10) 6.47

The Variance is given by

(Vr) X2p(z) _ μ-2.52(0.30) + 8.22(0.60) + 82(0.10) _ 6.47-6.7581

Standard deviation is

(Sx)-V6.75812.60