Answer to Question #305985 in Statistics and Probability for AAa

Question

1)    The weights of all 3-in-1 coffee sachets produced by a company are distributed normally with mean of  and a standard deviation of Given the probability of a randomly selected sachet weights within  of the mean is

(a) sachets are randomly selected. Find the probability that between 10 and 13 sachets weight within  of the mean.                                                                 

(b) For sample size,  the probability that none of the sachets weights within  of the mean is . Find the value of                                                                          

(c)  sachets are randomly selected. By suing a suitable approximation, find the probability that less than  sachets weight within of the mean.