Q1) A panel of prospective jurors includes 30%% married men,, 1 0%% single men,, 40%% married women,, and 20%% single women.. If the selection is random ly , what is the probability that a jury will consist of four married men,, one single man,, five married wo men and two single women??

Q2) the height of students at a local university are normally distributed with a mean of 168 cm and standard deviation of 8 cm.. O ne of these students is chosen at random. Find the probability that the height of the student is :

i.. Less than 172 cm. ii Between 160 cm and 170 cm.

(b) Based on (a) given that 30%% of all these students have height less than H cm,, find the value of H.

(c) Based on (a) If the an adjustment can be made to the number of students which alters the mean but leaves the standard deviation u nchanged,, what should the new mean height be if it is required that 95%% of the height less than 170 cm .