The weights, in grams, of oranges grown in an orchard, are normally distributed with a mean of 297 g. It

is known that 79 % of the oranges weigh more than 289 g and 9.5 % of the oranges weigh more than 310 g.

(a) Find the probability that an orange weighs between 289 g and 310 g.

The weights of the oranges have a standard deviation of .

(b) Find the standardized value for 289 g.

(c) Hence, find the value of .

The grocer at a local grocery store will buy the oranges whose weights exceed the 35th percentile.

(d) To the nearest gram, find the minimum weight of an orange that the grocer will buy.

The orchard packs oranges in boxes of 36.

(e) Find the probability that the grocer buys more than half the oranges in a box selected at random.

The grocer selects two boxes at random.

(f) Find the probability that the grocer buys more than half the oranges in each box.

Can someone help me with c,d,e and f?