Lolo’s bakery is a start-up bakery establishment selling either chocolate donut or plain bagel. we expect 65% of the customers to buy the chocolate donut versus the plain bagel. each customer is independent of each other. let x be the number among the next 10 purchasers who buy chocolate donut. (a) compute the probability that x is exactly 10. (b) compute the mean of x and the variance of x. (c) we only have 8 chocolate donuts and 6 plain bagels. what is the probability that among the requests of these 10 customers can all be met from existing stock?