Despite the fact that a majority of accidents happen in one's home, only 44% of americans have a first-aid kit in their homes. suppose a random sample of 300 american homes is obtained. answer each problem using the normal approximation to the binomial distribution. (round your answer to four decimal places.) (a) find the probability that fewer than 124 homes have first-aid kits. (b) find the probability that more than 143 homes have first-aid kits. (c) find the probability that exactly 129 homes have first-aid kits.

The amount of calories consumed by customers at the chinese buffet is normally distributed with mean 2743 and standard deviation 652. one randomly selected customer is observed to see how many calories x that customer consumes. round all answers to 4 decimal places where possible. a. what is the distribution of x? x ~ n(correct,correct) b. find the probability that the customer consumes less than 2355 calories. incorrect c. what proportion of the customers consume over 3026 calories? incorrect d. the piggy award will given out to the 1% of customers who consume the most calories. what is the fewest number of calories a person must consume to receive the piggy award? incorrect calories. (round to the nearest calorie)