Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.9 kg. let x be the weight of a randomly selected seedless watermelon. round all answers to 4 decimal places where possible.

a. what is the distribution of x? x ~ n( , )

b. what is the median seedless watermelon weight?
[] kg.

c. what is the z-score for a seedless watermelon weighing 7.4 kg? []

d. what is the probability that a randomly selected watermelon will weigh more than 6.5 kg? []

e. what is the probability that a randomly selected seedless watermelon will weigh between 6.4 and 7 kg? []

f. the 90th percentile for the weight of seedless watermelons is []
kg.

Exclude leap years from the following calculations. (a) compute the probability that a randomly selected person does not have a birthday on october 4. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability that a randomly selected person does not have a birthday on the 1st day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability that a randomly selected person does not have a birthday on the 30th day of a month. (type an integer or a decimal rounded to three decimal places as needed.) (d) compute the probability that a randomly selected person was not born in january. (type an integer or a decimal rounded to three decimal places as needed.)