Question: Could I have help with this problem. Trying to study for midterm coming up and confused on this. The average birth weight in 2005 for

Could I have help with this problem. Trying to study for midterm coming up and confused on this.

The average birth weight in 2005 for a certain country was 3469 grams. Assume that the average birth weight is normally distributed, with a standard deviation of 430 grams. Let X be a random variable variable representing the birth weight.

a) What is the probability that a randomly selected newborn will weigh between 3019 and 4259 grams?

b) Find the weight that is symmetric about the mean and that includes 87% of this population. That is, find c when P(-c < X < c) = 0.87

c) What is the probability that the weight will be below 4259 grams if it is know that it exceeds 3010 grams?

d) What is the probability that a newborn selected at random from this population will weight more than 3311 grams?

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