R Studio

In commercial production of eggs, breakage is a major problem. Consequently, the thickness of the eggshell is an important variable. In one study, the shell thickness of the eggs produced by a large flock of White Leghorn hens were observed to follow a normal distribution with mean 0.38 mm and standard deviation of 0.03

Let X be the random variable that represents the shell thickness of a randomly selected egg

Using R Studio, calculate the following:

(a) The probability that a randomly selected egg has a shell thickness greater than 0.4 mm?

(b) The probability that a randomly selected egg has a shell thickness more than 0.4 mm or less than 0.35mm?

(c) The probability that a randomly selected egg has a shell thickness between 0.35 mm and 0.4mm?

(d) The shell thickness c such that 15% of all eggs are less than c?