40 soil samples are collected to check for a particular organic pollutant. There is a probability of 0.25 that each samp

[answerhappygod]

40 soil samples are collected to check for a particular organic
pollutant. There is a probability of 0.25 that each sample contains
the pollutant. Assume that these samples are independent, and 𝑋 is
the number of samples that contain the pollutant.
a. Estimate P(𝑋≤5) using the Binomial distribution (show
calculations with 4 decimals).
b. Estimate P(𝑋>5) using the Normal approximation of the
Binomial distribution (show calculations with 4 decimals).