1. Seeds are often treated with a fungicide for protection in poor-draining, wet environments. In a small-scale trial prior to a large-scale experiment to determine what dilution of the fungicide to apply,fourtreated seeds andtenuntreated seeds were planted in clay soil and the number of plants emerging from the treated and untreated seeds were recorded. Suppose the dilution was not effective and only four plants emerged. LetXrepresent the number of plants that emerged from treated seeds. (Round your answers to three decimal places.)

(a) Find the probability thatX= 4. (b) Find P(X3).

(c) Find P(2X3).

2. Evaluate these binomial probabilities. (Round your answers to three decimal places.)

(a) C^8v2(0.2)⁰(0.8)⁸

(b) C^8v1 (0.2)¹(0.8)⁷

(c) C^8v2(0.2)²(0.8)⁶

(d) P(X 1) when n = 8, p = 0.2

(e) P(two or fewer successes)

3. LetXbe a binomial random variable withn=9,p=0.2.Find the following values. (Round your answers to three decimal places.)

(a) P(X= 4)

(b) P(X1)

(c) P(X> 1)

(d) =np

=

(e) =

npq

=