Question 1200618
**1. Identify the Distribution**

* This scenario follows a binomial distribution:
    * There are a fixed number of trials (n = 15 patients)
    * Each trial has two possible outcomes (having Lyme disease or not)
    * The probability of success (having Lyme disease) is constant (p = 0.3)
    * The trials are independent of each other.

**2. Calculate the Standard Deviation**

* The standard deviation (σ) of a binomial distribution is given by:

   σ = √(n * p * (1 - p)) 

   where:
       * n = number of trials (15 patients)
       * p = probability of success (0.3)
       * (1 - p) = probability of failure (0.7)

* Calculate:
   σ = √(15 * 0.3 * 0.7) 
   σ = √(3.15) 
   σ ≈ 1.8

**Therefore, the standard deviation of the number of patients with Lyme disease in the sample is approximately 1.8.**